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3 years ago

Answer choice (A)5/30 (B)3/17 (C) 8/30 (D) 16/30

Mathematics

1 answer:

ratelena [41]3 years ago

8 0

<h3>Answer: (C) 8/30</h3>

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Explanation:

There are 5+3 = 8 people in choir and running club. I added the values in the overlapped region of the circles "choir" and "running club".

This is out of 2+5+6+7+3+4+3 = 30 people total.

Divide the two results to form the fraction 8/30

Ideally we should reduce to get 4/15, but your teacher has chosen not to reduce.

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If function F is defined by f(x) = 3x^2 + 5, what is f(x-4)

shepuryov [24]

Answer:

The function f(x) when x=x-4 is $f(x-4)=3x^2-24x+53$ or $f(x-4)=3x(x-8)+53$

Step-by-step explanation:

Given function f is defined by $f(x)=3x^2+5$

Now to find the function f(x-4):

$f(x)=3x^2+5$

Put x=x-4 in the above function we get

$f(x-4)=3(x-4)^2+5$

$f(x-4)=3(x^2-2(x)(4)+4^2)+5$ (using the formula $(a-b)^2=a^2-2ab+b^2$ )

$f(x-4)=3(x^2-8x+16)+5$

$f(x-4)=3x^2-24x+48+5$ (adding the like terms)

$f(x-4)=3x^2-24x+53$

$f(x-4)=3x(x-8)+53$

Therefore $f(x-4)=3x^2-24x+53$ or $f(x-4)=3x(x-8)+53$

The function f(x) when x=x-4 is $f(x-4)=3x^2-24x+53$ or $f(x-4)=3x(x-8)+53$

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3 years ago

the ratio of keiths age to Jared's ages 3 to 5 if Keith is 24 years old how old is Jared please show how many you got this answe

pishuonlain [190]

Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.

Givens
Keith is 24
Keith / Jared = 3/5
J = Jared

Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120 Divide by 3
J = 120 / 3
J = 40

Conclusion
Jared is 40 years old.

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