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Free_Kalibri [48]
3 years ago
5

Find the product. (3n - 1)(7n-7)

Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

21n² - 28n + 7

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3n(7n - 7) - 1(7n - 7) ← distribute both parenthesis

= 21n² - 21n - 7n + 7 ← collect like terms

= 21n² - 28n + 7

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Indicate the answer choice that best completes the statement or answers
zysi [14]

Answer:

Option D. y = 5x + 1

Step-by-step explanation:

From the question given above, the following data were:

Input (x) >>>>>> Output (y)

0 >>>>>>>>>>>> 1

1 >>>>>>>>>>>> 6

2 >>>>>>>>>>>> 11

3 >>>>>>>>>>>> 16

4 >>>>>>>>>>>> 21

To know the the correct answer to the question, we shall apply the equation given in each option to see which will satisfy the table. This can be obtained as follow:

For Option a

y = 3x + 3

x = 0

y = 3(0) + 3

y = 0 + 3

y = 0

y = 3x + 3

x = 1

y = 3(1) + 3

y = 3 + 3

y = 6

For Option b

y = 5x – 4

x = 0

y = 5(0) – 4

y = 0 – 4

y = – 4

y = 5x – 4

x = 1

y = 5(1) – 4

y = 5 – 4

y = 1

For Option c

y = 10x – 9

x = 0

y = 10(0) – 9

y = 0 – 9

y = – 9

y = 10x – 9

x = 1

y = 10(1) – 9

y = 10 – 9

y = 1

For Option d

y = 5x + 1

x = 0

y = 5(0) + 1

y = 0 + 1

y = 1

y = 5x + 1

x = 1

y = 5(1) + 1

y = 5 + 1

y = 6

From the illustrations made above, only option d satisfy the table. Thus, option d gives the correct answer to the question.

5 0
3 years ago
Can anyone name 3 line segments?
horrorfan [7]
CD, CE, HG, GF, AL, LB, AB, HF, DE. A line segment is comprised of any two points. The ones I listed are the ones specifically named in the picture.
4 0
4 years ago
Read 2 more answers
12) Add the fractions, and simplify if possible.<br><br> (y+7)/(y^2-y-12) - 2/(y^2-9)
lianna [129]

Answer:

\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}

Step-by-step explanation:

Given the expression

\dfrac{y+7}{y^2-y-12}-\dfrac{2}{y^2-9}

First, factor each denominator:

1. y^2-y-12=y^2-4y+3y-12=y(y-4)+3(y-4)=(y-4)(y+3)

2. y^2-9=(y-3)(y+3)

Now the expression is

\dfrac{y+7}{(y-4)(y+3)}-\dfrac{2}{(y-3)(y+3)}

Now, multiply the first numerator by (y-3) and the second by (y-4) and write the result as a fraction with denominator (y-4)(y+3)(y-3):

\dfrac{(y+7)(y-3)-2(y-4)}{(y-4)(y+3)(y-3)}=\dfrac{y^2-3y+7y-21-2y+8}{(y-4)(y+3)(y-3)}=\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}

This fraction cannot be simplified more.

3 0
4 years ago
Can you simplify 3/r + 7/r+3
Nutka1998 [239]
Combine the fractions by finding a common denominator. 
10r+9/r(r+3)
7 0
3 years ago
Which statements about the area of the faces of the rectangular prism are true? Select all that apply.
LenaWriter [7]

Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,

Step-by-step explanation: SOrry if im wrong

5 0
3 years ago
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