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nadezda [96]
3 years ago
14

Four gallons of paint are used to paint 25 chairs. If each chair uses the same amount of paint. How many gallons are used to pai

nt each chair?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0
4 / 25 = 0.16 gallons per chair. 
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never [62]

<u>Answer:</u>

5x = 100°

4x = 80°

<u>Step-by-step explanation:</u>

We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.

We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.

So we can write it as:

5x+4x=180

9x=180

x=\frac{180}{90}

x=20

Finding the measure of both the angles:

5x = 5(20) = 100°

4x = 4(20) = 80°

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What is the answer to 3(2-x)-2 if x equal -2
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Answer:

0.


Step-by-step explanation:

3(2-2)

Distribute 3 to -2 and you would get 6.

Then you would distribute 3 too -2 and get -6.

After, you would have 6-6, which is 0.

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Given f: ℝ → ℝ and : ℝ → ℝ , for the following, find f(g(x)) and g(f(x)), and state the domain.
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Answer:

Remember, (f\circ g)(x)=f(g(x)) and the range of g must be in the domain of f.

a)

f(g(x))=f(x-1)=(x-1)^2-(x-1)=x^2-2x+1-x+1=x^2-3x+2

g(f(x))=g(x^2-x)=(x^2-x)-1=x^2-x-1

The domain of f(g(x)) and g(f(x)) is the set of reals.

b)

f(g(x))=f(\sqrt{x}-2)=(\sqrt{x}-2)^2-x=\sqrt{x}^2-2*2*\sqrt{x}+2^2-x=-4\sqrt{x}+4

g(f(x))=g(x^2-x)=\sqrt{x^2-x}-2

The domain of f(g(x)) is the set of nonnegative reals and the domain of g(f(x)) is the set of number such that x^2-x\geq 0

c)

f(g(x))=f(\frac{1}{x-1})=(\frac{1}{x-1})^2=\frac{1}{(x-1)^2}

g(f(x))=g(x^2)=\frac{1}{x^2-1}

The domain of f(g(x)) is the set of reals except the 1 and the domain of g(f(x)) is the set of reals except the 1 and -1

d)

f(g(x))=f(\frac{1}{x-1})=\frac{1}{(\frac{1}{x-1}-1)}=\frac{1}{\frac{2-x}{x-1}}=\frac{x-1}{2-x}

g(f(x))=g(\frac{1}{x+2})=\frac{1}{(\frac{1}{x+2}-1)}=\frac{1}{\frac{-x-1}{x+2}}=\frac{x+2}{-x-1}

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f(g(x))=f(log(2(x+3)))=f(log(2x+6))=log(2x+6)-1

g(f(x))=g(x-1)=log(2(x-1)+6)=log(2x+4)

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What is the square root of ab^2 ?
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Answer:

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Step-by-step explanation:

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