Answer:

Step-by-step explanation:
The equation that will model this situation will be of the form
where
is the time in hours john has traveled since the gas station, and
is the distance.
Now we know that John has already traveled 20 miles when he is at the gas station, this means at
,
; or


Thus we have
.
Now we need to figure out 
When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have


Now we have the full equation:

It would be 9x^3+6x^2+12x+8
Answer:



Step-by-step explanation:
Given
The attached figure


Solving (a): EF
Since m is a perpendicular bisector, then <EGF and <EGH are right-angled.
So, EF will be calculated using Pythagoras theorem which states:




Take the positive square roots of both sides


Solving (b): GH
Since m is a perpendicular bisector, then GH = FG



Solving (c): EH
Since m is a perpendicular bisector, then EH = EF



From my understanding your asking what 20% of $48 is.
in that case it would be $9.60
The position of the ball when it is at its highest point is 121
<h3>Polynomial function</h3>
Given the polynomial function expressed as y = -1/250(x - 175)^2 + 121,
The velocity of the ball at the maximum point is zero. Hence;
dy/dx = -1/125(x-175)
Equating to zero;
0 = -1/125(x - 175)
x = 175
Substitute into the function to get the maximum height
y = -1/250(175 - 175)^2 + 121,
y = 121
Hence the position of the ball when it is at its highest point is 121
Learn more on polynomial function here: brainly.com/question/2833285