LambLamb

sin(5x) = sin(3x)

general solution in radians:

x = 0 + πn

x=π/8 + πn/4

I'm feeling very \(\sqrt{10}\) today. And you?

(irrelevant side note: these " reCAPTCHA " things are so obnoxious!!)

7x+6-4x = 5x+6-2x

1. Combine like terms

3x+6 = 3x+6

This is an identity. ANY value of x makes the equation true.

Hope this helps!

You should try excercising self control, and patience. It's good for you. (Imagine if everybody reacted the way the first thing that came into their mind was when they get angry?) This planet would be a lot uglier.

Anyways, to answer your math questions, 9/3% = 9/0.03 = 300

8/2.4% = 8/0.024 = 333 1/3 or 333.333333 ...

Well, if something is about 1/4 the length of another thing with a known length, a good start is to multiply the known length by 1/4.

33.46 * [about] 1/4 = [about] 8.365

inequalities are not my expertise but here's my shot at it:

$14 - 30%($14) > $35

because $9.80 > $35 is true.

I'm not sure if this is what you're asking for ...

$60/$72 = 0.833333...

0.833333 = 83.333%

100% - 83.333% = 16.667% = about 16.7%

The discount is 16.7%

I hope this helps! :)

I just played with my calculator and I see exactly what you're talking about.

Basically what you're saying is: instead of (1+1/n)^n, doing (1+1/n)^(n+0.5) gives you more accurate digits.

(1+1/100)^100 = 2.7048...

(1+1/100)^100.5 = 2.7183 ...  (exactly 2x more accurate digits)

(1+1/1000)^1000 = 2.7169239 ...

(1+1/1000)^1000.5 = 2.71828205... (again 2x more accurate digits)

It's pretty interesting, but I don't know why it would give you more accurate digits. Maybe it is a coincidence?

What are you trying to do?

If "simplify" is your answer, then the first step to take would be combine like terms.

7+3x+4 = 3x+11

There are multiple ways to do this, but here is one way:

$300 - 15%($300)

15% ($300) = 0.15 * $300 = $45.

$300 - $45 = $255

You also could have done $300 * (100%-15%) = $300 * 85% = $300 * 0.85 = $255