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3 years ago

8

Please help.........

1 answer:

Katyanochek1 [597]3 years ago

5 0

Answer:

a

Step-by-step explanation:

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If I saved up $10 every 2 weeks, how much would I have saved in a year? Please help, thank you!

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I believe there’s 52 weeks in a year besides leap year so it would be 52 divided by 2 times 10 and you’d have your answer

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2 years ago

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For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.

Ilia_Sergeevich [38]

Answer:

-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is $\frac{f(b)-f(a)}{b-a}$

The given function is $f(x)=-5^{x-3}+2$ .

$f(4)=-5^{4-3}+2=-3$ .

$f(4)=-5^{3-3}+2=1$ .

The average rate of change from x=3 to x=4 is given by:

$\frac{f(4)-f(3)}{4-3}$

$\frac{-3-1}{4-3}=-4$

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2 years ago

Given the diagram below, find the value of x.

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Step-by-step explanation:

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2 years ago

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:

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

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 $-3\text{ and }2$ .

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

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

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

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

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

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

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

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

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

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

7 0

3 years ago