the function is given, and it's value is where the object is ("how far to the right").
so as long as it rises (going more right), this will be apply.
in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.
for the first 1.25 seconds the object goes to the left, and after that always to the right.
since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.
x(t) = 2t² – 5t – 18
x'(t) = 4t -5
x'(t) = 0
0 = 4t -5
5 = 4t
1.25 = t
plugging it into the second derivative
x''(t) = 4
x''(1.25) = 4
it's positive, so at t=1.25 there is a low point
(of course the second derivative is constant anyways.)
the object is traveling toward the right
the object is traveling toward the rightfor t > 1.25
Answer:
3.29
Step-by-step explanation:
-7x-3(-5)=-8
-7x+15=-8
-15 -15
-7x=-23
/-7 /-7
x=3.29
Answer:
10 and 11
Step-by-step explanation:
Let the first integer be x.
Then the next one, since it's consecutive, must be (x+1).
The two equals 21. Thus:

Combine like terms:

Subtract 1 from both sides:

Divide both sides by 2:

So, the first integer is 10.
And the second integer is 10+1=11.
Answer:
(-1,4)
Step-by-step explanation:
For x the midpoint between -2 and 0 is -1
for y the midpoint between -1 and 9 is 4
The volume of a cone is V=1/3*pi*r^2*h
Since the value of r is 6 and the value of h is 8, we get:
V=1/3*pi*6^2*8
V=1/3*pi*36*8
V=12*pi*8
V=96pi
V=301.5928947
So the exact volume of the cone is 301.5928947 m^3
The approximate value of the volume rounded to the nearest tenth is 301.6 m^3