What is the y-intercept of y = 3 - 4x?

A: (0,3)
B: (3,0)
C: (-4,0)
D: (0,-4)

Answer:

Step-by-step explanation:

\(\sqrt{1}\) -2 / 6 = (1-2)/6= -1/6= .2 (rounded to tenth)

Answer:

1500

Step-by-step explanation:

STEP 1 900 = 60% × Y

STEP 2 900 =

60

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at:

STEP 3 Y = 900 ×

100

60

STEP 4 Y = 900 × 100 ÷ 60

STEP 5 Y = 1500

Area = B x H/2

B= 4.5

AB^2 = 4.5^2 + 7^2 - 4.5•7•cos 123 ( this is Cosin theorem)

Now find height

External angle = 180° - 123°= 57°

Then

Sin 57° = H/7

H= 7• Sin 57°= 5.87

Then now find area BxH/2

Triangle area= 4.5 x 5.87/2= 13.207

Then answer is OPTION C) 13.2 square units

\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

Read more about Degree of Polynomials at: https://brainly.com/question/1600696

#SPJ1

Answer: 97.5% ( look at the image for the solution )

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:

⇒ 60 = 6x + 12

Subtract 12 from both sides

⇒ 48 = 6x

Divide by 6

⇒ x = 8

Therefore, the answer is 8.

The area of the actual trampoline is 160 square feet.

In mathematics, area is a measurement of the size of a two-dimensional (2D) region or shape, such as a square, rectangle, circle, triangle, or any other polygon.

The area is usually expressed in square units, such as square meters (m²), square inches (in²), square feet (ft²), square centimeters (cm²), etc. The area of a shape can be calculated using different formulas, depending on the shape and the information available.

With the given scale of 1 inch : 2 feet, we can calculate the dimensions of the actual trampoline and its area using the dimensions of the drawing.

Let's say the length and width of the trampoline on the drawing are l_d and w_d, respectively. Then, the actual length and width of the trampoline, denoted by l_a and w_a, are given by:

l_a = l_d * 2 feet/inch = 8 inches * 2 feet/inch = 16 feet

w_a = w_d * 2 feet/inch = 5 inches * 2 feet/inch = 10 feet

Therefore, the actual trampoline has a length of 16 feet and a width of 10 feet.

To find the area of the actual trampoline, we can use the formula for the area of a rectangle:

A = l_a * w_a = 16 feet * 10 feet = 160 square feet

Therefore, the area of the actual trampoline is 160 square feet.

To know more about area visit:

https://brainly.com/question/2607596

#SPJ1

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

focusing is your key to get this

Step-by-step explanation:

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

<95141404393>

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

Learn more about area of square on https://brainly.com/question/27683633

#SPJ1

Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer: -124/9 or -13.778

Step-explanation: You may not have any idea how to approach this problem but I can help. We are given some information about a number and asked to find out what number it is. Since we don't know what the number is, we can say that it is X (a variable).

If you double X and add 28 you get 4/9. Doubling X can be represented as 2X. If we add 28 to that, we get 2X+28. We are told we get 4/9 which means that 2X + 28 is equal to 4/9 or 2x + 28 = 4/9.

We have now built an algebraic equation for X. We can now simply solve for X.

2X + 28 = 4/9

2X + 252/9 = 4/9   Rewrite 28 as 252/9 so we have common denominators

2X = -248/9            Subtract 252/9 from both sides

X = -124/9               Divide by 2 on both sides and we get X

Whenever you are given a problem similar to this one, try to create an algebraic equation or expression that can model the problem. A variable can represent the number you are trying to find.

Hope this helps!

Answer:3000

Step-by-step explanation:

You need to find the LCM of 500 and 600

Answer:

The correct pairs are 16 and 30, 26 and 38, 22 and 34.

The value of the length of  hypotenuse when base length is  11cm and angle is 24°:  12.04 cm

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that,

The length of hypotenuse = x

The length of base =  11 cm

The angle = 24°

It is known that,

cosФ = base/hypotenuse

         = 11/x

cos24° = 11/x

x = 11/cos24°

  = 12.4

Therefore, the length of the hypotenuse is approximately 12.04cm.

To know more about trigonometry check:

https://brainly.com/question/29002217

#SPJ1

Answer: C

Step-by-step explanation:

120 plus 80 equals 200.

We have a random discrete variable X, that takes values 1, 2 and 3.

As the probabilities of all the sample space is equal to 1.

So then we can define x in function of y:

We can start by calculating the mean of X as:

We can write the variance of X as:

As the variance, σ², is equal to 0.29, then we can find the possible values for x as:

We can find the roots of this equation as:

The value of x = -0.5, as it is a probability, has to have a value of between 0 and 1, is not valid.

Then, the only valid value for x is x = 0.7.

We then can calculate y as:

Answer: x = 0.7 and y = 0.1

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

To learn more about equations click on,

https://brainly.com/question/29266004

#SPJ1

Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

  130 cars

Step-by-step explanation:

You want the value of x (the number of cars made) that minimizes the unit cost, given by C(x) = 0.4x² -104x +13586.

The minimum cost will be found at the vertex of this quadratic cost function. For quadratic ax²+bx+c, the vertex is found at x=-b/(2a).

The cost function has a=0.4 and b=-104, so the number of cars that must be made to minimize the unit cost is ...

  x = -b/(2a) = -(-104)/(2(0.4)) = 104/0.8

  x = 130

130 cars must be made to minimize the unit cost.

__

Additional comment

A graphing calculator can plot the cost function and show you the coordinates of the minimum cost. The attachment shows the minimum cost per car is $6826 when 130 cars are made.

Answer: m = -3/2

Step-by-step explanation: In algebra, we use the word slope

to describe how steep a line is and slope can be found using

the ratio rise/run between any two points that are on that line.

Let's start from the point (0, 0).

From this point, we go down 3 units and to the right 2 units.

So our rise is -3 and our run is 2.

So our slope or rise/run is -3/2.

The variable that's used to represent slope is m.

So we say that m = -3/2

Answer:

-3/2

Step-by-step explanation: Rise 3 from the first (lower) dot then run 2 to the higher dot. Its negative because it is going down from left to right.

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

144600

Step-by-step explanation:

In 2010, pop'n 144,000.

From 2010 to 2015, the population grew by 8%.

so by 2015 = 144000*1.08 = 155520

From 2015 to 2020, it fell by 7%.

so 155520 * (1-7%) = 155520 * 0.93 = 144634

round to the nearest 100 = 144600

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

For more such questions on equation of a line, click on:

https://brainly.com/question/18831322

#SPJ8

One of the two key assumptions for confidence intervals is that the researcher has used is simple random sampling

The confidence intervals is defined as the the probability that the population parameter will be between the set of values. We can also say that the mean of the estimate plus or minus variation in the estimate

The simple random sampling is defined as the choosing a sample randomly from the population, the probability of choosing any sample in the population will be same

Here, one of the two key assumptions for confidence intervals, so the researches used simple random sampling

Therefore, the method is simple is random sampling

Learn more about confidence interval here

brainly.com/question/24131141

#SPJ4

we make a drawing

where w is width

area of a rectangle is

where a is tha area, l the length and w the width

then replacing the area and values of length and width

we rewrite the expression equaling 0 to find w

factor by quadratic formula

where a is 1, b is 9 and c -360

we have two solutions to w

but we use the possitive number because is a measure and the measure are not negatives

the long of the room is

replacing w

tha

This should be the correct answer

Exact Form:

729/2

Decimal Form:

364.5

Mixed Number Form:

364  1/2