Answer: 3rd graph
Explanation: In order to determine which graph shows a downward or negative slope, we need to be able to look at each of the graphs and determine which line is decreasing when going from left to right.
Notice that the 3rd graph is the only graph with a downward
or negative slope which means that this is our answer.
Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
Answer:
B) [1, 4, 7]
Step-by-step explanation:
Substitute 0 in
f(0) = 3(0) + 1
Multiple
f(0) = 0 + 1
f(0) = 1
Substitute 1 in
f(1) = 3(1) + 1
f(1) = 3 + 1
f(1) = 4
Substitute 2 in
f(2) = 3(2) + 1
2 = 6 + 1
f(2) = 7
Answer:
2y = -x + 7
Step-by-step explanation:
y = -1/2x + 7/2 (Multiply by 2)
2y = -x + 7
