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
The given function is,
.
Or, 
To find the inverse of a function, first step is to switch x and y. Therefore,
Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,
xy + 5x = 2y - 1
xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.
xy - 2y = -5x - 1 Subtract 2y from each sides.
y(x - 2) = -5x -1 Take out the common factor y.
Divide each sides by x-2.
So, 
Now when we will compare 
with 
then we will get a = -5, b = -1, c = 1 and d=-2
So, 
Hope this helps you!
Evaluate question answers
1. 6x7 -3
V
42 - 3
V
39
Answer
39
2. 2x6+3x7 - (-3)
V
12 + 21 - (-3)
V
12 + 21 + 3
V
36
Answer
36
3. 5 x (-3) +7 - 6
V
-5 x3+7 - 6
V
-15 + 7- 6
V
-14
Find the sum or difference answers
1. Simplify or expand
(16m 4 - 8m + 3) + (-7m4 - m2 - 8)
16m4 - 8m + 3 - 7m4 - m2 - 8
V
9m4 - 8m - 5 - m2
V
9m 4 - m2 - 8m - 5
Answer
9m 4 - m2 - 8m - 5
2. Simplify or expand
(3x2 - 5x + 9) + (2x2 + 9x -4)+ (7x- 11)
v
3x2 - 5x + 9+ 2x2+9x - 4+7x-11
V
5x2 + 11x - 6
Answer
5x2 + 11x - 6
3. Simplify or expand
(3y2 - y - 6) - (42 + 5y+ 3)
V
3y2 - y - 6 - 4y2 - 5y - 3
V
-y2 - 6y - 9
Answer
-y2 - 6y - 9
4. -7 -2+2x2+ 9x
2 Simplify or expand
-7 - 2+2x2+9x
V
-9 + 2x2 + 9x
V
2x2 + 9x - 9
Answer
2x2 + 9x - 9
Just multiply both dimensions by 2 to make it into centimeters.
Therefore,
4*2 x 5*2 (in inches) will be:
8cm x 10cm (in centimeters)
We conclude that the dimensions of her postcard into a graphic on her web page will be 8x10 in centimeter units.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
a) We know that the probability Jane will win is 0.2, and draws is 0.3, which leaves the probability of her losing to be 0.5 (1 - 0.2 - 0.3 = 0.5).
I'll begin by filling in for the first game:
win = 0.2, draw = 0.3, lose = 0.5
Next, we'll fill in for if she wins, draws, or loses the second game. The probabilities would be the same as the first game for the second game.
Win (0.2): win = 0.2, draw = 0.3, lose = 0.5
Draw (0.3): win = 0.2, draw = 0.3, lose = 0.5
Lose (0.5): win = 0.2, draw = 0.3, lose = 0.5
b) To find the probability that Jane will win both games, we need to multiply the probability of Jane winning the first game by the probability of her winning the second game.
0.2 x 0.2 = 0.04
Hope this helps! :)
