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Alex73 [517]
3 years ago
11

How many quarts is 3 gallons

Mathematics
2 answers:
Oxana [17]3 years ago
7 0

Conversion factor ⇒ <em>4 quarts = 1 gallon</em>

<em />

<em>4 quarts = 1 gallon</em>

<em>8 quarts = 2 gallons</em>

<em>12 quarts = 3 gallons</em>

<em />

Therefore, 3 gallons is equal to 12 quarts.

Romashka [77]3 years ago
3 0
There are 4 quarts in a gallon, so 3x4=12 quarts
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HELP WITH ALL <br> Determine the composite functions of the following set of functions
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QUESTION 1

i) Given f(x)=5x-2 and g(x)=x^2.

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(f\circ g)=5x^2-2

ii) Given f(x)=5x-2 and g(x)=x^2.

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(g\circ f)=25x^2-20x+4

QUESTION 2

i) Given g(x)=x^2-4 and h(x)=\sqrt{2x+1}.

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We plug in x^2-4 into h(x)=\sqrt{2x+1}

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ii) Given g(x)=x^2-4 and h(x)=\sqrt{2x+1}.

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(g\circ h)=g(\sqrt{2x+1})

We plug in \sqrt{2x+1 into g(x)=x^2-4

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(g\circ h)=2x+1-4

(g\circ h)=2x-3

QUESTION 3

i) Given g(x)=x+5 and h(x)=\sqrt{x-4}.

(g\circ h)=g(h(x))

(g\circ h)=g(\sqrt{x-4})

We plug in \sqrt{x-4} into g(x)=x+5

(g\circ h)=\sqrt{(x-4)+5}

ii) Given g(x)=x+5 and h(x)=\sqrt{x-4}.

(g\circ g)=g(g(x))

(g\circ g)=g(x+5)

We plug in x+5 into g(x)=x+5

(g\circ g)=(x+5)+5}

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QUESTION 4

The given functions are;

f(x)=-2x+1 and g(x)=-x^2  

f\circ f=f(f(x))

f\circ f=f(-2x+1)

f\circ f=-2(-2x+1)+1)

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ii)  

g\circ g=g(g(x))

g\circ g=g(-x^2)

g\circ g=-(x^2)^2

g\circ g=-x^4

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h\circ g\circ f=-75x^2+60x-12)

ii.

f\circ f\circ g=f\circ (f(g(x))

f\circ f\circ g=f\circ (f(x^2)

f\circ f\circ g=f\circ (5x^2-2)

f\circ f\circ g=f(5x^2-2)

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note that

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because anything to the power of zero equals 0 (mathematically it's deciding something by itself)

7 0
3 years ago
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