find the k-value so that the point is on the line

kx+3y=7; (1,-k)

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

7.2

Step-by-step explanation:

Mean is when you add all the numbers together and divide them by the number of values there are in total.

There are 10 numbers, so find the sum of all the numbers and divide by 10.

\(\frac{12+8+14+5+1+3+0+8+10+11}{10}\) = 72/10 = 7.2

Answer:

14.4

Step-by-step explanation:

=24 * 60/100
=14.4

Answer:

14.4

Step-by-step explanation:

\(\frac{24}{10} = 10\)% of 24

6\(\frac{24}{10} = 60\)% of 24

Answer:

b-5

Step-by-step explanation:

The arc length of the curve on the given interval is 31.241.

Parametric Equations

Interval: −1 ≤ t ≤ 3

dx/dt = d/dx(6t + 5)

dx/dt = 6

And, dy/dt = d/dt(7 − 5t )

dy/dt = -5

The arc length of curve is estimated as;

L = ∫√(dx/dt)² + (dy/dt)²).dt

L = ∫√(36 + 25t)     Interval: [−1 ≤ t ≤ 3]

L = √61  x  (3 + 1)

L = 31.241

Thus, the arc length of the curve on the given interval is 31.241.

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The unit rate of change (slope) from 1996 to 2016 is -.025

What is Ratio?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all. Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, m = y/x, where m is the slope, can be used to express the change in the y coordinate with regard to the change in the x coordinate.

Take notice that tan = y/x.

The given problem is about the decrease of two variables, which represent years and represent video rental.

The ratio here refers to the slope of the linear decreasing behavior, where pairs are (1996,9) and (2016, 4).

The formula for the slope is

\(&m=\frac{y_2-y_1}{x_2-x_1}\)

So, In the given question, we have:

10 video rental locations in 1996;

So,  Assuming a constant decrease in the number of stores:

The slope or the unit rate of change from 1996 to 2016 is:

\(\begin{aligned}&m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-9}{2016-1996}=\frac{-5}{20}=-\frac{1}{4} \\&m=-0.25\end{aligned}\)

So, The Value of the Slope is -0.25

This means that the linear relation decreases, with a constant ratio of 0.25, that is, video rental decreases one per 4-years periods.

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Answer:

Its A

Step-by-step explanation:

ez

Answer:

A

Step-by-step explanation:

y= -3x + 7

Answer:

x=ln(4)

Step-by-step explanation:

e^2x +3e^x- 28=0  

u^2 + 3u - 28 = 0   ==> substitute u for e^x

u^2 - 4u + 7u - 28 = 0

u(u-4) + 7(u-4) = 0

(u-4)(u+7)=0    ==> simplify

u-4=0                     u+7=0

u=4                             u=-7

e^x=4                     e^x=-7       ==> substitute e^x for u

ln(e^x)=ln(4)           ln(e^x)=-7    ==> take natural log on each side

x=ln(4)                   x=ln(-7), which is not possible since natural log>0

x=ln(4)

Answer:

\({e}^{x} = y \\ {y}^{2} + 3y - 28 = 0 \\ (y - 4)(y + 7) = 0 \\ y = 4 \\ y = - 7 \\ {e}^{x} = 4 \\ x = ln(4) \\ x = ln( - 7)\)

There are no two Real numbers that add up to -2 and multiply to 10.

The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:

Equation 1: x + y = -2

Equation 2: x * y = 10

To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:

1. Solve Equation 1 for x:

  x = -2 - y

2. Substitute the value of x in Equation 2:

  (-2 - y) * y = 10

3. Simplify the equation:

  -2y - y^2 = 10

4. Rearrange the equation to standard form:

  y^2 + 2y + 10 = 0

5. Since the equation is a quadratic equation, we can apply the quadratic formula:

  y = (-b ± √(b^2 - 4ac)) / (2a)

  In this case, a = 1, b = 2, and c = 10.

6. Calculate the discriminant: b^2 - 4ac:

  2^2 - 4(1)(10) = 4 - 40 = -36

7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.

In conclusion, there are no two real numbers that add up to -2 and multiply to 10.

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Step-by-step explanation:

3h+11/4h+16=19/26

78h+286=76h+304

12h=18

h=3/2

Answer:

20°+X=90° (right angle )

X=90°-20°

X=70°

Answer:

y>3x+2

Step-by-step explanation:

1. use y2-y1/x2-x1 to find the slope (3)

2. since the y-intercept is already give as (0,2) we have the equation y=3x+2

3. finally since the left side is shaded, that would mean everything greater than that equation can equal y therefore y>3x+2

Answer:

Beans

Step-by-step explanation:

Answer:

  A.  1

Step-by-step explanation:

The slope is the coefficient of x: 1.

