Helpppppppppppppp plssssss

Helpppppppppppppp Plssssss

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Think of how you might express a line in a formula, there are many ways to do it but the only form the answers have is in the slope intercept form or

y=mx + b

Only B, D, and E fit this form so A and C can now be eliminated.

where m is the slope of a line and b is the y intercept of the line.

Here we see that the y intercept (or where the line hits the y-axis) is 0 so it should not have any constant b. This means it should be of the form

y = mx.

Finally, to find the slope m we use the rise over run of the slope of the line which can be put algebraically as

\(\frac{y_2-y_1}{x_2-x_1}\)

Where two points (x2, y2) and (x1, y1) are essentially being subtracted to give a slope. x2 and y2 are to the right of x1 and y1 to give the slope going from left to right.

On the graph we can see that the points with whole numbers are (0,0) (3,2), and (4,6). So we know that our answer must have x2 y2 and x1 y1 as whole numbers because those are the only options in our answers.

Although B uses the points (3,2) and (4,6) it subtracts them backwards with (3,2) as (x2,y2) instead of them acting as (x1,y1). This gives the slope from right to left which we do not want.

E puts x in the top part of the equation in the form  \(\frac{x_2-x_1}{y_2-y_1}\) which is not the formula used to find slope which is why E is incorrect.

From this, we figure out that the only answer that has one of the options of the form \(\frac{y_2-y_1}{x_2-x_1}\) is answer D because it has the points (4,6) and (0,0) in the right order.


Related Questions

a fair coin is flipped 5 times. what is the probability that the first three flips come up heads or the last three flips come up heads (or both)? a. 1 4⁄ b. 1/4 − 1/32 c. 1 2⁄ d. 1/2 − 1/32

Answers

The probability of either of these events occurring (or both), we add the probabilities together: 1/8 + 1/8 = 1/4.

The probability that the first three flips come up heads or the last three flips come up heads (or both) can be calculated by adding the probabilities of these two events occurring separately.

To find the probability of the first three flips coming up heads, we use the formula for the probability of independent events: P(A and B) = P(A) * P(B). Since each flip is independent and has a 1/2 chance of coming up heads, the probability of the first three flips coming up heads is (1/2) * (1/2) * (1/2) = 1/8.

Similarly, the probability of the last three flips coming up heads is also 1/8.

To find the probability of either of these events occurring (or both), we add the probabilities together: 1/8 + 1/8 = 1/4.

Therefore, the correct answer is a. 1/4.

Learn more about probability up heads https://brainly.com/question/27162317

#SPJ11

determine the principle that will earn $200 as simple interest after 8 years at 5% per annum.

Answers

Answer:25

Step-by-step explanation: 200/8=25x5=125

ERRE
If the discriminant of a quadratic equation is 4, which statement describes the roots?
O There are two complex roots.
O There are two real roots.
O There is one real root.
O There is one complex root.

Answers

An equation can have 2 real roots if the discriminant is 4.

Answer:

B) There are two real roots

Step-by-step explanation:

If the discriminant \(b^2-4ac>0\), then there are 2 real roots. Thus, since \(4>0\), there are indeed two real roots.

a) 2x-4 =0
b) (x-1) (6-2x) =0

Answers

a) 2x - 4 = 0
2x = 4, x = 2

b) (x-1)(6-2x) = 0

If x-1 = 0
=> x = 0 + 1 = 1

If 6-2x = 0
=> 2x = 6-0 = 6
=> x = 3

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

Answers

Answer:

$14

Step-by-step explanation:

Make the variables:

x

x + 3

2x + 3 = 25

2x = 22

x = 11

11, 14

Answer:

$14

Step-by-step explanation:

price of cheaper scarf → x

price of more expensive scarf → x + 3

x + x + 3 = 25

2x + 3 = 25

2x = 22

x = 11

The cheaper scarf costs $11 so the more expensive scarf costs $14.

50 POINTS PLS ANSWER QUICK!!

Which of the following equations is not a linear equation?
(LOOK AT PHOTO!!!)

50 POINTS PLS ANSWER QUICK!!Which of the following equations is not a linear equation?(LOOK AT PHOTO!!!)

Answers

Answer:

I think that B is not a linear equation.

Step-by-step explanation:

Linear eqautions can not contain exponents in them. B has x to the power of 3 and y to the power of 2, ruling it out to be a linear equation.
I hope this helps! :)

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Linear equation has a degree of 1, that means the maximum power of a variable in a linear equation/expression should be 1. if an equation doesn't satisfy this condition then it's not a linear equation.

