Answer:
The mean slope on the interval is 68
Step-by-step explanation:
The formula to find the mean slope on an interval [a, b] is given by:

So now, we are going to find f(10) and f(-4) and will substitute these values in the formula.

So the mean slope of the function on the interval [-4,10] is:

Answer:
OPTION A:
, where
.
Step-by-step explanation:
Given: 
Taking
common outside in the denominator, we get:

will get cancelled on the numerator and denominator, we get:

we know that the denominator can not be zero.
That means, 1 + 8x
0.


So, the answer is:
, where
.
Sum of a number, x and 4 all divided by 3
sum of x and 4 means x+4
all divided by 3

evaluate for x=5



it's 3
Answer:
±5sqrt(6)/6 = m
Step-by-step explanation:
4/9 = m^2-1/54
Add 1/54 to both sides
4/9+ 1/54 = m^2-1/54 +1/54
4/9+ 1/54 = m^2
Get a common denominator of 54
4/9 *6/6 + 1/54 = m^2
24/54 + 1/54 = m^2
25/54 = m^2
Take the square root of each side
±sqrt(25/54) = sqrt(m^2)
±sqrt(25/54) = m
±sqrt(25)/sqrt(54) = m
±sqrt(25)/sqrt(9)sqrt(6) = m
±5/3sqrt(6) = m
±5/3sqrt(6) *sqrt(6)/sqrt(6) = m
±5sqrt(6)/3*6 = m
±5sqrt(6)/6 = m