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pychu [463]
3 years ago
6

linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhous

e is 36 feet. is 8 the value of x? explain
Mathematics
1 answer:
Zanzabum3 years ago
7 0
No. The value of x is 7.5 feet.
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7 0
3 years ago
Rewrite the quadratic function in vertex form (which is also called a standard form) and give the vertex.
jasenka [17]

The vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5

<h3>How to rewrite the quadratic function?</h3>

The quadratic function is given as:

f(x) = x^2 - 3x

Differentiate the function

f'(x) = 2x - 3

Set the function to 0

2x - 3 = 0

Add 3 to both sides

2x = 3

Divide by 2

x = 3/2

Set x = 3/2 in f(x) = x^2 - 3x

f(x) = 3/2^2 - 3 * 3/2

Evaluate

f(x) = -9/5

So, we have:

(x, f(x)) = (3/2, -9/5)

The above represents the vertex of the quadratic function.

This is properly written as:

(h, k) = (3/2, -9/5)

The vertex form of a quadratic function is

f(x) = a(x - h)^2 + k

So, we have:

f(x) = a(x - 3/2)^2 - 9/5

In f(x) = x^2 - 3x,

a = 1

So, we have:

f(x) = (x - 3/2)^2 - 9/5

Hence, the vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5

Read more about vertex form at

brainly.com/question/24850937

#SPJ1

7 0
2 years ago
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