Answer:
A= 12
B = -4
Step-by-step explanation:
( -3,0) & (0,9) should satisfy the equation Ax + By = -36
when ( -3,0)
-3A+ 0 = -36
A = 12
when (0,9)
0 + 9B = -36
B = -4
Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
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The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
Answer=I
15(x+3)+11x represents the total cost
To solve for this, let's look at the information that we know...
26 students go on the trip
15 students pay $3 more for an additional class (x+3)
26-15=11
11students pay, x, the price of the trip.
So 15(x+3) represents the 15 students who pay for both the trip and the automotive class, and 11x represents the students who simply just pay for the cost of the trip.
Thus, 15(x+3)+11x represents the scenario
The answer is (x+3)(x+5).