Answer:

\(\frac{-4}{5}\)

Step-by-step explanation:

\(\frac{-4}{15}* 3 = -4/5\)

Answer:

x = 2 , y = 4.

(2,4)

Step-by-step explanation:

Simultaneous equation:

2x - y = 10    E1

y = \(-\frac{1}{2}x\) + 5    E2

Substitute equation 2 into equation 1 for the y value.

2x -  \(-\frac{1}{2}x\) + 5  = 10

2x -  \(-\frac{1}{2}x\) = 5

2x +  \(\frac{1}{2}x\) = 5

\(\frac{5}{2} x\) = 5

x = 2

Substitute the x value  into  equation 2.

y = \(-\frac{1}{2}2\) + 5

y = -1 + 5

y = 4

Answer:Expanded Notation Form:

 80,000  

+ 6,000  

+ 400  

+ 20  

+ 5  

Step-by-step explanation:

Expanded Exponential Form:

8 × 104

+ 6 × 103

+ 4 × 102

+ 2 × 101

+ 5 × 100

Answer:

  (-√8, -√6] ∪ [-√2, 0) ∪ (0, √2] ∪ [√6, √8)

Step-by-step explanation:

The inequality resolves into 4 inequalities. There are 4 intervals in the solution.

Starting at the left, for the absolute value argument less than 0:

  2 ≤ -(x^2 -4) . . . . . . . for x^2 -4 ≤ 0

  2 ≤ -x^2 +4

  -2 ≤ -x^2

  2 ≥ x^2 . . . . . . . . . . consistent with the above 4 ≥ x^2

  -√2 ≤ x ≤ √2 . . . . . square root; may be limited by other constraints

For the absolute value argument greater than 0:

  2 ≤ x^2 -4 . . . . . . . for x^2 -4 ≥ 0

  6 ≤ x^2 . . . . . . . . . .consistent with x^2 ≥ 4

  -√6 ≥ x ∪ x ≤ √6 . . . . take the square root

__

The inequality on the right can be written as the compound inequality ...

  -4 < x^2 -4 < 4

  0 < x^2 < 8 . . . . . add 4

  0 < |x| < √8 . . . . take the square root

This resolves to ...

  -√8 < x < 0 ∪ 0 < x < √8

__

So, the solution set is the set of values of x that satisfy these restrictions on x:

  -√2 ≤ x ≤ √2

  x ≤ -√6 ∪ x ≤ √6

  -√8 < x < 0 ∪ 0 < x < √8

That is a collection of 4 intervals:

  (-√8, -√6] ∪ [-√2, 0) ∪ (0, √2] ∪ [√6, √8)

_____

You may be expected to write √8 as 2√2.

__

These intervals are the portions of the red curve that lie between the two horizontal lines. The points on the upper (dashed) line are not part of the solution set. The points on the lower (solid) line are part of the solution set.

It would take approximately 11 years for this population to reach 7300.

Based on the information provided, the future size of the population can be modelled by using an exponential function:

F = Pe^rt

Substituting the given parameters into the formula, we have;

7300 = 5000e^{0.035 × t}

7300/5000 = e^{0.035t}

1.46 = e^{0.035t}

Taking the ln of both sides, we have:

ln(1.46) = ln(e^{0.035t})

0.378 = 0.035t

t = 0.378/0.035

Time, t = 10.8 ≈ 11 years.

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Answer:

7/9

Step-by-step explanation:

There are a total of 18 coins in Sarah's change purse, and 4 of them are quarters. Therefore, the probability of her pulling out a coin that is not a quarter is equal to (18-4)/18, or 14/18. Simplifying this fraction, we get 7/9. Therefore, the probability of Sarah pulling out a coin that is not a quarter is 7/9.

Answer:A=1/2

Step-by-step explanation:

Answer:

2 1/3

Step-by-step explanation:

add then multiplying to the nearest one.

The amount of tax that is added to the cost of the computer is 159.72

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

Computer cost = 968

Tax percentage = 16.5%

Using the above as a guide, we have the following:

Tax amount = Computer cost * Tax percentage

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

Tax amount = 968 * 16.5%

Evaluate

Tax amount = 159.72

Hence, the amount of tax that is added to the cost of the computer is 159.72

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Answer: x=68.5

Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.

The equation is

So x= -4 is the correct answer.

The dosage needed for this in an  order for morphine sulfate 1/4 gr IM stat is 1.5 ml.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

One grain =  60mg, hence:

1/4 gr = 1/4 gr * 60 mg per gr = 15 mg

Hence, for 10 mg per ml:

Dosage = 15 mg /  10 mg per ml = 1.5 ml

The dosage needed for this in an  order for morphine sulfate 1/4 gr IM stat is 1.5 ml.

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Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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