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Oksanka [162]
3 years ago
8

Factor the polynomial 4n^3+20n^2-64n-320

Mathematics
1 answer:
frez [133]3 years ago
3 0
4n^3+20n^2-64n-320\\\\=\boxed{4n^2}\cdot n+\boxed{4n^2}\cdot5+\boxed{-64}\cdot n+\boxed{-64}\cdot5\\\\=\boxed{4n^2}(n+5)-\boxed{64}(n+5)\\\\=(n+5)(4n^2-64)\\\\=(n+5)(4\cdot n^2-4\cdot16)\\\\=(n+5)\cdot4(n^2-16)\\\\=4\cdot(n+5)(n^2-4^2)\ \ \ |use:a^2-b^2=(a-b)(a+b)\\\\\boxed{=4(n+5)(n-4)(n+4)}
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The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
aniked [119]

Answer:

r(t) = 75 kg - (4.5 kg/wk)w

Step-by-step explanation:

Let r(t) represent the amount of rice remaining after w weeks.

Then:

r(t) = 75 kg - (4.5 kg/wk)w

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3 0
3 years ago
A machine has 12 identical components which function independently. The probability that a component will fail is 0.2The machine
marissa [1.9K]

Answer:

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will stop working. A) 0.073 B) 0.795 C) 0.867 D)0.205

6 0
3 years ago
Prove that sin^2A/cos^2A + cos^2A/sin^2A = 1/cos^2A*sin^2A - 2
jenyasd209 [6]

Answer:

prove that:

Sin²A/Cos²A + Cos²A/Sin²A = 1/Cos²A Sin²A - 2

LHS = \frac{Sin^2A}{Cos^2A} + \frac{Cos^2A}{Sin^2A}

Cos

2

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Sin

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+

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Cos

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A

= \begin{lgathered}= \frac{Sin^4A + Cos^4A}{Cos^2A . Sin^2A}\\\\Using\: a^2 + b^2 = (a+b)^2 - 2ab\\\\a = Cos^2A \: \& \:b = Sin^2A\\\\= \frac{(Sin^2A + Cos^2A)^2 - 2Sin^2A Cos^2A}{Cos^2A Sin^2A} \\\\Sin^2A + Cos^2A = 1\\\\= \frac{1 -2Sin^2A Cos^2A}{Cos^2A Sin^2A}\end{lgathered}

=

Cos

2

A.Sin

2

A

Sin

4

A+Cos

4

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Usinga

2

+b

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=(a+b)

2

−2ab

a=Cos

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=

Cos

2

ASin

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(Sin

2

A+Cos

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−2Sin

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ACos

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Sin

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A+Cos

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=

Cos

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ASin

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A

1−2Sin

2

ACos

2

A

\begin{lgathered}= \frac{1}{Cos^2A Sin^2A} - 2\\\\= RHS\end{lgathered}

=

Cos

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ASin

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1

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LHS=RHS

4 0
3 years ago
Read 2 more answers
Please help me on math and explain how to get the answer.
Lynna [10]

Answer:

x = 128

Step-by-step explanation:

ill name the empty angle y for clarification

y + 38 + 90 = 180

y + 128 = 180

y = 52

180 - y = x

180 - 52 = x

x = 128

4 0
3 years ago
Read 2 more answers
Braxton Starts his hike at sea level. He
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He hikes 200 feets uphill and 50 feets downhill, the total feet of braxtons hike is 200 feets + 50 feets = 250 feets?
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3 years ago
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