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3 years ago

If f(x) = -x + 8 and g(x) = x4, what is (gºf)(2)? Enter the correct answer.

Mathematics

1 answer:

quester [9]3 years ago

4 0

Answer:

$\large\boxed{(g\circ f)(2)=1296}$

Step-by-step explanation:

$f(x)=-x+8,\ g(x)=x^4\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\(g\circ f)(x)=\bigg(-x+8\bigg)^4\\\\(g\circ f)(2)\to\text{put x - 0 to the equation of the function:}\\\\(g\circ f)(2)=(-2+8)^4=(6)^4=1296$

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One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

5 0

3 years ago

Someone help me on question 10 please!

Crazy boy [7]

Answer:

Step-by-step explanation:

500÷9=55.56miles/h (correct to 3 decimal places)

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2 years ago

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Assoli18 [71]

Answer:

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The distance from A' to the origin is half the distance from A to the origin.

Step-by-step explanation:

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2 years ago

The length of the sides of a triangle is given. Determine

aalyn [17]

Answer:

the triangle is right

Step-by-step explanation:

The Pythagorean theorem dictates that a^2 +b^2=c^2

6^2+8^2=10^2

36+64=100

100=100

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2 years ago

Solve this equation for x in terms of y: 3x+2y=4

torisob [31]

3x+2y=4
3x=4-2y

Answer: $x = \frac{4-2y}{3}$

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3 years ago

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