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3 years ago

What is the vertex of the graph of g(x)=|x-9|+3

Mathematics

1 answer:

mart [117]3 years ago

7 0

Look at h(x) = |x-9|. The vertex of this absolute value function graph is at (9,0).

Sometimes it helps to work on a simpler problem first, which is why I've introduced h(x) = |x-9|.

The vertex of g(x)=|x-9|+3 is 0+3, or 3; we translate the entire graph of g(x)=|x-9| upward by 3 units. Thus, the vertex of g(x) is (9,3).

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what is remainder theorem ? explain how to use remainder thereom and factor theorem for linear polynomial .

elena55 [62]

Basically the Remainder theorem states that the remainder of dividing a polynomial P(x) by (x - a) is given by P(a).

So for example if we divide x^ 2 - 2x + 7 by x - 2 the remainder will be
2^2 - 2(2) + 7 = 7..

If the remainder is 0 then the divisor will be a factor of the polynomial. This is the Factor Theorem and can be used to test if a given polynomial has a factor x-a.

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3 years ago

What is the transformation of C(9, 3) when dilated with a scale factor of 1/3,

Harman [31]

The transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).

<h3>What is Dilation transformation?</h3>

A dilation transformation is a transformation that changes the size of the original figure but the shape remains unchanged.

If any figure is dilated by a scale factor k with the center of dilation as the origin.

Then the change of transformation in each of the vertices of the figure is given:

(x,y) → (kx, ky)

It is given a point C which is located at C(9,3).

Hence, here k=3

We get:

C(9,3) → C'(9×3,3×3)

C(9,3) → C'(27,9) = C'(3,1)

Hence, the transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).

Learn more about dilation;

brainly.com/question/6639345

#SPJ1

3 0

1 year ago

susan can run 2 city blocks per minute. she wants to run 60 blocks. how long will it take her to finish if she jas already run 1

anygoal [31]

To solve this, you first subtract 60 by 18 to get 42

You then divide this by 2 to get 21

So, it'll take 21 minutes

6 0

3 years ago

Find the value of b that will make the equation sin 62°= cos B true when 0°

KiRa [710]

Hello from MrBillDoesMath!

Answer:

b = 28 degrees

Discussion:

In general,

sin (90 - @) = cos(@)

Set 90 [email protected] = 62 => @ = 28 so

sin (90-28) = sin(62) = cos(28) => b = 28

Thank you,

MrB

4 0

3 years ago

Vanessa bought a total of 5⁄3 pounds of green and red peppers. She bought 2⁄3 of a pound of green peppers. How many pounds of re

Temka [501]

Answer:

1 pound or 3/3

Step-by-step explanation:

Subtract the green peppers from the total (5/3 - 2/3 = 3/3)

To convert to a whole number, divide 3 by 3, which equals 1, so 1 whole pound of red peppers.

8 0

3 years ago

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