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4 years ago

If the pacific ocean is represented by the square with 3 cm sides what is the area of this square

2 answers:

7 0

To find area you multiply length times width because you have a 3cm square the length is 3cm and the width is 3cm so 3 x 3 = 9 so the area is 9cm²

Brilliant_brown [7]4 years ago

4 0

9 because a squre has equal sizes and area is leignth times width and 3 x 3= 9

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Mr. Burke had 40 pencil. He gave his class 1/5 of the pencils.Then he packed away 1/4 of the pencils that reminded. All the othe

Amiraneli [1.4K]

Answer:

26 pencils were thrown away.

Step-by-step explanation:

1/5 = 8/40

1/4 = 6/32

add them together 18/40

26 were thrown out

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3 years ago

A new car is purchased for 15500 dollars. The value of the car depreciates at 6.5% per year. What will the value of the car be,

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3 years ago

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3 years ago

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3 years ago

Quadratic Equation Applications

serious [3.7K]

The number of $0.50 increases to maximize the profit is X = 1.

First of all, we need to write the linear function which represents the price of the ticket for each increase of $0.50:

P - Price of each ticket.

x - number of increases.

We know that the current price is $5.00, so:

$P(x) = 0.5x + 5.00$

After that, let's build a linear function which shows the number of tickets sold for each price increase:

T - number of tickets.

x - number of increases.

$T(x) = -100x + 1200$

With all this done, we can finally build the quadratic function which represents the money earned:

M - money earned

$M = Tickets Sold \times TicketPrice\\\\M = T(x) \times P(x)\\\\M = (0.5x + 5) \times (-100x + 1200)\\\\M = -50x^{2} + 600x -500x + 6000\\\\M(x) = -50x^{2} + 100x + 6000\\\\$

Now, to finish, we only have to calculate the value of X(number of increases) which can give us the maximum value of this function:

the X coordinate for the maximum value of a quadratic is expressed by:

$Xmax = \frac{-b}{2a} \\\\$

In our equation, b = 100 and a = - 50 :

$Xmax = \frac{-(100)}{2(-50)} \\\\Xmax = \frac{-100}{-100} \\\\Xmax = 1$

Thus, the number of increases which maximizes the profit is 1.

Learn more about linear and quadratic functions in: brainly.com/question/4119784

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3 years ago