f(g(-1)) = - 3
Evaluate g(-1) and substitute into f(x)
g(-1) = (-1)² -7(-1) - 9 = 1 + 7 - 9 = - 1
f(g(-1)) = (-1) - 2 = - 3
Y = 2x +13
We know the slope to be 2 because lines that are parallel have the same slope. Then we can solve using slope-intercept form and the known point.
y = mx + b ----> Input known values
7 = (2)(-3) + b ---> Multiple
7 = -6 + b ----> Subtract 3 from both sides
13 = b
Now we can use the y-intercept found and the slope to write the equation above.
5/6, use this method next time another question comes up
Answer:
The discount is $49.90 the final price is $449.10
Step-by-step explanation:
Answer:
360,360
Step-by-step explanation:
So we only have 5 spots, but 15 bands to fill those spots.
For the first spot, we can choose from any of the 15 bands, so we have 15 choices.
For the second spot, we can choose from the 14 remaining bands (because we already chose one for the first spot), so we have 14 choices.
For the third spot, by similar reasoning as above, we have 13 choices; for the fourth spot, 12 choices; and for the last spot, we have 11 choices.
We realize that for each of the 15 possible bands in the first spot, we still have 14 possible bands for the second spot, and so on. Thus, we know to multiply instead of add.
Our answer is: 15 * 14 * 13 * 12 * 11 = 360,360
