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3 years ago

Use the drop-down menus to complete each equation so the statement about its solution is true.

Mathematics

2 answers:

Dima020 [189]3 years ago

5 0

Answer:

1.3x+9

2.1x+4

3.3x+1

Step-by-step explanation:

aleksklad [387]3 years ago

3 0

First, let's simplify the expression: 7 - 5 + 3x - 1 ⇒ 3x + 1 (slope=3, y-intercept = 1)

Next, let's understand what they are asking for:

no solutions means same slope but different y-intercepts

Answer: 3x + _______ (the blank can be anything except 1)

one solution means different slopes

Answer: ________x + _______ (the first blank can be anything except 3, the second blank can be anything)

infinitely many solutions means same slope and same y-intercept

Answer: 3x + 1

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We are given

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3 years ago

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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

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

$R_x=0$

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

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

$R_y=0$

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

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(ii) ⇒ (-) 8x - 32y = -50

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

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R(1.70, 1.99) = $ 134.94

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