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andrew-mc [135]
3 years ago
11

Which expression is equivalent to the given polynomial expression?

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

C. -31m⁴n - 8m²

Step-by-step explanation:

Given:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Required:

Determine an expression equivalent to it

Solution:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Distribute the negative sign to open the parentheses

9mn - 19m⁴n - 8m² - 12m⁴n - 9mn

Combine like terms

9mn - 9mn - 19m⁴n - 12m⁴n - 8m²

-31m⁴n - 8m²

Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

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Jerome bought a sweater that was on sale for 20 percent off. Jerome paid $25.10 for the sweater, including sales tax of 8.25 per
Over [174]
Let the original price of the sweater be = X
Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100)
                                                                                                           = X - 0.2X
                                                                                                            = 0.8X
Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome.
So,
0.8X + [(8.25/100) * (0.8X) = 25.1
This is the equation from which the actual price of the sweater bought by Jerome can be determined.
So
0.8X + [(.0825) * ( 0.8X) = 25.1
0.8X + 0.066X = 25.1
0.866X = 25.1
X = 25.1/0.866
   = 28.98
So the actual price of the sweater is $28.98.
8 0
4 years ago
What value of x makes this equation true?<br> 5-2(x + 8) = 6x + 7
zhuklara [117]

Answer:

x = negative 9/4

Step-by-step explanation:

-2x-11=6x+7

-2x-11+11=6x+7+11

-2x=6x+18

-2x-6x=6x+18-6x

-8x=18

4 0
3 years ago
Which of the following is the best answer to 4/5 minus 2/3
ella [17]

Answer:

2/15

Step-by-step explanation:

4/5-2/3 = 12/15-10/15 = 2/15

So 2/15 is your answer

6 0
4 years ago
Read 2 more answers
Jakob simplified the expression as shown.
Flauer [41]

Answer:

He simplified the x coefficients incorrectly

Step-by-step explanation:

5 0
3 years ago
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The product of two consecutive odd integers is 255. Find the integers.
Grace [21]

Answer:

255 5,6 7,78

Step-by-step explanation:

5 0
3 years ago
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