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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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Novay_Z [31]
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They are the same length :)
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2 years ago
A’B’C’ is a dilation image if ABC which is the correct description of the dilation
Sav [38]

Answer:

The dilation is an enlargement

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem Triangles A'B'C' and ABC are similar by AA Similarity Postulate

Let

z------> the scale factor

so

z=\frac{A'C'}{AC}

substitute the values

z=\frac{2+8}{2}

z=\frac{10}{2}=5

The scale factor is greater than 1

therefore

The dilation is an enlargement

3 0
3 years ago
Read 2 more answers
Round Ed to the nearthest tenth and answer now question
Vikki [24]

Answer:

y = 9.1

Step-by-step explanation:

y can be found using the Law of sines as explained below:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Thus,

\frac{x}{sin(X)} = \frac{y}{sin(Y)}

\frac{8}{sin(58)} = \frac{y}{sin(106)}

\frac{8}{0.848} = \frac{y}{0.961}

Multiply both sides by 0.961 to solve for y

\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961

\frac{8*0.961}{0.848} = y

\frac{8*0.961}{0.848}*0.961 = y

9.07 = y

y = 9.1 (to the nearest tenth)

7 0
3 years ago
A service club is selling raffle tickets for 2.50 each to raise money for a charity. Vanessa has 34.75 to spend on raffle ticket
posledela

Answer:

13 Raffle tickets

Step-by-step explanation:

Cost for one riffle ticket = 2.50

Total money of Vanessa budgeted for riffle ticket : 34.75

Greatest number of riffle ticket, venessa can with with 34.75

I'll like us to divide 34.75 by 2.5 to get the exact value.

Therefore,

34.75 / 2.5

= 13.9

It therefore implies that, Vanessa will buy a maximum of 13 riffle tickets and still have a change of 2.25

4 0
3 years ago
Evaluate the expression for the given value of variable(s)
Olenka [21]
You would: 
(4 * 2 - 4) + (3 - 2^2) + (2 * 2^3)
(8 - 4) + (3 - 4) + (16)
4 + -1 + 16 = 19
8 0
3 years ago
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