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3 years ago

Multiply the polynomials. (2x^2 + 6x + 6)(3x – 2)

Mathematics

1 answer:

DaniilM [7]3 years ago

6 0

Hey there! :)

Answer:

6x³ + 14x² + 6x - 12.

Step-by-step explanation:

Given:

(2x² + 6x + 6)(3x - 2)

Multiply each term in the first polynomial by both terms in the second:

3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =

6x³ + 18x² + 18x - 4x² - 12x -12 =

Combine like-terms:

6x³ + 14x² + 6x - 12.

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aivan3 [116]

Answer:

$c=\dfrac{27}{40}\\$

Step-by-step explanation:

We are required to solve for c in the equation: $\dfrac{1}{8}+c= \dfrac{4}{5}$

Step 1: Collect like terms

$\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}$

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

$40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40$

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

$c=\dfrac{27}{40}\\$

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3 years ago

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ABC , dce is the answer

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2 years ago

What is the answer???

Tomtit [17]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

Jose needs to memorize words on a vocabulary list for French class. He has memorized 20 of the words, which is four-fifths of th

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Answer:

Explanation:

In order to solve this the easiest way you can use equivalent fractions.

$\frac{4}{5} = \frac{20}{?}\\$

Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.

$\frac{4}{5} * \frac{5}{5} = \frac{20}{25}$

25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use <em>t</em> for total.

$\frac{4}{5} = \frac{20}{t}\\$

So now we have our problem set up. The next step is to cross multiply. 4 by <em>t</em> and 5 by 20.

$4t = 5 * 20\\4t = 100\\$

And now we can solve it like a normal algebra problem.

$\frac{4}{4}t = \frac{100}{4}\\t = 25$

Either way, we get 25.

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2 years ago