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Ksivusya [100]
3 years ago
13

Help please! How would I solve a 2 step equation like this? 4(x-2)=14

Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer: Hi!

Okay. So this equation we will solve using something called the distributive property. We use the distributive property to multiply the terms inside the parentheses (x and -2) by the term outside and in front of the parentheses (4). First, we would multiply 4 * x, which is 4x. Then, we would multiply 4 * -2, which is -8. Out equation now looks like this:

4x - 8 = 14

Our goal is to isolate the x, so now we'll use inverse operations to remove the -8 from the equation. The inverse operation for subtraction is addition, so we would add 8 to both sides:

4x - 8 = 14

   + 8  + 8

The eights cancel out, so we're left with this equation:

4x = 22

Last step! We're almost done. All we have to do now is divide 4 on both sides; in the term 4x, 4 is being multiplied by x, so the inverse operation would be division.

4x ÷ 4 = x

22 ÷ 4 = 5.5

Our equation now looks like this:

x = 5.5

So, 5.5 is equal to x! This would be your answer!

Hope this helps!

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Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below: f(x) = 10x + 8 g(x) = x + 9 2,0
ikadub [295]
ANSWER
f(g(10)) = 198

EXPLANATION

The given functions are;

f(x) = 10x + 8
and

g(x) = x + 9


To find
f(g(10))
we need to find

f(g(x)) = f(x + 9)


f(g(x)) =10(x + 9) + 8



f(g(x)) =10x + 90 + 8


f(g(x)) =10x + 98



f(g(10)) = 10(10) + 98


f(g(10)) = 100 + 98


f(g(10)) = 198


The last option is the correct answer
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Given f(x) = 5x - 1 what is f(-2)?
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-11

Step-by-step explanation:

Plug in -2 for x

5(-2) - 1

Order of operations (or PEMDAS) tells you to multiply first giving you:

-10 - 1

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What are the measures of angles B and C?
seropon [69]

Answer:

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Step-by-step explanation:

First find the value of x:

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Collect like terms

3n - 6n = -20 - 25

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Divide both sides by -3

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✔️Find angle B:

m<B = 3n + 20

Plug in the value of n

m<B = 3(15) + 20

m<B = 45 + 20

m<B = 65°

✔️Find angle C:

m<C = 180 - m<B (consecutive angles of a parallelogram are supplementary)

m<C = 180 - 65

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Step-by-step explanation:

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