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3 years ago

12

X-4y =-6 ( ,2) (-2, )

1 answer:

marin [14]3 years ago

5 0

Answer:5x-20y=12

Step-by-step explanation:

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What does evaluate each expression mean in <br> seventh grade math

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Evaluating each expression means to simplify the expression down to it's simplest form.

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3 years ago

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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

6. Examine the prism shown below.

bulgar [2K]

It may be can be number 1 (a)

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2 years ago

What is 4 less than the quotient of twice a number and 3 translated to an algebraic expression?

Drupady [299]

Answer:

(2x/3) - 4

Step-by-step explanation:

"twice a number" ---> 2x

"quotient of twice a number and 3" ---> 2x/3

"4 less than" --> (2x/3) - 4

Could also be written as (2/3)x - 4

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3 years ago