So, by Observing the choices, we get to the conclusion that the one which isn't a linear equation is B

\(\qquad \sf  \dashrightarrow \: {x}^{3} - 5 {y}^{2} = 4\)

Here, the variables have greater powers tham one, and degree is 3. so it's the required Answer ~

Determine whether AB and XY are
parallel, perpendicular or neither.
A(-3,5) B(-1,3) (-4.-8) Y(4,-6)

Answers

The two lines AB and XY are neither parallel nor perpendicular.

According to the question we have been given the respective coordinates which are :

 A = (-3,5)   , B = (-1,3)

X = (-4,-8)   , Y = (4,-6)

We need to find if AB and XY are parallel , perpendicular or neither.

So to find if they are parallel or perpendicular we will first find out the slope of the line. As when the slope are equal then they are parallel and if they are negative reciprocals of each other then they are perpendicular to each other .

Thus, Slope of AB =  \(m_{1}\) =  \(\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }\)

                                 \(m_{1}\) = (3-5)/(-1+3)

                                 \(m_{1}\) = -2/2

                                  \(m_{1}\) = -1

          Slope of XY = \(m_{2}\) = (-6+8)/(4+4)

                                       = 2/8

                                        = 1/4

As the slope of both lines are not related to each other. Hence, the lines AB and XY  are neither parallel nor perpendicular.

Learn more about slope here : https://brainly.com/question/25980858

#SPJ9

                       

if you babysit for a year for 10hr every weekday how much did you make?

Answers

Answer:

Well, nothing because you didn't say how much money you make a day, a week, or a month.

Step-by-step explanation:

You tried to trick me haha <3

A ship leaves port at noon at a bearing of 143°. The ship’s average rate of speed over this time is 12 miles per hour.


Describe the location of the ship at 4:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario.

Answers

Answer:

The location of the ship with respect to the port at 4:30 pm is \(\vec r = -43.126\,i + 32.498\,j\,[mi]\).

Step-by-step explanation:

The ship is travelling at constant velocity, which means that magnitude and direction of velocity vector remains unchanged in time. Then, position vector with respect to port as a function of time and in component form, that is, rectangular form, is:

\(\vec r = x \,i + y \,j\)

\(\vec r = (r \cdot \cos \theta) \,i + (r\cdot \sin \theta)\,j\)

\(\vec r = (\dot r \cdot t\cdot \cos \theta) \,i + (\dot r \cdot t \cdot \sin \theta)\,j\)

Where \(t\) is the time interval with respect to noon, which is measured in hours.

Given that \(\dot r = 12\,\frac{mi}{h}\), \(\theta = 143^{\circ}\) and \(t = 4.5\,h\), the location of the ship at 4:30 pm is:

\(\vec r = \left[\left(12\,\frac{mi}{h} \right)\cdot (4.5\,h)\cdot \cos 143^{\circ} \right]\, i + \left[\left(12\,\frac{mi}{h} \right)\cdot (4.5\,h)\cdot \sin 143^{\circ} \right]\,j\)

\(\vec r = -43.126\,i + 32.498\,j\,[mi]\)

Answer:

x and y components are (32.498, -43.1263)

They mean that the ship is 32.498 miles east and 43.1263 miles south

Step-by-step explanation:

We will first of all need to find the time interval we are considering for the travel.

This is 4:30 pm - 12 noon = 4 hours 40 minutes. or 4.5 hours.

Next, we will find the distance travelled by multiplying its speed by this time.

This is 12 X 4.5 = 54 miles.

Hence the vector is 54 miles on a bearing of 143 degrees.

we will resolve this vector into its x and y components since our answer is required in component form.

The angle we will consider is (143-90) = 53 degrees

x component = (54 cos 53) = 32.498

y component = -(54 sin 53) = -43.1263

x and y components are (32.498, -43.1263)

They mean that the ship is 32.498 miles east and 43.1263 miles south

C = c0 + c1YD T = t0 + t1Y YD = Y – T
G and I are both constant. Assume that t1 is between 0 and 1.
Solve for taxes in equilibrium.
Suppose that the government starts with a balanced budget and that there is a drop in c0.
What happens to Y? What happens to taxes?
Suppose that the government cuts spending in order to keep the budget balanced. What will be the effect on Y? Does the cut in spending required to balance the budget counteract or reinforce the effect of the drop in c0 on output? (Don’t do the algebra. Use your intuition and give the answer in words.)

