Answer:
A ( -2 , 9 )
Step-by-step explanation:
<u>Idea:</u> You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.
f'(x) = 3x^2 + 12x + 20
f'(x) = 8
3x^2 + 12x + 20 = 8
3x^2 + 12x + 12 = 0
3 ( x^2 + 4x + 4 ) = 0
3 ( x + 2 )^2 = 0
x + 2 = 0
x = -2
So, the desired point is:
A ( -2, f(-2) ) --> A ( -2 , 9 )
We can round numbers to estimate.
337 is approximately 340.
103 is approximately 100.
340 - 100 = 240
John needs to save around $240 more in order to be able to afford the bike.
Hope this helps!
2.65x + 2.50 = y
step by step explanation:
2.65 is how much for each mile, and the variable, x, represents the number of miles of the trip. so, we would do 2.65x to find out how much money you have to pay for the amounts of mile.
next, you would have to add the initial fee, which is 2.50. so 2.65x+2.50.
lastly, y represents the total cost of the trip. so, 2.65x + 2.50 = y
You would distribute each number. Then afterwards simplify what you have into standard form. Once you have it in standard form you use the quadratic formula. The end answers are 1 and 7
