Answer:
Step-by-step explanation:
First, you have to substitute both functions into the equation to get:
Then, you distribute the negative sign in front of g(x) to get:
And finally, you add/subtract the x's that have the same power to get:
There are 8! ways to arrange the 8 letters. Due to the repeated L (3×) and A (2×), only one out of (2!)(3!) = 12 of these is unique.
The number of unique arrangements is 8!/(2!*3!) = 3,360
Answer:
f(x) = -4x + 20
Refer attachment for graph.
Step-by-step explanation:
Given: when Zane was 20 meters below the edge of a volcano. He heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely.
We have to graph Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds).
Let he takes x seconds to get out of the volcano.
and y be the distance covered by the volcano to reach Zane.
Then, to reach the edge of volcano,
Thus, The equation that represent Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds). is given by
f(x) = -4x + 20
At x = 0 the Zane will be at f(0) = 20 that is 20 meter below the volcano.
Thus points are (0,20)
and when x = 5 Zane will be escaped from volcano.
Thus points are (5,0)
Plot this and obtained the graph for the given equation as attached below.
Answer:75
Step-by-step explanation:First isolate x by getting rid of the 100 so the equation becomes 3x=x +150 then you subtract x From both sides so it’s 2x=150 then divide by two on both sides so you get X = 75