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2 years ago

10

Omar's gas tank is 1/10 full. After he buys 6 gallons of gas, it is 2/5 full. How many gallons can Omar's tank hold?

1 answer:

castortr0y [4]2 years ago

4 0

1/10x + 6 = 2/5x
6 = 2/5x - 1/10x
6 = 4/10x - 1/10x
6 = 3/10x
6 / (3/10) = x
6 * 10/3 = x
60/3 = x
20 = x <=== the gas tank can hold 20 gallons

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2 years ago

rebecca wants to crochet a scarf that is at least 4.4 feet long. So far, she's completed 2.5 feet. How much more does Rebecca in

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3 years ago

Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

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QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

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Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

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QUESTION 2

Given that;

$f(x)=4x-7$ .

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and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

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This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

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The given function is;

$f(x)=3(x-6)^2+1$

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$\frac{y-1}{3}\ge0$

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$y\ge1$

The interval notation is;

$[1,+\infty)$

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