Answer:
15 2/3, or 47/3
Step-by-step explanation:
I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5. Double check on this right now, please.
If I'm right, then evaluate f(x) at x = 0 and x = 8:
f(0) = 5
and
f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133 - (2 2/3), or: 130 1/3
Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:
130 1/3 - 5 125 1/3
a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3
8 - 0 8
Answer: 40
Step-by-step explanation: -5 x -8 is 40 since the negatives cancel each other out, the product is positive :)
Answer: 5 2/6
Step-by-step explanation: 3 5/6 + 1 3/6 = 5 2/6 because you need to add the pie wholes,(3 + 1) and then you have the fractions, 5/6 + 3/6. So since all you need to make another whole is 1/6 you take it away from 3/6 and give it to 5/6 so now you have another whole. 4 wholes plus 1 new whole is 5 wholes. Since you took 1/6 away from 3/6 you now have 2/6. So 5 wholes and 2/6 were sold.
3 5/6 + 1 3/6 =
3 + 1= = 4
5/6 + 1/6 = 1
3/6 - 1/6 = 2/6
4 + 1 = 5
5 + 2/6 = 5 2/6
Answer:
y = -1x - 6
Step-by-step explanation:
Hi!
The format of the equation of a line is y = mx + b
m is the slope and b is the y-intercept
We just need to substitute in the values you gave for the variables and we get the answer,
Here we must write and solve a linear equation to find the number of miles that Arun traveled in the taxi. We will find that Eva traveled 11 miles.
So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.
So if you travel for m miles, the cost equation is:
C(m) = $4.10 + $0.50*m
Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:
$9.60 = C(m) = $4.10 + $0.50*m
$9.60 = $4.10 + $0.50*m
$9.60 - $4.10 = $0.50*m
$5.50 = $0.50*m
$5.50/$0.50 = m = 11
This means that Arun traveled 11 miles in the taxi.