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Bumek [7]
2 years ago
13

Factor out the GCF 45c^6+20c^4

Mathematics
2 answers:
tatiyna2 years ago
5 0

Answer:

5c^4( 9c^2 + 4).

Step-by-step explanation:

The GCF of 45 and 20 is 5 and the GCF of c^6 and c^4 = c^4.

So the GCF is 5c^4 and the factors are:

5c^4( 9c^2 + 4)

Musya8 [376]2 years ago
3 0

Answer:

5c^{4} (9c^{2} +4)

Step-by-step explanation:

First we factor out the lowest degree exponent (x^4) out of both sides.  

Then we can factor out the GCF of 45 and 20, which is 5.

We cannot factor anything else out of the equation, so the GCF would be 5c^{4} (9c^{2} +4c)

The process is shown below:

45c^{6} +20c^{4} \\= c^{4}(45c^{2} +20c)\\= 5c^{4} (9c^{2} +4)\\

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a washer and a dryer cost 659$ combined. The washer costs 91$ less than the dryer, how much was the dryer?  
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W+D=659

W=D-91

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(D-91)+D=659

D-91+D=659

2D=750

D=750/2=375

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W+375=659

W=284

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So the dryer had cost $375 and the washer had cost $284.
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3 years ago
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Step-by-step explanation:

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2 years ago
The length of a rectangle is 5 inches more than it's width, x. The area of a rectangle can be represented by the equation.x^2+5x
Digiron [165]

Answer:

the width=15; the length=20

Step-by-step explanation:

1. to solve the given equation: x²+5x-300=0;

x₁= -20; x₂=15, where 'x' can be only positive value. It means x=15;

2. according to the condtition the length is more, it means 15+5=20.

3. the width is x=15; the length is 20.

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3 years ago
How much would the account earn in 1 year of simple interest at a yearly rate of 2.33%? Round to the nearest cent.
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Step-by-step explanation:

3 0
3 years ago
B(n)=−4−2(n−1)<br> What's the 12th term in the sequence?
marysya [2.9K]

The 12th term in the sequence is -26.

Given,

B (n) = -4 – 2(n – 1)

We have to find the 12th term in the sequence:

To find the nth term in an arithmetic sequence:

An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

Here,

First term, a = -4

Common difference, d = -2

nth term = 12

Now, let’s find 12th term

B(n) = -4 -2(n – 1)

B(12) = -4 – 2(12 – 1)

B(12) = -4 -2(11)

B(12) = -4 -22

B(12) = -26

That is, the 12th term in the sequence is -26.

Learn more about arithmetic sequence here:

brainly.com/question/11570734

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