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2 years ago

FACTOR OUT THE GCF: 6d^5-10d^2

Mathematics

1 answer:

Ainat [17]2 years ago

8 0

Answer:

GCF: 2d²

Step-by-step explanation:

Write out all the factors of 6:

-----------

6 1

3 2

Write all the factors of 10:

--------------

10 1

5 2

The GFC of both of those numbers is 2.

Since both numbers have a variable of d, and since they both have exponents, you can multiply both numbers by d², because there is at least one d² in each variable.

Your full answer would be: 2d²(3d³ - 5)

If you use foil, remember you don't multiply exponents, you add them.

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Solve: 3n - 6 = -8(6 +5n)<br> and explain how to solve it

hjlf

Answer:

Step-by-step explanation:

First use distributive property: a(b + c) = a*b + a*c

3n - 6 = -8(6 + 5n)

3n - 6 = 6 * (-8) + 5n *(-8)

3n - 6 = -48 - 40n

Now add 40n to both sides

3n - 6 + 40n = -48 - 40n + 40n

43n - 6 = -48

Now add 6 to both sides

43n - 6 + 6 = -48 + 6

43n = -42

n = -42 /43

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2 years ago

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Andreas93 [3]

Answer:

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Step-by-step explanation:

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3 years ago

Graph the line whose y-intercept is -7 and whose x-intercept is 1

vesna_86 [32]

Answer:

$y=7x -7$

Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $x_{2}$ and $x_{1}$ are the x - coordinates of both points and $y_{2}$ and $x_{1}$ are the y - coordinates of both points.