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4 years ago

What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

Mathematics

2 answers:

adoni [48]4 years ago

8 0

Y-intercept: (0, -24)

Sveta_85 [38]4 years ago

7 0

Answer:

The y-intercept of f(x) is -24.

(0,-24) C is correct.

Step-by-step explanation:

Given: $f(x)=(x-8)(x+3)$

We need to find the value of y-intercept.

For y-intercept, put x=0 into f(x) and solve for y because it lie on y-axis.

Put x=0 into f(x)

$y-intercept=f(0)$

$f(0)=(0-8)(0+3)$

$f(0)=-24$

y-intercept: (0,-24)

Hence, The y-intercept of f(x) is -24.

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3 years ago

Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of

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Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

<h3>What is the perimeter of a rectangle?</h3>

The perimeter of a rectangle of length l and width w is given by:

$P = 2(l + w)$

In this problem:

She has enough wood to build a deck that is 280ft, hence P = 280.

The length is of 10 feet, hence l = 10.

Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.

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You can learn more about the perimeter of a rectangle at brainly.com/question/10489198

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