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2 years ago

10

If you were trying to find out how far students could jump and you thought that there would be a wide variety of distances, whic

h of the following would you do?

1 answer:

Sever21 [200]2 years ago

3 0

Answer:

A

Step-by-step explanation:

Because then you can find who jumped the farthest

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If 4f(x)+f(5-x)=x2<br><br> What is f(x)?

aksik [14]

We are given that $4f(x)+f(5-x)=x^2$ .

Substitute x with 5-x, then the above equation becomes:

$4f(5-x)+f(5-(5-x))=(5-x)^2$ , that is

$4f(5-x)+f(x)=(5-x)^2$

So, we have the following system of equations:

i) $4f(x)+f(5-x)=x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) $-16f(x)-4f(5-x)=-4x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

adding the 2 equations side by side we have:

$-15f(x)=-4x^2+(5-x)^2$

expanding the binomial, and collecting same terms we have:

$-15f(x)=-4x^2+(25-10x+x^2)$

$-15f(x)=-3x^2-10x+25$

dividing by -5:

$3f(x)=\frac{3}{5}x^2+2x-5$

dividing by 3:

$\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

Answer: $\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

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If 12% of x is 72 and 1/8 of y is 16 what is the value of x-y

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Answer:

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The answer your looking for is 6

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Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8

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Answer:

C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Converting expressions to word form

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 4 < 4x + 8

<u>Step 2: Translate</u>

"2x" is the product of two and a number <em>x</em>

" - 4" is four less

"<" is less than

"4x" is the product of four and a number <em>x</em>

" + 8" is increased by 8

<u>Step 3: Combine</u>

The difference between the product of two and a number <em>x</em> and 4 is less than the sum of the product of four and a number <em>x</em> and 8.

<u>Step 4: Reword</u>

Four less than the product of two and a number is less than the product of four and the same number increased by eight.

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Answer:

y+4= -3(x+8)

Step-by-step explanation:

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