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stepan [7]
3 years ago
15

PLEASE HELP ME WITH THIS

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

  • x + y ≤ 600
  • 5x +7y ≥ 3500
  • it is possible

Step-by-step explanation:

a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.

  x + y ≤ 600 . . . . . . . limit imposed by available seating

  5x +7y ≥ 3500 . . . . required revenue to meet expenses

__

b) For x = 330, the first inequality puts one limit on y:

  330 +y ≤ 600

  y ≤ 270

And the second inequality puts another limit on y:

  5(330) +7y ≥ 3500

  7y ≥ 1850 . . . . subtract 1650

  y ≥ 264.3 . . . . divide by 7

The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.

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<h3>What is vertex form of  a quadratic equation?</h3>

If a quadratic equation is written in the form

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

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We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is h(x) = 7 + 10x + x^2\\

Converting it in vertex form, we get:

h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18  \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)

Thus, we have h = -5 and k = -18

The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

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Learn more about vertex form of quadratic equations here:
brainly.com/question/9912128

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