Answers

To solve for taxes in equilibrium, we can start by substituting the given equations into the equation for YD:

YD = Y - T

Since C and T are constant, we can write:

YD = (c0 + c1YD) - (t0 + t1Y)

Now, we can rearrange the equation to isolate YD:

YD = c0 + c1YD - t0 - t1Y

Simplifying further:

YD - c1YD = c0 - t0 - t1Y

Factoring out YD:

YD(1 - c1) = c0 - t0 - t1Y

Dividing both sides by (1 - c1):

YD = (c0 - t0 - t1Y) / (1 - c1)

Now, let's analyze the effects of a drop in c0. If c0 decreases, it implies that consumption decreases. As a result, YD will decrease, leading to a decrease in Y. Taxes will also decrease because they are determined by YD.

If the government cuts spending to balance the budget, it will lead to a decrease in G. This decrease in spending will reduce Y and further decrease YD. However, the impact on Y will depend on the magnitude of the cut in spending.

If the cut in spending is significant, it can counteract the decrease in output caused by the drop in c0. On the other hand, if the cut in spending is small, it may reinforce the effect of the drop in c0 on output. The overall effect on Y will depend on the relative magnitudes of the changes in c0 and G.

A drop in c0 will decrease both Y and taxes in equilibrium. If the government cuts spending to balance the budget, the effect on Y will depend on the magnitude of the cut in spending relative to the decrease in c0.

To know more about equilibrium , visit ;

https://brainly.in/question/7169549

#SPJ11

The cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

In equilibrium, taxes can be solved using the given equations:

C = c₀ + c₁YD

T = t₀+ t₁Y

YD = Y – T

To find taxes in equilibrium, we need to substitute the value of YD into the equation for taxes:

T = t₀ + t₁YD

Now, let's analyze the impact of a drop in c₀ on output (Y) and taxes (T).

When c₀ decreases, it means that the intercept of the consumption function (C) decreases.

This results in a decrease in consumption at every level of income. As a result, the aggregate demand decreases, leading to a decrease in output (Y).

The decrease in output (Y) leads to a decrease in income and, consequently, a decrease in disposable income (YD).

Since taxes (T) depend on disposable income, a decrease in YD will lead to a decrease in taxes (T).

Next, let's consider the effect of a government spending cut to balance the budget.

When the government cuts spending to balance the budget, it reduces its expenditure (G) without changing its tax revenue (T).

This reduction in government spending decreases aggregate demand, which in turn reduces output (Y).

However, since the government is keeping the budget balanced, the decrease in government spending is offset by the decrease in taxes (T) that occurs as a result of the decrease in output (Y).

Therefore, the cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

Learn more about tax revenue click;

https://brainly.com/question/33488480

#SPJ4

Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.

Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.

Answers

Answer: y = (28/4)x + 4

Step-by-step explanation:

We'll be using 20, 144 (1) and 24, 172 (2) for this

slope = y2 - y1 / x2 - x1

slope = 172 - 144 / 24 - 20

slope = 28/4

y = mx + b

y = (28/4)x + b

We can then reduce 20, 144 by 4, 28

20, 144

16, 116

12, 88

8, 60

4, 32

0, 4

The y-intercept is when x = 0, so its 4.

Plug that into y = mx + b

y = (28/4)x + 4

(-2x)² - (- 3x)²

simplify​

Answers

Answer:

\(\boxed{5x^2}\)

Step-by-step explanation:

\((-2x)^2-(-3x)^2\)

Based in the order of operations (PEMDAS), we solve:

First, Parentheses or Brackets (Perform operations inside parentheses)next, Exponentsthen, Multiplication and divisionfinally, Addition and substraction

\(4x^2-9x^2 =5x^2\)

\(\text{-B$\mathfrak{randon}$VN}\)

Answer: \(-5x^{4}\)

Step-by-step explanation: add and boom

a car is to be placed on a metal incline for display. if only friction is to be used to keep the car at rest on the incline, what is the maximum angle theta of the incline if, for the car on the incline, the coefficient of static friction is 0.8 and the coefficient of kinetic friction is 0.6?

Answers

The maximum angle of the incline for the car to be at rest using only friction is 38.7° if, for the car on the incline, the coefficient of static friction is 0.8 and the coefficient of kinetic friction is 0.6.

