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.
Answer = 314.2
Area of cyclinder:
Area at base x height
Pi = 3.142
5^2 x 3.142 = 78.55
78.55 x 4 = 314.2
Answer:
The total number of sites are 15 .
Step-by-step explanation:
As shown in question.
The number of sites in 2 shield darter = 3
The number of sites in 3 shield darter = 1
The number of sites in 4 shield darter = 4
The number of sites in 6 shield darter = 2
The number of sites in 7 shield darter = 3
The number of sites in 8 shield darter = 1
The number of sites in 9 shield darter = 1
Thus
Total number of sites = Number of sites in 2 shield darter + Number of sites in 3 shield darter + Number of sites in 4 shield darter + Number of sites in 6 shield darter + Number of sites in 7 shield darter + Number of sites in 8 shield darter + Number of sites in 9 shield darter
Putting the values in above
= 3 + 1 + 4 + 2 + 3 + 1 +1
= 15
Therefore the total number of sites are 15 .
9. If they come in packages of 8 he needs 12 1/2
If they come in packages of 12 he needs 8 1/3
10. Equation: $9.25 - $4.50 - 3.50 = m
Answer: $1.25
8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
because, when you are adding 3/4
8 times, you are 3/4 plus itself,
eight times,
so you are doing 3/4*8