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ser-zykov [4K]
2 years ago
6

What happens to the value?

Mathematics
1 answer:
Fiesta28 [93]2 years ago
4 0

Answer:

D.) c is multiplied by 4

Step-by-step explanation:

c = \dfrac{8a^3}{b}

If a is doubled, it becomes 2a. If b is doubled, it becomes 2b. Now we replace a with 2a and b with 2b and simplify.

c = \dfrac{8(2a)^3}{2b}

c = \dfrac{8 \times 8a^3}{2b}

c = \dfrac{4 \times 8a^3}{b}

c = 4 \times \dfrac{8a^3}{b}

Answer: D.) c is multiplied by 4

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The lovin lemonade company sells a 4 gallon jug of lemonade for $24 the sweet and sour company sells an eight pack of 1 quart bo
lbvjy [14]
One way to compare is to find the price per gallon.
$24 for 4 gallons = 24÷4 = $6 per gallon

8 pack of 1 qt bottle give you 2 gallons (4qts= 1 gallon)  So you get 2 gallons for $16
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Even if we compare the price per quart we will get the same answer as to who is selling it at the higher unit price.
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I’m Really lost if I could get a answer it would be greatly appreciated
Nataly [62]
<h3>Answers:</h3>

f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}

================================================

Work Shown:

Part 1

f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out \left(\sqrt{x-1}+5\right)^2

6 0
3 years ago
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