6p^3-2p^2-8p
2p(3p^2-p-4)
2p(3p^2+3p-4p-4)
2p(3p(p+1)-4(p+1))
2p(p+1)(3p-4)
Answer:
Step-by-step explanation:
1) 2x + y = 3 -(1)
-3x + 2y = -8 -(2)
(1) x 2 => 4x + 2y = 6 -(3)
(3) - (2)
=> 4x + 2y + 3x - 2y = 6 + 8
=> 7x = 14
=> x = 2
=> 2(2) + y = 3
=> y = 3 - 4 = -1
2) 6x + 7y = -9 -(1)
-4x - 5y = 5 -(2)
(1) x 4 => 24x + 28y = -36 -(3)
(2) x 6 => -24x - 30y = 30 -(4)
(3) + (4)
=> 24x + 28y - 24x - 30y = -36 + 30
=> -2y = -6
=> y = 3
=> 6x + 7(3) = -9
=> 6x = -30
=> x = -5
3) -x - 7y = 9 -(1)
-x + 9y = -23 -(2)
(1) - (2)
=> -x - 7y + x - 9y = 9 + 23
=> -16y = 32
=> y = -2
=> -x - 7(-2) = 9
=> -x = -23
=> x = 23
4) -x + 9y = -5 -(1)
x - 5y = 1 -(2)
(1) + (2)
=> -x + 9y + x - 5y = -5 + 1
=> 4y = -4
=> y = -1
=> x - 5(-1) = 1
=> x = -5
5) -2x + y = 10 -(1)
4x + y = -14 -(2)
(1) - (2)
=> -6x = 24
=> x = -4
=> 4(-4) + y = -14
=> y = -14 + 16 = 2
Answer:
$208
Step-by-step explanation:
Jack has two jobs
The first one, he works at a gas station where he earns $11/hr, he works for 8 hours in a week
= 11×8
= 88
The second one he earns $120/week for walking dogs
Therefore the total money Jack earns in a week can be calculated as follows
= 120+88
= 208
Hene jack earns $208 in a week
Answer: The system forms the same line.
Step-by-step explanation:
3x - y = -2
-y = -3x - 2 (subtract 3x from both sides)
y = 3x + 2 (divide both sides by -1)
First equation: y = 3x +2
Second equation: y = 3x +2
THEY ARE THE SAME LINE —> there are infinitely many solutions.