If the car is at rest on the incline, the force of gravity acting on the car down the incline is balanced by the force of static friction acting up the incline. The maximum angle \($\theta$\) of the incline is the angle at which the force of static friction is at its maximum, which is given by the product of the coefficient of static friction and the normal force.

Let's assume that the mass of the car is m and the incline makes an angle of \($\theta$\) with the horizontal. Then, the force of gravity acting on the car down the incline is given by \($mg\sin(\theta)$\), where g is the acceleration due to gravity. The normal force acting on the car perpendicular to the incline is given by \($mg\cos(\theta)$\).

For the car to be at rest on the incline, the force of static friction acting up the incline must be equal in magnitude to the force of gravity down the incline. Therefore, we have:

\($$\mu_s mg\cos(\theta) = mg\sin(\theta)$$\)

here \($\mu_s$\) is the coefficient of static friction. Simplifying this equation,

we get:

\($$\tan(\theta) \leq \mu_s$$\)

Therefore, the maximum angle \($\theta$\) of the incline is:

\($$\theta \leq \tan^{-1}(\mu_s)$$\)

Substituting the value of \($\mu_s = 0.8$\), we get:

\($$\theta \leq \tan^{-1}(0.8) \approx 38.7^{\circ}$$\)

Therefore, the maximum angle of the incline for the car to be at rest using only friction is approximately 38.7°.

To read more about static friction:

https://brainly.com/question/13000653

#SPJ4

What is a characteristic of a rational number? A) it will always repeat B) it will always terminate C) it can be written in a fraction form D) it must be a while number

Answers

It is B because it is and no questions asked

Answer:

I think its a bc I took ze test and its right

Step-by-step explanation:

Sorry if its wrong

A fifth grader earned $94.00 gardening this month for a neighbor. If she worked 8 hours this moth, then how much did she earn per hour?

ill give ten points

Answers

Answer: The 5th grader earned $11.75 per hour. To solve, divide 94 by 8 to get 11.75.

Quadrilateral ABCD is a rectangle. BE=3x−7 and AC=8x−20. What is BE?

Answers

The length of the segment BE is 2 units.

What is the rectangular shape?

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

Quadrilateral ABCD is a rectangle.

BE=3x−7 and AC=8x−20.

E is the intersection point of the diagonals.

So,

AC/2 = BE

(8x−20)/2 = 3x−7

4x - 10 = 3x - 7

x = 3

So, BE = 2

Therefore, BE = 2 units.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ1

Can someone figure out how to do this I don't know how.

Can someone figure out how to do this I don't know how.

Answers

Answer:

Step-by-step explanation:

g(x) = -3x - 3

To complete the table, you have to substitute the x values into the equation.

g(-5) = -3(-5) - 3

g(-5) = 15 - 3

g(-5) = 12

g(-3) = -3(-3) - 3

g(-3) = 9 - 3

g(-3) = 6

g(0) = -3(0) - 3

g(0) = 0 - 3

g(0) = -3

g(1) = -3(1) - 3

g(1) = -3 - 3

g(1) = -6

g(3) = -3(3) - 3

g(3) = -9 - 3

g(3) = -12

Find the directional derivative of f at the given point in the direction indicated by the angle θ. f(x, y) = xy^3 − x^2, (1, 4), θ = π/3

Answers

The directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector u = ⟨cosθ, sinθ⟩ is given by the dot product of the gradient of f at (a, b) and the unit vector u.

That is, D_uf(a, b) = ∇f(a, b) · u

Here, f(x, y) = xy^3 - x^2, so ∇f(x, y)

= ⟨y^3 - 2x, 3xy^2⟩.

At the point (1, 4), we have ∇f(1, 4) = ⟨60, 192⟩.

The direction indicated by the angle theta = π/3 is u = ⟨cos(π/3), sin(π/3)⟩ = ⟨1/2, √3/2⟩.

Therefore, the directional derivative of f at (1, 4) in the direction of u is:

D_uf(1, 4) = ∇f(1, 4) · u

= ⟨60, 192⟩ · ⟨1/2, √3/2⟩

= 60/2 + 192(√3/2)

= 30 + 96√3

So the directional derivative of f at (1, 4) in the direction of θ = π/3 is 30 + 96√3.

