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mash [69]
3 years ago
13

Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)(???????) =???? .

Mathematics
2 answers:
g100num [7]3 years ago
7 0

Answer: The answer is (x+7)(3x+1)=33x^2+22x+7.

Step-by-step explanation: Given that

(3x2 + 22x + 7) \div(x + 7) = 3x + 1,

and we are to complete the following sentence:

(x+7)(???)=???

We have the following division algorithm for polynomials

\textup{If }a(x)\times b(x)=c(x),\\\textup{then, we have }\\\\\dfrac{c(x)}{b(x)}=a(x)~~~~~\textup{or}~~~~~~c(x)\div b(x)=a(x).

Here, a(x) = quotient, b(x) = divisor and c(x) = dividend.

Applying this rule in the given problem, we have

\textup{since }(3x2 + 22x + 7) \div(x + 7) = 3x + 1,\\\\\textup{so, }\\\\(x+7)(3x+1)=3x^2+22x+7=0.

Thus, the complete sentence is

(x+7)(3x+1)=3x^2+22x+7=0.

svetoff [14.1K]3 years ago
3 0

Answer:

3x+1, 3x^2+22x+7, and closure

Step-by-step explanation:

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5 0
3 years ago
Tony leaves his house and rides his bike due north at 12 mph. At the same time, Jake leaves the same house and rides due west at
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3 years ago
Let f and g be two functions whose second derivatives are defined. Then (f · g) '' = f · g '' + f '' · g. true or false?
Marianna [84]
I hope this helps you

8 0
2 years ago
A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 3 /4 of this weight is apples, and the rest is pears. H
gayaneshka [121]

Answer:

  2.2 kg

Step-by-step explanation:

If 3/4 of the weight is apples, the remaining 1/4 is pears. 1/4 of 8.8 is 2.2, so ...

  the farmer sold 2.2 kg of pears at the farmer's market.

3 0
2 years ago
Find f(-7) when f(x)=- 29/x-4
vladimir1956 [14]

Answer:

f(-)=29/11

Step-by-step explanation:

Even though you don't want an explanation, I'll just tell you the basics lol.

So what you have to do, is plug in -7 for the x's.

it should look something like the equation below.

f\left(-7\right)=\frac{-29}{-7-4}

After that all you need to is just to subtract :)

f\left(-7\right)=\frac{-29}{-11}

Then after that all you need to do is just let the negatives cancel out each other so you should get:

f\left(-7\right)=\frac{29}{11}

Hope this helps!

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3 years ago
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