Answer:
y = 4x^2 + 5 has the narrowest graph.
Step-by-step explanation:
The larger the coefficient of x^2 is, the narrower the graph will be. Thus:
y = 4x^2 + 5 has the narrowest graph.
Answer:
The ideal mechanical advantage (IMA) is 
.
Step-by-step explanation:
The ideal mechanical advantage is the ratio of length of longer lever 
to that of shorter lever 
IMA 
Please refer to the image attached.
We could see that the the resistance load moves 
cm towards the fulcrum so the distance of resistance load from fulcrum 
Now the as the effort force moves 
towards the fulcrum overall distance from the fulcrum to the effort force (load) 
Plugging the values of the distances in IMA formula we can have.
IMA 
.
So the IMA of the fulcrum (simple machine) 
Answer:
Step-by-step explanation:
Im not sure but i think the answer is b
I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet
For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.
For b), we find the vertex of y = -1/16x^2 + 4x + 3
y = -1/16x^2 + 4x + 3
y = -1/16(x^2 - 64x) + 3
y = -1/16(x^2 - 64x + 1024 - 1024) + 3
y = -1/16((x-32)^2 - 1024) + 3
y = -1/16(x-32)^2 + 64 + 3
y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.
For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
x = [ -b ± √b^2 - 4ac ] / (2a)<span>
x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))
x = -0.741, 64.741
Only the positive solution, so 64.741 feet </span>
