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Nastasia [14]
3 years ago
11

Perimeter 80 ft. Length is 4 times the width. What is the length and width

Mathematics
1 answer:
yarga [219]3 years ago
6 0
Dimensions:
33
×
7
feet
Area:
231
square feet
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How is the graph of y=log(x) transformed to produce the graph of y=log(2x)+3
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Answer:

  • horizontally compressed by a factor of 2 and translated upward by 3 units.

Step-by-step explanation:

A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.

Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.

The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.

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For what real values of $c$ is $x^2 - 8x + c$ the square of a binomial?
nikklg [1K]

Value of c is 16 for which equation  f(x) = x^2-8x+c  is a square of binomial !

<u>Step-by-step explanation:</u>

Here we meed to find the value of c for which equation f(x) = x^2-8x+c or ,  f(x) = x^2-8x+c is a square of a binomial . Let's find out:

We know that

⇒ (x-a)^2 = x^2-2(a)(x)+a^2   ..........(1)

Let's simplify given equation in question

⇒ f(x) = x^2-8x+c

⇒ f(x) = x^2-2(4)x+c

Comparing this equation with (1) we get :

a=4 , c=a^2

⇒ c=a^2

⇒ c=4^2

⇒ c=16

Therefore , Value of c is 16 for which equation  f(x) = x^2-8x+c  is a square of binomial !

5 0
3 years ago
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