Learn more about derivative, here:

brainly.com/question/23819325

#SPJ11

I need the correct answer



(Give the correct answer and an explanation on how you got it for brainlyist)

I need the correct answer (Give the correct answer and an explanation on how you got it for brainlyist)

Answers

Answer:

1) 27/2 2) 8pi 3) 48 4) 16+2pi

Step-by-step explanation:

1) The length of the triangle is 9 (found by finding the distance between (-5,-3) and (4,-3)) and the height is 3 (found by finding the distance between (1,0) and (1,-3)). The area of a triangle is 1/2 (length times height) which in this case is 27/2.

2) The shape is a semicircle, so the area is 1/2 pi*r^2.

1/2 * pi * r^2=8pi

3) B*H=8*6=48

4) The figure is a semicircle and a square.

The area of the semicircle is 1/2 * pi * r^2=2pi

The area of the square is b*h=4*4=16

The area is 16+2pi.

Find the 7th term of the arithmetic sequence − 3 � + 5 −3x+5, 2 � + 3 2x+3, 7 � + 1 ,. . . 7x+1

Answers

The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

What is the 7th term of the arithmetic sequence?

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

More information about the arithmetic sequence here: https://brainly.com/question/27827155

#SPJ11

How many solutions does the nonlinear system of equations graphed below
have?
O A. Two
• B. Zero
• C. Four
O D. One

Answers

An equation is formed of two equal expressions. The correct option is A.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The graph for the nonlinear system of equations is given below. The solution of this system exists at points where the graph of the equations intersect each other. Therefore, the solution of the non-linear system of equations is two.

Hence, the correct option is A.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

How many solutions does the nonlinear system of equations graphed belowhave?O A. Two B. Zero C. FourO

5x – 4 = x - 16
solve the equation

Answers

Answer:

x = - 3

Step-by-step explanation:

Given

5x - 4 = x - 16 ( subtract x from both sides )

4x - 4 = - 16 ( add 4 to both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

Answer:

\( \huge{ \fbox{ \sf{x = -3}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: 5x - 4 = x - 16}}\)

\( \text{Step \: 1 \: : \sf{ \: Move \: x \: to \: left \: hand \: side \: and \: change \: its \: sign.}}\)

\( \hookrightarrow{ \sf{5x - x - 4 = - 16}}\)

\( \text{Step \: 2 \: : \sf{ \: Move \: 4 \: to \: right \: hand \: side \: and \: change \: its \: sign.}}\)

\( \hookrightarrow{ \sf{ 5x - x = - 16 + 4}}\)

\( \text{Step \: 3 \: : \sf{Collect \: like \: terms}}\)

\( \hookrightarrow{ \sf{ 4x = - 16 + 4}}\)

\( \text{Step \: 4 \: : \sf{Calculate}}\)

\( \text{ \underline{Remember! : }} \sf{ \: The \: \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}\)

\( \hookrightarrow{ \sf{ 4x = - 12}}\)

\( \text{Step \: 4 \: : Divide \: both \: sides \: by \: - 6}\)

\( \hookrightarrow{ \sf{ \frac{ 4x}{ 4} = \frac{ - 12}{ 4}}} \)

\( \text{Step \: 5 \: : Calculate}\)

\( \hookrightarrow{ \sf{x = -3}}\)

The value of x is -3 .

Hope I helped!

Best regards! :D

~\( \sf{TheAnimeGirl}\)

In order to buy their father's gift, John has put in $10 and Patricia has put in 3 times as much money as John. How much money has Patricia put in?

Answers

Answer:

30$

Step-by-step explanation:

10X3 is 30 so that is how much money she put in

$30 dollars, because i know im right

Here is a number line.
A
3
4
Which number is at A?
Circle your answer.
[1 mark]

Answers

2 is your answer. If you were to follow the pattern, but going up or down one number, the number before 3 would be 2.

evaluate tan 60/ cos 45

Answers

Answer:

0.60922709536

Step-by-step explanation:

not sure if this is what you are looking for????

√6

im putting yall on folks

because of the high heat and low humidity in the summer in death valley, california, a hiker requires about one quart of water for every two miles traveled on foot. calculate the approximate number of liters of water required for the hiker to walk 25. kilometers in death valley and stay healthy.

Answers

Approximately 8.195 liters of water would be required for the hiker to walk 25 kilometers in Death Valley and maintain good hydration.

