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nlexa [21]
2 years ago
10

What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?

Mathematics
1 answer:
agasfer [191]2 years ago
7 0

Answer:

​x​³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x​³ + 9x² + 16x - 6.

Hope this helps!

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Karen spent all but $8 of her savings in three stores. In each store she spent $2 less than half of what she had when she went i
maksim [4K]

Answer:

36 dollars

Step-by-step explanation:

We need to think backwards to solve this question.

(8 - 2) x 2 = 12

(12 - 2) x 2 = 20

(20 - 2) x 2 = 36

5 0
3 years ago
Justin is 2 years older than one third Marcella’s age. Aimee is 5 years younger than 2 times Justin’s age. Define a variable and
KIM [24]

Answer:

Step-by-step explanation:

J = (1/3)M + 2 <=== ur expression would be : (1/3)M + 2

A = 2J - 5

if marcella is 63....

J = (1/3 * 63) + 2                              A = 2J - 5

J = 63/3 + 2                                    A = 2(23) - 5

J = 21 + 2                                        A = 46 - 5

J = 23 <== justin's age                   A = 41 <=== Aimee's age

4 0
3 years ago
Rent a truck charges a daily rental of 39$ plus 0.16$ per mile. a competing agency, ace truck rentals, charges 25$ a day plus 0.
charle [14.2K]
39 + 0.16m = 25 + 0.24m
39 - 25 = 0.24m - 0.16m
14 = 0.08m
14 / 0.08 = m
175 = m <=== they will cost the same at 175 miles

39 + 0.16(175) = 39 + 28 = $ 67
25 + 0.24(175) = 25 + 42 = $ 67
they will both cost $ 67 <=====
3 0
3 years ago
The area of a circle is 2464cm2.calculate it's diameter to 2 significant figures<br>​
tigry1 [53]

Answer:

hi

Step-by-step explanation:

Answer:

The diameter of the circle is 56 cm.          

Step-by-step explanation:

Given : The area of the circle is 2464 cm square.

To find : The diameter of the circle?

Solution :

The area of the circle is defined as

Where, A=2464 cm² is the area,

r is the radius

Substituting the values,

Radius of the circle is 28 cm.

The diameter of the circle is  

Therefore, The diameter of the circle is 56 cm.

3 0
3 years ago
What is 6 divided by 1/3
-BARSIC- [3]
6 / 1/3 = 18

Hope I helped!

~ Zoe
7 0
4 years ago
Read 2 more answers
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