Hey there!!
The graph B is not a function as it doesn't pass the vertical line test, as there are two x values repeating.
We do not want value x repeating, if it does, it is not considered to be a function anymore.
Hope my answer helps!
Answer:
-11 + -13+ -15= -39
Step-by-step explanation:
sum means to add together
Answer:
29*sqrt(5)
Step-by-step explanation:
Start with sqrt (45). You must reduce it to it's prime factors.
45: 9 * 5 9 is not prime so reduce it.
45: 3 * 3 * 5
When you write √45, you should replace it with √(3*3*5)
The rule is
Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away.
Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.
√45 = 3√5
11sqrt(45) - 4 sqrt(5) Substitute for 45
11*3*sqrt(5) - 4sqrt(5) Take out sqrt(5) using the distributive property.
(11*3 - 4)*sqrt(5) Combine 11 * 3
(33- 4) * sqrt(5) Do the subtraction
29 * sqrt(5) Answer
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)
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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
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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
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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.
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e) The price at a quantity of 35 is 13. This value is read from the given table.
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f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:
maximum profit = 455 -227.5 = 227.5
= 4
= -6
HOPE THIS HELP ^_^
