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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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salantis [7]
Your answer is x = 3.

-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 6 -6x - 12
-3x - 15 = -6 - 6x
-3x + 6x = -6 + 15
3x = -6 + 15
3x = 9
x = 3
3 0
3 years ago
Read 2 more answers
Rewrite each expression without using absolute value notation |7m-56| if m<8
dusya [7]

Considering the definition of the absolute value function, the expression is written as -7m + 56.

<h3>What is the definition of the absolute value function?</h3>

The absolute value function is defined as follows:

  • |x| = x, x \geq 0.
  • |x| = -x, x < 0

That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.

In this problem, the expression is:

|7m - 56|

For m < 8, we have that one example is m = 0:

7(0) - 56 = -56.

The expression is negative, hence the signal is changed, that is:

|7m - 56| = -(7m - 56) = -7m + 56.

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

7 0
2 years ago
A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior co
gavmur [86]

Answer:

The total number of ways are 168.

Step-by-step explanation:

Consider the provided information.

There are 7 junior and 3 senior coders in her group.

The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.

For second project we have 3 choices and for third project we have 7 choices.

Now there are 2 possible case:

Case I: If first and second coder is senior, then the total number of ways are:

3\times 2\times 7=42

Case II: If first and third coder is junior, then the total number of ways are:

7\times 3\times 6=126

Hence, the total number of ways are: 42+126=168

6 0
3 years ago
Please help asap!!
Pavlova-9 [17]
B and e I think I don’t know tho
3 0
3 years ago
Read 2 more answers
What is 1 6\10+ 5 2\10(what is 6\8- 2 4\8)what is 6 6\10- 4 4\10​
padilas [110]

Answer:

what is 1 6/10+5 2/10

=16/10 + 52/10 =

<u>16+52   =  68</u>

10              10

6/8-24/8

=6/8-20/8

<u>6-20 =  14</u>

8           8

6 6/10- 4 4/10

=<u>66-44 = 22</u>

10           10

Step-by-step explanation:

1/ if the fraction is mixed number example 2 1/7, it will be 2x7+1 and that will be 15 over 7

2/and if the bottom number example: 2 1/7, 7 is the bottom number and if 2 1/3 (3 is the bottom number) then see what the bottom number have in common example: 7-x1=7

7x2=14

7x3=21

3x1=3

3x2=6

3x3=9

3x4=12

3x5=15

3x6=18

3x7=21

so 21 is 7 and 3 have in common so the bottom number which is now 21 will divide 7 and got 3 and 3 will go on the top number 1 and 21 divide 3 which is 7 will go on the top number 1 and you continue to add your sum or subtract understand or not

4 0
3 years ago
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