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3 years ago

What kind of transformation converts the graph of f(x) = 5x - 2 into the graph of g(x) = x -2

Mathematics

1 answer:

malfutka [58]3 years ago

5 0

Answer:

Vertical compression

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

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Evaluate 10 + 4(3 + 2) + 5 + (12 ÷ 6).

wolverine [178]

10 + 4*3 + 4*2 + 5 + 2 =

10 + 12 + 8 +7 = 

22 + 8 +7 = 

30 + 7 =37

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3 years ago

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The following balls are placed in an urn: 6 red, 6 yellow, 6 blue, and 2 green. One ball is randomly drawn from the urn. What is

Aliun [14]

The probability is 8 out of 20 or 40 percent

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3 years ago

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3 years ago

The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl

ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since $f(x) = 5x^{2} -70x+258$ .

Now, consider the equation $5x^{2} -70x+258= 0$ .

Dividing the above equation by 5, we get

$x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0$

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

$x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0$

Now, we have to determine the minimum cost to produce the product.

Since $f(x) = 5x^{2} -70x+258$ .

$f'(x) = 10x-70$

Now, let f'(x)=0

$10x-70=0\\10x=70$

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

5 0

2 years ago

A circular merry-go-round has a radius of 5 feet. Find the distance of a spin of one full rotation. Use 3.14 for pi and round th

Sedbober [7]

Option C

The distance of a spin of one full rotation is 31.4 feet

Solution:

Given that,

A circular merry-go-round has a radius of 5 feet

Radius = 5 feet

We have to find the distance of spin for one full rotation

Distance covered in 1 full of rotation is equal to circumference of circle

The circumference of circle is given as:

$C = 2 \pi r$

Where "r" is the radius

$C = 2 \times 3.14 \times 5\\\\C = 6.28 \times 5\\\\C = 31.4$

Thus the distance of a spin of one full rotation is 31.4 feet

6 0

3 years ago