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3 years ago

Please help will mark brainlest

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

Answer:

m = $\frac{6}{5}$ , n = $\sqrt{2}$

Step-by-step explanation:

m has to be a rational number but it can't be an integer.

$\frac{2}{3}$ is rational and it is not an integer, $\frac{6}{5}$ is rational and it is not an integer, 4π is not rational, and $\frac{6}{2}$ is rational but it is an integer because it's equal to 3.

m must equal $\frac{2}{3}$ or $\frac{6}{5}$ .

n has to be irrational.

$\sqrt{9}$ is not irrational because it is equal to 3, which is rational.

This leaves m = $\sqrt{2}$ .

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crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

$y = ax^2 + bx + c$

The solutions are:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a}$

$x_2 = \frac{-b - \sqrt{\Delta}}{2a}$

In which:

$\Delta = b^2 - 4ac$

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

$\Delta = 150^2 - 4(-3)(-1200) = 8100$

$x_1 = \frac{-150 + \sqrt{8100}}{-6}$

$x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40$

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

$\Delta = 150^2 - 4(-3)(-1800) = 900$

$x_1 = \frac{-150 + \sqrt{900}}{-6}$

$x_2 = \frac{-150 - \sqrt{900}}{-6} = 30$

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

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2 years ago

Experimental probability question! I will give brainlist if you answer correctly, but I will give 5 stars and thanks even if you

Rom4ik [11]

Answer:

84% or 21/25

Step-by-step explanation:

1 is 8, 2 is 6, 3 is 9, 4 is 11, 5 is 9, 6 is 7. add the values: We get 50.

because landing on 1 is an 8/50 chance, not landing on one is a 42/50 chance, which in turn is 84% or 21/25.

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4 years ago

Which polynomial is a quintic binomial?

lidiya [134]

Polynomial A : x^4 + 2 x³ - x² + 7 x + 11 has a Quartic degree.
Polynomial B : x² + 4 x is a Quadratic binomial.
Polynomial D : 5 x² - 2 x + 4 has a Quadratic degree.
Answer:
Polynomial D : 3 x^5 + 2 is a Quintic binomial

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3 years ago

Read 2 more answers

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andriy [413]

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Plug in what you know.

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4 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D-%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{3}{4}-\frac{2}{3}"

Komok [63]

Lcf= 12

So we’d have
9 - 8
———
12

1
—-
12

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3 years ago