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Andreas93 [3]
3 years ago
8

Factor out the greatest common factor. 3x + 27x2 A. 3x(x + 9x) B. 3x(x + 9x2) C. 3x(9x) D. 3x(1 + 9x)

Mathematics
1 answer:
liberstina [14]3 years ago
7 0
3x+27x^{2}=27x^{2}+3x=3x(9x+1)

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Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
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3 years ago
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It’s going up at the same rate
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3 years ago
How would you factor this
Studentka2010 [4]
Hi again!

The answer is : (3g + 5)(3g + 5)


I hope that's help!
7 0
3 years ago
The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side.
Sladkaya [172]

Answer:

0 < x < 12

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12

0 < x < 12

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3 years ago
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