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3 years ago

I need help on this question

Mathematics

1 answer:

Sedbober [7]3 years ago

3 0

Answer:

Step-by-step explanation:

It would be answer b, because if you were to solve this, then this is how you would do it (in the most effecient way):

2.5x + 1.2 = 1.2x + 4.2

2.5x + 1.2 - 1.2 = 1.2x + 4.2 - 1.2

2.5x = 1.2x + 3

2.5x - 1.2x = 1.2x - 1.2x + 3

1.3x = 3

1.3x/1.3 = 3/1.3

x = 3/1.3

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Suppose that farmer's grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the

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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) ⇒ (-) 8x - 32y = -50

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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Answer:

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3 years ago

Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters

MissTica

We know that

[perimeter of rectangle]=2*(length+width)

Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x

Area=x*y-------> x*(122-x)----> 122x-x²

find the derivative function and equals to zero

122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m

the maximum area is given by a square

the answer is
is a square of side 61 m

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3 years ago

Convert to factored form y = x² + 6x

steposvetlana [31]

Convert to factored form is:

$y = x(x + 6)$

Solution:

Given that,

$y = x^2 + 6x$

We have to convert to factored form

Factored form means writing terms in multiplication. i.e as a product

From given,

$y = x^2 + 6x$

Factor out x from above given expression

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Here, the given equation is written as product of "x" and (x + 6)

Thus the factored form is found

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3 years ago

I need help on this question ​

I need help on this question