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Complete Question
The area A (in square feet) of the rectangular shed is given by 6x³+7x²+11x+21.And one side of the rectangular is 2x+3. Use polynomial long division to find an expression for the length (in feet) of the shed.
Answer:
3x² - x +7
Step-by-step explanation:
Using the long division method:
We have :
Divisor : 6x³+7x²+11x+21
Dividend : 2x+3
Quotient : the length (in feet) of the shed = ???
Hence, we solve below
6x³+7x²+11x+21 ÷ 2x + 3
3x² -x + 7
______________________
2x+3 l 6x³+7x²+11x+21
6x³+9x²
__________
-2x²+11x
-2x²-3x
__________
14x+21
14x+21
_______
0
Therefore, an expression for the length (in feet) of the shed is 3x² - x +7
y = -1 + 3/8x
2x - 5y = 6
Substitute the first equation into the second equation, since y is already by itself.
2x - 5(-1 + 3/8x) = 6
2x + 5 - 15/8x = 6
2x - 15/8x = 1
16/8x - 15/8x = 1
1/8x = 1 Multiply 8 on both sides to get x by itself
x = 8
Plug x into either of the equations.
y = -1 + 3/8(8)
y = -1 + 3
y = 2
2(8) - 5y = 6
16 - 5y = 6
-5y = -10
y = 2
(8,2)
Answer:
Each CD cost 12.90 before tax
Step-by-step explanation:
41.10-2.40=38.7
38.7/3=12.90
Y=180-111=69
x=360-123-70-69=98
That's your answer.
