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3 years ago

15

You have a deck that has an area of 144 sq. ft. You and your family have decided to increase the area of your deck by 32 sq. ft.

What is the percent of increase to the area of the deck?

1 answer:

STatiana [176]3 years ago

8 0

Answer: 22.222222222.....%

Put it into an equation.

<u>32 </u> x <u>(x)</u>

144 100

Cross multiply, then divide.

32 x 100 = 3,200

3,200 / 144 = 22.222222222......%

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

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Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

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Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

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Therefore, the zeros of our given function are $x=-2,0,3$ .

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ehidna [41]

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