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Advocard [28]
3 years ago
6

PLEASE HELP IM SO STUCK ILL MARK YOU BRIANLIEST!!! 30 POINTS Given the expression: 6x10 − 96x2 Part A: Rewrite the expression by

factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)

Step-by-step explanation:

6x^10 − 96x^2

Factor out 6x^2

6x^2 ( x^8 - 16)

Notice that inside the parentheses we have the difference of squares

6x^2 ( x^4 ^2 - 4^2)  a^2 - b^2 = (a-b) (a+b)

6x^2 ( x^4 -4) (x^4 +4)

Notice that x^4-4 is also the difference of squares

6x^2 ( x^2^2 -2^2) (x^4 +4)

6x^2 ( x^2 -2) ( x^2 +2) (x^4 +4)

Note also that x^4 + 4 can be factored into (x^2+2x+2)(x^2-2x+2)

6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)

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Aloiza [94]

Answer:

27

Step-by-step explanation:

r = 2 cm,  h = 6 cm.

V = r² π h = 2² · 3.14 · 6 = 4 · 3.14 · 6 =  75.36 cm³

2000 : 75.36 = 26.54

4 0
3 years ago
Ms Clark bought 9 yards of fabric. She used it to make 13 identical scarves. How many yards of fabric did she use to make each s
Alona [7]

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Step-by-step explanation:

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7 0
3 years ago
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Solve the following inequality: 3-5x-x^2>=0
Dennis_Churaev [7]

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

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x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

5 0
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Can someone help me solve this?
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The area of a triangle is base x height/2,
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