3 years ago

How many more students were enrolled at the University of Michigan in 1950 than in 1900

Mathematics

1 answer:

zavuch27 [327]3 years ago

4 0

Well to be very accurate and clear the answer I must choose is a lot

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When the absolute value of the slope gets bigger, the graph of a line gets _____.

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A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y? y=

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Answer:

Step-by-step explanation:

To solve this , we use the equation of finding a slope wig a line.

m = (y2 - y1)/(x2 - x1)

From the question, we know that:

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x2 = 3

y1 = 2

x1 = 1

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3 years ago

A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven

Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y) = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$ .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$ .............(ii)

Solving (i) and (ii),

4 x (i) ⇒ 272x - 32y = 400

(ii) ⇒ (-<u>) 8x - 32y = -50 </u>

264x = 450

∴ $x=\frac{450}{264}=\frac{75}{44}$

$y=\frac{175}{88}$

So, x ≈ $ 1.70 and y = $ 1.99

R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

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3 years ago

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