Answer:
-3 is the value of k in g(x)=kf(x)
Step-by-step explanation:
Both functions cross nicely at x=-3 so I'm going to plug in -3 for x:
g(x)=kf(x)
g(-3)=kf(-3)
To solve this for k we will need to find the values for both g(-3) and f(-3).
g(-3) means we want the y that corresponds to x=-3 on the curve/line of g.
g(-3)=-3
f(-3) means we want the y that corresponds to x=-3 on the curve/line of f.
f(-3)=1
So our equation becomes:
g(-3)=kf(-3)
-3=k(1)
-3=k
So k=-3.
Check the picture below.
now, the "x" is a constant, the rocket is going up, so "y" is changing and so is the angle, but "x" is always just 15 feet from the observer. That matters because the derivative of a constant is zero.
now, those are the values when the rocket is 30 feet up above.

Answer:
106 ft
Step-by-step explanation:
Assuming the shadow is measured along horizontal ground.
tanθ =opp/adj = building height/shadow length
building height = shadow length(tanθ)
h = 61tan60
h = 105.65509...
70,000
Since 67 is closer to 70 than 60, you would choose 70. Insert 70 into the ten thousands place, and you get 70,000
hope this helps:)
Answer:
x=5
Step-by-step explanation:
its five because if you replace x with 5 you get 5*-3. which equals -15