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3 years ago

Explain how to solve the linear system using the elimination method.

1 answer:

6 0

EQUATION 1) 2x - 3y = -4
EQUATION 2) 7x + 9y =- 5

Multiply the whole first equation by 3 so that we could find the values of X first.

1) 3(2x - 3y = -4)

1) 6x-9y=-12
2) 7x+9y=-5

Add the 2 equations together.
13x=-17
x=-17/3 OR -5 2/3

2x-3y=-4

Plug the value of X into the equation.

2(-17/3) -3y=-4

-11 1/3 - 3y=-4

-3y=-4+11 1/3

-3y=22/3

y=-22/9 OR -2 4/9

~Hope I helped!~

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The length of a rectangle is (x+3) inches long,and the width is 3⅖ inches.If the area is 15 3/10 square inches,write an equation

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Answer:

(x + 3) = 9/2

Step-by-step explanation:

Here, we want to write an equation to find the length of the rectangle

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Area of rectangle = length * breadth

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(x + 3) = 15 3/10 divided by 3 2/5

(x + 3) = 153/10 * 5/17

(x + 3) = 9/2

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Perez’s Ski Shop made a profit of $32,000 last year. This year, the profits are 250 percent of last year’s profits. How much of

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Answer:

$80,000 I think is right

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3 years ago

Read 2 more answers

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

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval o

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Answer:

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

Step-by-step explanation:

Given that there is a continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers

Since the pdf is rectangular in shape and total probability is one we can say all values in the interval would be equally likely

Say if the interval is (a,b) P(X) = p the same for all places

Since total probability is 1,

we get integral of P(X)=p(b-a) =1

Or p= $\frac{1}{b-a}$

this is nothing but a uniform distribution continuous defined in the interval

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

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