Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?

g(x)=m(x+3)+b+4

s(x)=4/3x+b

t(x)=m(x−3)+b+4

h(x)=4/3mx+b

Function transformation involves changing the position of a function

The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

The function is given as:

[tex]\mathbf{y = mx +b}[/tex]

The ratio of the slopes of both segments is given as:

[tex]\mathbf{Ratio = \frac 43}[/tex]

Let the slope of the new segment be m2.

The slope of [tex]\mathbf{y = mx +b}[/tex] is m.

So, we have:

[tex]\mathbf{m_2 : m = \frac 43}[/tex]

Express as fractions

[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]

Multiply both sides by m

[tex]\mathbf{m_2 = \frac 43m}[/tex]

From the list of given options,

[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]

Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

Read more about function transformations at:

https://brainly.com/question/13810353

You multiply the dimensions of Triangle A by 4 to create Triangle B. Select the conclusion(s) that you can make about the similar triangles.


1.The ratio of the perimeters (Triangle A to Triangle B) is 14.

2.The ratio of the perimeters (Triangle B to Triangle A) is 1 to 4.

3.The ratio of the areas (Triangle A to Triangle B) is 1 to 8.

4.The ratio of the areas (Triangle B to Triangle A) is 16 : 1.

5.There is not enough information to make any of the conclusions above.

3/5 + 1/2 in simplest form

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please answer question 4
It shows the one I got wrong so please don’t choose that one

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3/4

(x−12)=12

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After the semester is over, you discover that the math department has changed textbooks (again) so the bookstore won't buy back your nearly-new book. You and your friend Anna decide to get creative. You go to the rook of a five-story building and look over the edge to the reflecting pool 60 feet below. You drop your book over the edge at the same instant that Anna chucks her book straight down at 30 feet per second. By about how many seconds does her book beat yours into the water (approximately)? Your function is s(t)=−16t2+60 Anna's function is s(t)=−16t2−30t+60

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o positive
O negative
O zero
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Thanks to kasey1476443 for giving me the answer. She is a HERO!!!
I have one question how do I work out 5 divided by 102.05? You can add a picture when you comment.

4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°​

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jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]
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is anyone on that can help with this question I'm an idiot and can figure it out please help

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