If the parent function is y = x², explain the transformation(s) that occur to get from
the parent function to y = 3x? – 2

Answer:

-8x-28 is after the distributive prop simplified

Step-by-step explanation:

4(-2x-7)

(4×-2x)-(4×-7)= -8x-28

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

Answer:

9/10

Step-by-step explanation:

9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333

Answer: 5/6

Step-by-step explanation:

because with fractions if the bottom is less than it is more than a number bigger tha it

Answer:

b=40/63

Step-by-step explanation:

b= 7. 3b+-4

multiply both sides by 10

b*10=7.3b*10-4*10

refine

b*10=7.3b-40

subtract 7.3b from both sides

b*10-7.3b=7.3b-40-7.3b

simplify

-63b=-40

divide both sides by -63

-63b/-63=-40/-63

simplify

b=40/63

sorry for the lengthy explanation

hope this helps :) have a nice day !! (please let me know if this was wrong)

Answer:

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

The coefficient is:

Let's verify if the given numbers fit into the same relationship:

We confirm all same and it means k = 2/3

Required equation is:

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

Answer:

Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Step-by-step explanation:

Given:

Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]

To find: Dimensions of a cylinder

Solution:

Let [tex]r,h[/tex] denote height of a cylinder.

Volume of a cylinder = [tex]\pi r^2h[/tex]

Therefore,

[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]

One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].

Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]

So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

Answer:

the answer is f(n)=14.5−1.4n

Step-by-step explanation:

Hope this helps

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d

The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....

Here, a=14.5 and d=14.5-13.1=1.4

Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get

f(n)=14.5+1.4(n-1)

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

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Answer:

slope = [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]

Thus, the slope is [tex]-\frac{1}{3}[/tex].

Answer:

Step-by-step explanation:

-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y

= -8x³⁺⁵y² + 32x³y²⁺¹

= -8x⁸y² + 32x³y³

Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

Answer:

(1,3)

Step-by-step explanation:

The image of (1, -3) is (1, 3).

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Point = (1. -3)

Reflected over the x-axis.

So,

(1, -3) = (1, -(-3)) = (1, 3)

Thus,

(1, 3) is the reflected image.

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Answer:

Step-by-step explanation:

See the steps

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

Answer:

Ok its A= x +4 because that its lower than the other one so since its lower it will be better

Answer:0.94

Step-by-step explanation:

V=pir^2h=pi * 1^2 * 0.3 = 0.94248

Answer:

hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120

Step-by-step explanation:

Answer:

0.16

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

[tex]-\frac{x}{2} + \frac{3}{2} < \frac{5}{2} \\-\frac{x}{2} < \frac{2}{2} \\-\frac{x}{2} < 1\\-x < 2\\-\frac{x}{-1} < \frac{2}{-1} \\x > -2[/tex]

See picture of graphed number line below:

Answer:

what do you need help on?

Step-by-step explanation:

Answer:

(3). 500; (4) 60

Step-by-step explanation:

9514 1404 393

Answer:

  24.5 kJ

Step-by-step explanation:

Kinetic energy is given by the formula ...

  KE = 1/2mv² . . . . . where m = mass

The gazelle's kinetic energy is ...

  KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters

  = 24,500 J . . . . . . 1 J = 1 kg·m²/s²

  = 24.5 kJ . . . . . . . 1000 J = 1 kJ

Answer

The corresponding angles of the triangles are congruent

The image is a reduction of the pre-image

Neither the dilation nor the rotation change the shape of the triangle

Explanation:

For shapes to be similar:

1- there should be a ratio between the sides

2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

Options 2, 4 and 5 are the correct answer.

Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides.

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles.

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position.

Therefore, options 2, 4 and 5 are the correct answer.

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Answer: the 3rd one is the only true one because there are 7 boys and 2 girls

Answer:

(2,7)

Step-by-step explanation:

Answer:

the answer is 24.1 MM

Step-by-step explanation:

Answer:

approx. 24.1 mm squared (when rounded to the nearest 10th)

Step-by-step explanation:

Surface area of cylinder = 2πr(h+r)

plug in what we know

2π*1.2(2+1.2)

solve

approx. 24.1 mm squared

Answer:

Sure thing. Which question do you need help with? ill do the best i can.