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3 years ago

Help help help read the image please

Mathematics

2 answers:

Liula [17]3 years ago

6 0

All it’s asking is how many students basically scored 90 and under. there’s a total of 25 kids and 14 scored a 90 or less.

Anastasy [175]3 years ago

5 0

It’s only asking how many of them scored under 90 or over 90

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Which of the following are the coordinates of the vertex of Y=3x2 + 3?

Lemur [1.5K]

Answer:

(0,3)

Step-by-step explanation:

y = 3x^2 +3

This is in the form

y = a(x-h)^2 +k

Where the vertex is (h,k)

y = 3(x-0)^2 +3

The vertex is (0,3)

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4 years ago

many elevators have a capacity of 2000 pounds, if a child averages 50 pounds and an adult averages 150 pounds, write an inequali

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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