Answer:
x = 3
Step-by-step explanation:
8 - 2x = 2
- 2x = 2 - 8
- 2x = - 6
- x = - 6/2
- x = - 3
x = 3
Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
If 9/10 tons of gravel got spread over 3 feet, then how much gravel is on each foot? Well, it's a ratio.
9/10 tons : 3 ft
So, we divide each side of the ratio by 3.
3/10 tons : 1 ft.
So, that 3/10 tons of gravel on each foot of road.
Simplify
9x^3 - 4x + 10 + x^3 + 10x - 9
Collect like terms
(9x^3 + x^3) + (-4x + 10x) + (10 - 9)
Simplify
<u>10x^2 + 6x + 1</u>
29-11=18
18²+18²=p²
324+324=p²
p²=648
p=18√2
That's your answer.
