I believe eleven in total
1/6 5/6 4/5 3/5 2/5 1/5 3/4 1/4 2/3 1/3 1/2
14 20
---- = ----- cross multiply
3x x-5
14(x-5) = 3x (20)
14x - 70 = 60x
-14x -14x
-70 = 36x
/36 /36
-70/36 = x
or
-35/18 = x
Answer: Positive Quadratic
Step-by-step explanation: A positive quadratic will have a minimum value, whereas a negative quadratic will have a maximum value
B. 0.930 ~Apex ;) .....................................
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
