Answer:
7.14
Step-by-step explanation:
Minimum value is equal to x=8, y=-4
First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16
at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.
Just plug in 8 to the original equation to find the answer for the minimum value.
Please use " ^ " to indicate exponentiation: <span>y=−0.5x^2+8x
Examining this function, we see that its graph is a vertical parabola opening down.
You did not supply instructions for this problem.
However, one could guess that you might want to find the highest point of the grasshopper's path. To do this, find the vertex: Find the x value defined by
x = -b/(2a). Here, a= -0.5 and b= 8. Thus, the vertex is at x = -8/(2[-0.5]), or
x -8/(-1) = 8 units. The corresponding y value is then
y = </span><span>−0.5*8^2+8(8) = -0.5(64) + 64, or 32 units.</span>
It's 17.76 -------------------------------
Answer:
d=90 e=27 f=153
Step-by-step explanation:
since 90 is one half of 180 if d was any bigger or smaller the the information given would be incorrect.
e is 27 since vertical angles
f is 157 since a line is equal to 180 and since e is 27 you subtract 27 from 180
