$2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}$

So, our solutions are:

$x\in \{\frac{\sqrt{10}}{2},-\frac{\sqrt{10}}{2},-\frac{1}{6}\}$

4 0

4 years ago

The Math Club is selling shirts to raise money for a Pi Day Convention. Short sleeve shirts are $5 and long sleeved shirts are $

Sladkaya [172]

<h2>Answer:</h2>

# short sleeved shirts sold is 50

# long sleeved shirts sold 35

<h2>Step-by-step explanation:</h2>

First, you need to set up the equation.

(5x)+10*(85-x)=600

5x+850-10x=600

-5x+850=600

-5x=600-850

-5x=-250

x=50

After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.

You can now check your answers. 50*5 + 35*10=600

That is correct.

I hoped I helped you. I will be really glad, if you mark my answer with brainliest.

3 0

3 years ago

John is choosing a password for his access to the internet. He decided not to use the digit 0 or the letter M. Each letter or nu

mafiozo [28]

25 letters for first spot
25 letters for second spot
$25 ^{2} = 625$
9 numbers
$9 ^{4} = 6561$
6561 times 625
=4,100,625

3 0

3 years ago