Answer:
A
Step-by-step explanation:
plug in y and x, if you want to be sure of each answer
In the case of A) here are the 2 equations, y-2=x+4 and 3x+4=x+6
now plug in what a describes
x=1, y=7
7-2=1+4 and 7=7
Therefore the answer is A
The answer is 16 different combinations. All you do is multiply all the numbers of different results.
Hope this helps!! :)
Answer:
0.25
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The distance of a run compared with the number of times around a track.
The question asks for what is most likely to have a constant rate of change. This means that for every x, there is about the same y, as a constant rate of change means that there is a consistent slope, which is the x and y value. In real world terms, it means that you can expect every one value to change however much without changing randomly.
For example, when you buy a pizza, you expect a pizza to get you 8 slices. When you get two, you expect to get 16, 3 gets you 24 slices, and so on. This expectation is based off the constant rate of change, as you get 8 slices for each pizza. The slices would be modeled as y and the pizza would be modeled as x in mathematical terms in this situation.
Because we know that the track's distance doesnt change with every lap, we can expect it to have a constant rate of change. This concept is the same as the pizza as discussed earlier. Every lap would get her a certain amount of miles, and every other lap would increase the same amount.
Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
