Answer:
x = -9
Step-by-step explanation:
6x - 27 = 3x - 54
solve for x
subtract 3x from each side then add 27 to each side. lastly you should get
3x=-27
Divide both sides by 3 to get -9
The first thing we must do for this case is to complete the table.
We have then:
For f (x) = 2x + 24:
f (-2) = 2 (-2) + 24 = 20
f (-1) = 2 (-1) + 24 = 22
f (0) = 2 (0) + 24 = 24
f (1) = 2 (1) + 24 = 26
f (2) = 2 (2) + 24 = 28
For g (x) = 5 (0.5) ^ x:
g (-2) = 5 (0.5) ^ - 2 = 20
g (-1) = 5 (0.5) ^ - 1 = 10
g (0) = 5 (0.5) ^ 0 = 5
g (1) = 5 (0.5) ^ 1 = 2.5
g (2) = 5 (0.5) ^ 2 = 1.25
The table is:
x f(x) g(x)
-2 20 20
-1 22 10
0 24 5
1 26 2.5
2 28 1.25
f (x) = g (x) occurs for:
x = -2
Answer:
-2 20 20
-1 22 10
0 24 5
1 26 2.5
2 28 1.25
f (x) = g (x) ----> x = -2
Answer:
96
Step-by-step explanation:
The maximum height reached by the pebble modeled by the quadratic function,
, can be found by finding the vertex.
Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.
When comparing to , we see that:
We need to evaluate the following to find the t-coordinate of the vertex:
So now to find the correspond h(t)-coordinate, we will need to replace t in with 1:
A. g(x) = 3x^2 + 6
If you are stretching vertically, that is along the Y axis. The original +2 is the y-intercept, so you add 4 onto the equation where the y (vertical) will be placed.
Answer: x=2
Step-by-step explanation: