Answer:
f(t) = 4 - 3t + 2t^2
Step-by-step explanation:
Given:
f(t) = a + bt + ct^2
Differentiate w.r.t. "t"
f'(t) = b + 2ct
1) f(1) = 3
a + b +c = 3...........1)
2) f(2) = 6
a + 2b + 4c = 6.........2)
3) f'(1) = 1
b + 2c = 1 ...............3)
Solving above three simultaneous equations:
a = 4
b = -3
c = 2
Therefore equation becomes:
f(t) = 4 + (-3)t + (2)t^2
1 mile is 5280 feet, therefore, we have 60 miles, and each mile is 5280 feet, so we multiply 5280 and 60, you get the answer of 316,800 feet.
Answer:
x=25
Step-by-step explanation:
(x+40)+(3x+10)=6x
4x+50=6x
50=2x
25=x
Answer:
y = m x + b is the standard form of a straight line
m = (y2 - y1) / (x2 - x1) = (10 - (-8)) / (-3 - 0) = 18 / -3 = -6
When x = 0 y = b from the equation for a line
y = - 8
So our equation is
y = -6 x - 8
As a check let x = -2 then
y = (-6 * -2) - 8 = 12 - 8 = 4
Check on the graph to verify that this equation holds
