Answer:
The measure of the angle R is equal to the measure of angle T
Step-by-step explanation:
Y=10x+8
8 is the y intercept because it’s when x=0
Answer:
Maximum height is 7 feet
Step-by-step explanation:
Solution:-
- The complete question is as follows:
" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.
Find the greatest height of the rise "
- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.
- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.
f(x) = –0.07x^2 + 0.42x + 6.37
- Now set the first derivative equal to zero, and determine the critical values of x:
0 = -0.14x + 0.42
x = 0.42 / 0.14 = 3 ft
- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:
f ( x = 3 ) = max height
max height = –0.07*3^2 + 0.42*3 + 6.37
= 7 ft
Answer: a is 200e^.07t the answer to b is 402.75
Step-by-step explanation:
Because I got it wrong and it showed me the correct answers
Answer:
No
Step-by-step explanation:
By the Factor theorem
If (x - h) is a factor of f(x) then f(h) = 0
Here (x - 2) with h = 2 and f(x) = 4
+ 5
+ 1 , then
f(2) = 4
+ 5
+ 1
= 4(32) + 5(16) + 1
= 128 + 80 + 1
= 209
Since f(2) ≠ 0 then ( x - 2) is not a factor
