Answer:
0
Step-by-step explanation:
h(x) = -16x^2 + 32x
Let x= 2
h(2) = -16(2)^2 + 32(2)
= -16(4) +64
=0
Answer:
i thinks its -1/2
Step-by-step explanation:
Answer:
Spreadsheet values
- B3 = $15 (shown)
- C4 = $420 (shown)
- D6 = $272.5
- E4 = $6
- F2 = $16
- F6 = $5
Other values
- profit maximizing Q: 35
- profit maximizing P: $13
- maximum profit: $227.5
Step-by-step explanation:
Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.
a) The relationship between quantity, price, and revenue is ...
total revenue = quantity × price
price = (total revenue)/quantity
Then ...
- B3 = 375/25 = 15 (as shown)
- C4 = 30×14 = 420 (as shown)
__
b) The relationship between total cost and marginal cost is ...
mc2 = (tc2 -tc1)/(q2 -q1)
tc2 = (mc2)(q2 -q1) +tc1
Then ...
- D6 = 9(40 -35) +227.5 = 272.5
- E4 = (192.5 -162.5)/(30 -25) = 6
__
c) Marginal revenue is figured the same way as marginal cost.
mr2 = (r2 -r1)/(q2 -q1)
Then ...
- F2 = (320 -0)/(20 -0) = 16
- F6 = (480 -455)/(40 -35) = 5
__
d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity is 35, where both marginal cost and marginal revenue are 7.
__
e) The price at a quantity of 35 is 13. This value is read from the given table.
__
f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:
maximum profit = 455 -227.5 = 227.5
Answer:
1. Percent
2. Number
Step-by-step explanation:
Answer:
f inverse of x is equal to 3 to the power of the quantity x plus 6 end quantity minus 5 all over 4
Step-by-step explanation:
The function 
can be thought of as a series of steps, one operation at a time:
Start with x
Multiply by 4
Add 5
Take the 
Subtract 6
That gives you a function value 
.
To get the inverse function, read that list from the bottom up (in reverse order, using inverse operations at each step).
Start with x (a bit confusing, because this x represents the function value you get at the end of the above list).
Add 6 (add is the inverse operation of subtract)
Raise 3 to the ... 
Subtract 5
Divide by 4
Let's test this out. Find f(1).
Now put -4 into the inverse function.
The final result is the number we started with when we put 1 into <em>f</em>(<em>x</em>).
Finding an inverse is reversing the action of the function <em>f</em> by doing inverse operations in "backwards" order.
A lot of authors have you do this by switching x and y in the formula for a function, then solving for <em>x</em>.