To calculate the approximate number of liters of water required for a hiker to walk 25 kilometers in Death Valley and stay healthy, we need to convert the distance from kilometers to miles and then use the given ratio of one quart of water for every two miles traveled on foot.

To convert kilometers to miles, we can use the conversion factor of 1 kilometer = 0.621371 miles.

Thus, 25 kilometers is approximately 15.534 miles (25 × 0.621371).

According to the given ratio, the hiker requires one quart of water for every two miles traveled on foot.

Since one quart is equivalent to 0.946353 liters, we can calculate the approximate number of liters of water required for the hiker as follows:

Number of liters = (Number of miles traveled / 2) × (1 quart / 0.946353 liters)

For the hiker walking 15.534 miles, the approximate number of liters of water required can be calculated as:

Number of liters = (15.534 / 2) × (1 quart / 0.946353 liters) = 8.195 liters

Therefore, approximately 8.195 liters of water would be required for the hiker to walk 25 kilometers in Death Valley and maintain good hydration.

It is important to note that this is an approximation and actual water requirements may vary depending on individual factors and conditions.

Learn more about ratio here:

https://brainly.com/question/12024093

#SPJ11

What is the surface area of the rectangular prism?
6 in.Bin.9 in
A.348 in 2
B.432 in.2
C.184 in.2
D.174 in 2

What is the surface area of the rectangular prism?6 in.Bin.9 inA.348 in 2B.432 in.2C.184 in.2D.174 in

Answers

Answer:

348 in^2

Step-by-step explanation:

8 x 9 = 72

6 x 8 = 48

9 x 6 = 54

72 + 72 + 48 + 48 + 54 + 54

348

if f' * (x) = 2x - 1 and g(x) - x + 3 prove that f g(x) is a linear function​

Answers

The composite function fg(x) is a linear function​ by the proof shown below

Proving that the function fg(x) is a linear function​

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x - 1

g(x) = -x + 3

The above functions are linear functions

This means that the function fg(x) will also be a linear function​

To prove this, we have

f(g(x)) = 2(g(x)) - 1

substitute the known values in the above equation, so, we have the following representation

f(g(x)) = 2(-x + 3) - 1

So, we have

f(g(x)) = -2x - 7

Hence, the function is a linear function

Read more about composite functions at

https://brainly.com/question/10687170

#SPJ1

Which statements should be included when teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home

Answers

When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.

When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:

1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.

2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.

3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.

4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.

5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.

6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.

7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.

By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.

Learn more about symptoms here:

https://brainly.com/question/29628193

#SPJ11


Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.
Q=
R=
S=
T=

Write the coordinates of the vertices after a rotation 90 counterclockwise around the origin.Q= R=S=T=

Answers

Check the picture below.

Write the coordinates of the vertices after a rotation 90 counterclockwise around the origin.Q= R=S=T=
Other Questions
Select the correct answer.Do you need a question for the section, The Constitution?A. I don't need a question.B. I need a question. Why does everyone have a unique laugh? Why should a sentence that ends with a preposition be revised Mcq? Which equation can be used to find A, they area of the parallelogram shown? A = 5x9 A = 4x9 A = 1/2 x 5 x 9 A + 1/2 x 4 x 9 Do you know your periodic table ABC? What is the only letter of alphabet that does not appear in the periodic table? a)The mathematical equation relating the independent variable to the expected value of the dependent variable that is,E(y) = 0 + 1x,is known as theregression model.regression equation.estimated regression equationcorrelation model. Fill in the blank: if a data analyst is measuring qualities and characteristics, they are considering _____ data. a normal probability plot is used to The landform located at number 5 on the map above is a(n)O estuaryO isthmusO peninsulaO island Short-Term goals can be set to help achieve specific long-term goals.TrueFalse Name 5 things that shape a watershed which term in the arithmetic sequence 11, 4,-3 . . . is -129? Identify the relationship complementary, or vertical and find the value of x.Wouldnt it be complementary? Also, I know how to find x, Im just wondering whats the relationship. g Given a state of stress and , where is a positive constant with units of , what is the maximum allowable value of to avoid failure according to the Tresca/von Mises criterion if the material has yield strength . Why do Sandra's parents want her to be with a white boy so much and not Petrus? What is the compound N203 called? change the following sentence into a question start with the word in the bracket. in grade 11 kristof decided to focus all his attention on contemporary ballet (when) Condensation is when a gas to become a liquid define fish out of water in your own words Different between the Nature of these sound waves and the water waves