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Rainbow [258]
3 years ago
9

In the image shown, line n is a transversal cutting parallel lines l and m.

Mathematics
1 answer:
jasenka [17]3 years ago
6 0

Answer:

Its 88

Step-by-step explanation:

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The production function f(x) gives the number of units of an item that a manufacturing com pany can produce from units of raw ma
makvit [3.9K]

Answer:

Step-by-step explanation:

Recall that the notion of the derivative of a function is the rate of change of it. So it kind of tells us how much the value of functioin changes as the independt variable increases or decreases. If it is positive, this means that the function will increase as the indepent variable increases, and if it is negative, that means that the function will decrease as the indepent variable increases.

a) Since f(x) is the number of units you can make out of x units of raw material, it is natural to think that the more material you have, the more units you can make, so we expect f'(x) to be positive.

b) The company buys each unit of raw material at the price w. So the product wx represents the total cost of the raw material used to produce f(x) units. Since each produced unit is sell at the price of p, then the product pf(x) represents the total income for selling all f(x) units.Recall that the profit is the difference between the total income and the total cost of production. Hence, the profit in this case is represented by the formula pf(x)-wx.

c) Recall that a function h(x) that is differentiable attains it's maximum when it's derivative is 0 and it's second derivative is negative.

In this case, we know that the derivative of the profit function, evaluated at x* must be 0, since it is a maximum. So, using the rules of derivation, we know that the derivative of the profit function is pf'(x)-w. Hence,

pf'(x*)-w =0. From where we know that f'(x*)=w/p.

5 0
3 years ago
29 les the product of 3 and x
yanalaym [24]

Answer:

9

Step-by-step explanation:

3 0
3 years ago
Write in exponential notation: 301=​
dalvyx [7]

Answer:

3.01 * 10^2

Step-by-step explanation:

=)

Hope this helps!

4 0
2 years ago
The employees of two companies were asked how many times they checked their email during weekends. The table below shows the num
tekilochka [14]
Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75

Q1 of company B = 2
Q3 of company B = 5.5
Interquatile range = (5.5 - 2)/2 = 3.5/2 = 1.75

Therefore, t<span>he interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.</span>
3 0
3 years ago
Read 2 more answers
The sum of twelve and a number is no greater than sum of twice the number and -8
Leona [35]
1. Write as an algebraic equation:

12 + n ≤ 2n - 8

2. Solve for n.

12 + n - 12 ≤ 2n - 8 - 12

n ≤ 2n - 20

n - 2n ≤ 2n - 20 - 2n

-n ≤ -20

Multiply both sides by -1 (this means you must flip the inequality sign).

n ≥ 20

FINAL ANSWER: n ≥ 20

Hope this helps! Feel free to ask for clarification.
7 0
3 years ago
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