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2 years ago

Factor the polynomial completely

Mathematics

1 answer:

Yuki888 [10]2 years ago

7 0

<h2>Answer:</h2>

$\boxed{(7-5x)(49+35x+25x^2)}$

<h2>Step-by-step explanation:</h2>

These are the steps you must follow to solve this problem:

Step 1:

We can write $125=5^3$ and $343=7^3$ so:

$343-125x^3=(7^3-5^3x^3)$

Step 2:

We can arrange this as follows:

$343-125x^3=[7^3-(5x)^3]$

Step 3:

So we can use difference of cubes formula:

$(a^3-b^3)=(a-b)(a^2+ab+b^2)$

So:

$a=7 \\ \\ b=5x$

Therefore:

$343-125x^3=(7-5x)[(7)^2+(7)(5x)+(5x)^2]$

$343-125x^3=(7-5x)(49+35x+25x^2)$

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Cora uses 6.2 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is

zhenek [66]

Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

Quantity of White paint =2/ 5 x 6.2 pints = 2.48 pints

Quantity of blue paint =Total Quantity -Quantity of White paint

=6.2 pints-2.48 pints

=3.72 pints

5 0

2 years ago

A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on three numbers pays 11 to 1 (that is, if you bet $1 and one of

OLga [1]

Answer:

You are expected to lose $0.05 (or win -$0.05)

Step-by-step explanation:

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The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:

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2 years ago

Please help!! Question is down below and I’m kinda confused

Arada [10]

It would be the last one

4 0

2 years ago

Ricardo took the following steps to simplify the expression below but was surprised to hear that his answer was incorrect. Which

Xelga [282]

You have not given us any of the steps that Ricardo took to simplify the
expression, and you also haven't given us the list of choices that includes
the description of his mistake, so you're batting O for two so far.
Other than those minor details, the question is intriguing, and it certainly
draws me in.

If Ricardo made a mistake in simplifying that expression, I'm going to say that
it was most likely in the process of removing the parentheses in the middle.

Now you understand that this is all guess-work, because of all the stuff that you
left out when you copied the question, but I think he probably forgot that the 3x
operates on everything inside the parentheses.

He probably wrote that 3x (x-3) is

either 3x² - 3
or x - 9x .

In reality, when properly simplified,

3x (x - 3) = 3x² - 9x .

3 0

2 years ago

Please prove this........

Crazy boy [7]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π → C = π - (A + B)

→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))

→ sin C = sin (A + B) cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]