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3 years ago

Which expression is equivalent to 6(4(6x-4y)-5) ?

Mathematics

1 answer:

iren2701 [21]3 years ago

8 0

Answer:

$144x - 96y - 30$

Step-by-step explanation:

<u>Step 1: Distribute </u>

$6(4(6x - 4y) - 5)$

$6((4 * 6x) + (4 * -4y) - 5)$

$6(24x - 16y - 5)$

<u>Step 2: Distribute again </u>

<u /> $(6 * 24x) + (6 * -16y) + (6 * -5)$

$144x - 96y - 30$

Answer: $144x - 96y - 30$

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3 years ago

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4 years ago

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Post-test about graphs need help

Murrr4er [49]

Answer:

O A. $y=\frac{4}{3} x-\frac{1}{3}$

Step-by-step explanation:

To find the equation of the line, we need to know the slope and the y-intercept.

so, let's start by the slope. We need two points given in the graph.

(4, 5) and (-2, -3)

Then use the Slope-Formula to identify the Slope of the line.

m = slope

m = $\frac{y2-y1}{x2-x1}$ Slope Formula

m = $\frac{-3-5}{-2-4}$ subtract the second y from the first y / second x from first x

m = $\frac{-8}{-6}$ Turn the fraction to positive because two negatives = positi-

m = $\frac{8}{6}$ Simplify

m = $\frac{4}{3}$ Final Answer

The slope of the line is $\frac{4}{3}$ now what about the y-intercept?

The y-intercept is located at the y axis.

It determines how many units the graph goes up or down depending...

Well in this case, the y-intercept is negative because it is below on the yaxis

Then we must determine the y-intercept.

so we know is negative but it isn't exactly on a point so it is formed as a fra-

then we can determine it by seeing when it hits another unit (hard explainin)

y-intercept = -1/3

Final Answer: y = $\frac{4}{3} x-\frac{1}{3}$

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