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Stella [2.4K]
4 years ago
5

Use synthetic division to divide (x3 + x2 – 40x – 4) ÷ (x – 6).   

Mathematics
1 answer:
Nastasia [14]4 years ago
8 0
6  |  1   1   -40   -4
.   |       6    42   12
- - - - - - - - - - - - - -
.   |  1   7      2     8

\dfrac{x^3+x^2-40x-4}{x-6}=x^2+7x+2\text{ R }8

6   |   3   -9   -56   8
.    |        18   54   -12
- - - - - - - - - - - - - - -
.    |   3    9     -2   -4

\dfrac{3y^3-9y^2-56y+8}{y-6}=3y^2+9y-2\text{ R }-4
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Helppp!!! Will fan and Medal!!!
Bond [772]
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When n = 0 then 0^2 + 0 = 0. n = 1 we have 1^2 + 1 = 2. And when n = 2 we have 2^2 + 2 = 6. When n= 3 we have 3^2 + 3 = 12. When n = 4 we have 4^2 + 4 = 20. When n = 5 we have 5^2 + 5 = 30. When n = 6 = 6^2 + 6 = 42. And finally when n = 7 we have 7^2 + 7 = 56. So at n = 1, 2, ...7, ... Our values are = 2, 6, 12, 20, 30, 42, and 56. It is obvious that n is always an even number. Hence n^2 + n is always an even integer for all positive integers. 
When n = -1 we have (-1)^2 - 1 = 0 when n = -2 we have (-2)^2 -2 = 2. When n = -3 we have (-3)^2 - 3 = 6. When n = -4 we have (-4)^2 - 4 = 16 - 4 =12. When n =-5 we have (-5)^2 -5 = 20. When n = -6 we have (-6)^2 - 6 = 30. When n = (-7)^2 - 7 = 42. Hence n^2 + n is always even for all integers
4 0
4 years ago
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Vikentia [17]
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3 years ago
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3 0
4 years ago
Read 2 more answers
HELP HELP HELP HELP
Harrizon [31]

Answer:

62.8cubic units

Step-by-step explanation:

volume of a cylinder isπ×radius×radius×height.hope it helps.

4 0
3 years ago
Michelle measured the length of her forearm. It was 3/4 of a foot. How long is her forearm in inches?
timofeeve [1]

Answer:

The length of Michelle's forearm is 9 inches

Step-by-step explanation:

Remember that

1\ ft=12\ in

To convert feet to inches, multiply by 12

we know that

The length of Michelle's forearm was 3/4 of a foot

Convert to inches

Multiply the length in feet by 12

\frac{3}{4}\ ft=\frac{3}{4}(12)=9\ in

therefore

The length of Michelle's forearm is 9 inches

7 0
4 years ago
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