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masya89 [10]
3 years ago
11

One of the factors of 6x3 − 864x is A. 4 B. X^2 C. X + 12 D. X - 8

Mathematics
2 answers:
erastova [34]3 years ago
8 0
The answer is C. X+12
Anna71 [15]3 years ago
4 0

Consider the expression 6x^3-864x. This expression consists of two terms: 6x^3 and -864x.

These two terms have common factors 6 and x, because:

  • 6x^3=6x\cdot x^2;
  • -864x=6x\cdot (-144).

Then

6x^3-864x=6x(x^2-144).

You know that 144=12^2. Use the formula for the difference of squares:

x^2-144=x^2-12^2=(x-12)(x+12).

Therefore,

6x^3-864=6x(x-12)(x+12).

Answer: correct choice is C.

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Answer:

C

Step-by-step explanation:

Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.

Brooke: 1 hr 45 min

We know that there are 60 minutes in 1 hour, so we essentially have:

60 min and 45 min  ⇒  60 + 45 = 105 min

Lamont: 115 min

This is already in minutes, so we don't have to do anything to it.

We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:

- Since we know Brooke took 105 minutes, we can eliminate A and B.

- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race

- If Brooke took less time, that means she's faster.

Thus, the answer is C.

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3 years ago
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Sloan [31]

Answer

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Step-by-step explanation:

8 0
4 years ago
You and your sister rake and pick up leaves from your grandmother' s yard. She says she' Lloyd pay you $35.00 for the job. Upon
Lana71 [14]
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3 0
3 years ago
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Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
worty [1.4K]

Answer:

a-b  divided into a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

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Step-by-step explanation:

4 0
3 years ago
Rearrange the equation algebraically to solve for the unknown quantity.
timofeeve [1]

Given:

Consider the given equation is

P=2L+2W

To find:

The solution of the equation for l.

Solution:

We have,

P=2L+2W

Substract 2W from both sides.

P-2W=2L+2W-2W

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\dfrac{P-2W}{2}=\dfrac{2L}{2}

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Therefore, the correct option is 3.

4 0
3 years ago
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