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jenyasd209 [6]
3 years ago
13

Please help me with this problem​

Mathematics
1 answer:
eimsori [14]3 years ago
6 0

Find the equation of the first line using the two given points: (1,-1) (-1,-5)

Slope = change in Y over change in x:

Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2

Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)

Simplify to get y = 2x-3

Now a perpendicular line has a opposite reciprocal slope.

The perpendicular line would be y = -1/2x - 3

You are told the y intercept is -4 units greater, so add -4 to -3 to get -7

The answer would be A. y = -1/2x-7

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Note that 7 represents each of the different 7 regions in the spinner. 

1 would represent the red region, as there is one red region.

4 would represent the 4 green regions. Thus, 2 represents the 2 blue regions.



Note that as the spinner spins, no matter which region is colored with which color, the probability of hitting a blue region is \displaystyle{  \frac{2}{7}, as out of 7 regions we can hit, 2 are blue.

(Naturally enough, the greater the number of regions of a certain color, the greater the probability of hitting a region of that color.)


7 is the number of the elements in the sample space.

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3 years ago
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2 years ago
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19. The cost function of a product is C(Q) = 3Q² +8 and the demand function of the same product is P =1/3 Q² — 10Q + 105, where
Kamila [148]

The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

<h3>What is a marginal cost?</h3>

It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.

We have a cost function of a product:

C(Q) = 3Q² +8

a) To find the marginal cost to differentiate it with respect to Q and plug

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C'(Q) = 6Q

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b) R(Q) = P×Q

\rm R(Q) = (\dfrac{1}{3} Q^2 - 10Q + 105)Q

\rm R(Q) = \dfrac{1}{3} Q^3 - 10Q^2 + 105Q

R'(Q) = Q² - 20Q + 105

Plug Q = 4

R'(Q) = (4)² - 20(4) + 105

R'(Q) = 41

c) Marginal profit:

MP(Q)  = R(Q) - C(Q)

After calculating:

\rm MP(Q)  = \dfrac{1}{3}Q^3-13Q^2+105Q-8

MP'(Q) = Q² - 26Q + 105

Plug Q = 4

MP'(Q) = 16 - 104 + 105 = 17

Similar, we can find the maximum profit.

Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

Learn more about the marginal cost here:

brainly.com/question/7781429

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3 0
1 year ago
In rectangle KLMN, KM = 10x+24 and KN = 64 find x
pishuonlain [190]
Hi there, I don't know if I am right but I will try to solve this, 10x+24=64, subtract 24 from both sides, 10x+24-24=64-24=10x=40, divide both sides by 10, 10x/10=40/10, x=4
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Solve 5a - 4a = -9 - 8a
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5a - 4a = -9 - 8a
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