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Annette [7]
3 years ago
10

Factor the expression by grouping (show work/steps) -4x^3 - 12x^2 + 8x + 24

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0
Factor out -4
-4(x^3+3x^2-2x-6
Factor out x^2
-4(x^2(x+3)-2x-6)
Factor out -2
-4(x^2(x+3)-2(x+3))
Factor out x+3
-4(x+3)(x^2-2)
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PLEASE HELP ME 3X+1/14=2X/8 WHAT IS  X? EXPLAIN HOW YOU GOT THE ANSWER
balandron [24]
Cross-multiply so that 8(3x + 1) = 14(2x)

Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x

Subtract 24x from both sides:
8 = 4x

Divide both sides by 4:
x = 2

4 0
3 years ago
The equation of a line is 8x+2y=10. Calculate the slope of the line.
emmainna [20.7K]

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6 0
3 years ago
D=rt for r<br> solve for the specified variable
Harlamova29_29 [7]

Answer:

r=d/t

Step-by-step explanation:

d=rt

we are to make r the subject of the formula, so we remove t from the rhs.

we do this by dividing both sides by t

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4 0
2 years ago
Help help help help help
Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
2 years ago
Marcia made spiral books to sell at her local craft fair. She forgot to count how many she made before the fair. She knows that
Alex787 [66]

Answer:

B) 0.60n+1.48n = 176.80

Step-by-step explanation:

0.60 for every spiral wire per book = 0.60*n

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Put it together: 0.60n+1.48n = 176.80

5 0
2 years ago
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