Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4
Option d is correct.
Step-by-step explanation:
We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.
Writing in mathematical form:
Solving:
Factorizing the numerator:
So simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4
Option d is correct.
Keywords: Simplifying Expressions
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The equation is 4 meatballs for every adult and 3 for every child. Replace a and c and solve:
M = 4(20) + 2(8)
M = 80 + 16
M = 96
They need 96 meatballs.
Answer:
x = -34
, y = 31
Step-by-step explanation suing Gaussian elimination:
Solve the following system:
{2 x + 3 y = 25
3 x + 4 y = 22
Express the system in matrix form:
(2 | 3
3 | 4)(x
y) = (25
22)
Write the system in augmented matrix form and use Gaussian elimination:
(2 | 3 | 25
3 | 4 | 22)
Swap row 1 with row 2:
(3 | 4 | 22
2 | 3 | 25)
Subtract 2/3 × (row 1) from row 2:
(3 | 4 | 22
0 | 1/3 | 31/3)
Multiply row 2 by 3:
(3 | 4 | 22
0 | 1 | 31)
Subtract 4 × (row 2) from row 1:
(3 | 0 | -102
0 | 1 | 31)
Divide row 1 by 3:
(1 | 0 | -34
0 | 1 | 31)
Collect results:
Answer: {x = -34
, y = 31
1.) The answer is 825.75 (multiply the given tax rates to the gross pay)
2,785 x 13% federal taxes = 362.05
2,785 x 9% state tax = 250.65
2,785 x 7.65% FICA = <u>213.05
</u> 825.75
<u>
</u>2.) The answer is 288.60 (multiply the interest rate to the balance, no need to add a late payment fee since they paid on 6/1, not after)
2,748.56 x 10.5% = 288.60
3.) The answer is 182.13 (multiply the APR to the original purchase price, no need to add the sales tax)
<u /> 1,500 x 11.75% = 182.13
4.) The answer is 371.92 (deduct the reward to the interest)
Interest : 2,975.34 x 13.5% = 401.67
Reward : 2,975.34 x 1% = <u> 29.75</u>
371.92
5.) The answer is 1,339.13 (deduct the interest to the monthly payment)
Monthly payment : 2,236.00
Monthly interest : <u> 896.87</u> [(231,450 x 4.65%) / 12 months]
<u /> 1,339.13
Hope this helps! :)
