Answer:
X will be the number.
5 times that number X is 5X
2 less than 5 times the number is 5X - 2
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Answer:
1/2 or 0.5
Step-by-step explanation:
4x+8=10tothefirstpower x=1/2 or 0.5
Answer:
The velocity function is
.
The acceleration function is
.
When t = 44, the velocity is
.
When t = 44, the acceleration is
.
Step-by-step explanation:
We know that the position function is given by

Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.

Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.

The instantaneous velocity function is given by

The instantaneous acceleration function is given by

To find the velocity and acceleration when t = 44, we substitute this value into the velocity and acceleration functions


Answer:
a = -5
b = -1
m = -1
Step-by-step explanation:
Piecewise function:
f(x)= -5, x=0
f(x)= −x^2+3x+a, 0<x<2
f(x)= mx + b 2≤x≤3
The mean value theorem is applicable if f(x) is continuous on the entire closed interval [0;3] and differentiable on the entire closed interval [0;3].
To satisfied that at x = 0
:
−x^2+3x+a = -5
Then, a = -5
Derivative of −x^2+3x-5 is -2x + 3 and derivative of mx + b is m, at x = 2:
-2(2) + 3 = m
-1 = m
Replacing the functions at x = 2
:
−x^2+3x-5 = -x + b
−(2)^2+3*2-5 = -2 + b
-3 + 2 = b
-1 = b