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2 years ago

Write two different expressions that represent the quantity x decreased by 30%.

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

4 0

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

4x = 44

x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

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Answer:

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Step-by-step explanation:

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1 year ago

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Step-by-step explanation:

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3 years ago

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Svetlanka [38]

Answer:

$\sqrt[]{\frac{x+8}{4}}-3$

Step-by-step explanation:

$g(x)=4(x+3)^2-8$

First rewrite $g(x)$ as y

$y=4(x+3)^2-8$

Now swap y and x

$x=4(y+3)^2-8$

Add 8 on both sides.

$x+8=4(y+3)^2-8+8$

$x+8=4(y+3)^2$

Divide by 4.

$\frac{x+8}{4} =\frac{4(y+3)^2}{4}$

$\frac{x+8}{4}=(y+3)^2$

Extract the square root on both sides.

$\sqrt[]{\frac{x+8}{4}}=\sqrt[]{(y+3)^2}$

$\sqrt[]{\frac{x+8}{4}}=y+3$

Subtract 3 on both sides.

$\sqrt[]{\frac{x+8}{4}}-3=y+3-3$

$\sqrt[]{\frac{x+8}{4}}-3=y$

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2 years ago