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liq [111]
3 years ago
8

Factor the expression 54x+81 using the GCF.

Mathematics
2 answers:
Vikki [24]3 years ago
7 0

We are given the expression,

54x+81

Here we have to find Greatest Common Factor of 54 and 81

Factors of 54 are 1, 2, 3, 6, 9, 18 and 27.

Factors of 81 are 1, 3, 9, 27 and 81.

Greatest common factor of 54 and 81 is 27.

So we take out 27 common, rewriting the expression

27(2x+3)

Answer: 54x+81 in factored form equals 27(2x+3).

postnew [5]3 years ago
5 0
54x+81
27(2x+3). Hope it help!
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Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!
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The piece-wise linear functions can be written as follows:

  • f(x) = x, x \leq -2.
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<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

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  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

f(x) = x, x \leq -2.

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

f(x) = -x - 7, -2 < x \leq 1.

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

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b = -9.

Hence:

f(x) = 2x - 9, x > 1.

More can be learned about linear functions at brainly.com/question/24808124

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YOU WILL GET MARKED BRAINLIEST:)
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