The answer is <span>y = 2x3 + 4x2 – x + 5 and y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1
Proof:
Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9
Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0
Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1
Divide both sides by 2:
Answer: x = 1 or x = -4 or x = -1/2
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Answer:
Step-by-step explanation:
Let x be the amount at 5%
Then 2200 - x is the amount at 3%
<u>The total interest is:</u>
- 0.05x + (2200 - x)*0.03 = 78.50
- 5x + (2200 - x)*3 = 7850
- 5x + 6600 - 3x = 7850
- 2x = 7850 - 6600
- 2x = 1250
- x = 625
<u>Find the amount at 3%:</u>
Answer:
Yes, C is correct.
Step-by-step explanation:
Answer:
ye
Step-by-step explanation: