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Karo-lina-s [1.5K]
3 years ago
14

Lebron James and Steph Curry went up against each other in the NBA finals. Lebron scored 2 points every 3 minutes, and Curry sco

red 5 points every 8 minutes. How many points did each player score in 48 minutes, so who had the bettescoring rate?
Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

curry would have more

Step-by-step explanation:

the reason is because if you divide 3 by 2 it give you 1.5 you multiple that by 48 which is 72 and then you do the same thing to curry and curry approximately 77 points in 48 minutes

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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
HACTEHA [7]

Answer:

A) Revenue function = R(x) = (580x - 10x²)

Marginal Revenue function = (580 - 20x)

B) Fixed Cost = 900

Marginal Cost function = (300 + 50x)

C) Profit function = P(x) = (-35x² + 280x - 900)

D) The quantity that maximizes profit = 4

Step-by-step explanation:

Given,

The Price function for the cake = p = 580 - 10x

where x = number of cakes sold per day.

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

where x = number of cakes sold per day.

Please note that all the calculations and functions obtained are done on a per day basis.

A) Find the revenue and marginal revenue functions [Hint: revenue is price multiplied by quantity i.e. revenue = price × quantity]

Revenue = R(x) = price × quantity = p × x

= (580 - 10x) × x = (580x - 10x²)

Marginal Revenue = (dR/dx)

= (d/dx) (580x - 10x²)

= (580 - 20x)

B) Find the fixed cost and marginal cost function [Hint: fixed cost does not change with quantity produced]

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

The total cost function is a sum of the fixed cost and the variable cost.

The fixed cost is the unchanging part of the total cost function with changing levels of production (quantity produced), which is the term independent of x.

C(x) = 900 + 300x + 25x²

The only term independent of x is 900.

Hence, the fixed cost = 900

Marginal Cost function = (dC/dx)

= (d/dx) (900 + 300x + 25x²)

= (300 + 50x)

C) Find the profit function [Hint: profit is revenue minus total cost]

Profit = Revenue - Total Cost

Revenue = (580x - 10x²)

Total Cost = (900 + 300x + 25x²)

Profit = P(x)

= (580x - 10x²) - (900 + 300x + 25x²)

= 580x - 10x² - 900 - 300x - 25x²

= 280x - 35x² - 900

= (-35x² + 280x - 900)

D) Find the quantity that maximizes profit

To obtain this, we use differentiation analysis to obtain the maximum point of the Profit function.

At maximum point, (dP/dx) = 0 and (d²P/dx²) < 0

P(x) = (-35x² + 280x - 900)

(dP/dx) = -70x + 280 = 0

70x = 280

x = (280/70) = 4

(d²P/dx²) = -70 < 0

Hence, the point obtained truly corresponds to a maximum point of the profit function, P(x).

This quantity demanded obtained, is the quantity demanded that maximises the Profit function.

Hope this Helps!!!

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2 years ago
PLEASE HELP! POINTS!<br><br><br> Graph y =  – 4/3x + 1
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I'm kind of thrown off for that negative sign, but I try it out in the one that makes sense is this one [ https://gyazo.com/192a76e70d2d46979691cabbf06e6c85 ] If you can better of explain where the negative sign will be great. Hope I helped. 
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Tara started reading at 8:50 A.M. and stopped reading at 11:05 A.M. How long did Tara read?
Gwar [14]
She read 3 hours and 15 minutes.

Hope this helps!
5 0
2 years ago
What best describes the graph of y = -|x+1| - 5
kkurt [141]

Answer:

Last one

Step-by-step explanation:

The minus infrot makes it open Down

Its x-... So it - 1

The other number keeps the -

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1 year ago
36, ___, ___, 32/3 is a geometric sequence, with some terms missing. First, please solve for "r", the common ratio between each
Ksju [112]

Answer: r = 2/3

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 36

The 4th term is 32/3

n = 4

Therefore,

T4 = 32/3 = 36 × r^(4 - 1)

32/3 = 36 × r^3

Dividing both sides if the equation by 36, it becomes

32/3 × 1/36 = r^3

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Taking cube root of both sides of the equation, it becomes

(8/27)^1/3 = r^3 × 1/3

r = 2/3

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3 years ago
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