Answer:
- g(5x) = 0
- x = -10
Step-by-step explanation:
Do what your instructions say: read the graph and solve.
1. In order to find x, you look for the point where g(x) is 4. That point is found where x = -2. (See the first attachment.)
Then 5x = 5·(-2) = -10. To answer the question, you need to find the value of g(-10). Look where the graph crosses the vertical line at x=-10. It is at y=0, so ...
... g(5x) = g(-10) = 0
2. You already found the answer to this when looking for the answer to the first question. g(x) = 0 when x = -10. (See the second attachment.)
Answer:
216
Step-by-step explanation:
The mathematical expression is
5x = 1/4
Divide:
x = (1/4)/5 = (1/4)*5 = 5/4 (ANSWER)
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Inverse Property, I am pretty sure. Not sure though.
