MaxWong

It is me again!!

Let's isolate the y.

3x - 2y = 6

2y = 3x - 6

y = 3/2 x - 3

Solve for a and b:

Plug in the values into the slope-intercept equation as (a,3) and (-2,b) are ordered pairs:

3 = 3a/2 - 3

3a/2 = 6

3a = 12

a = 4

b = (3/2)(-2) - 3 = -6

Find the value of 2b + 5a:

2b + 5a = 2(-6) + 5(4) = 8

LOLOLOLOLOOLOLLOLOOLOLOOLOL

Maybe we should write it as a summation......

\(\sqrt[3]{x-a}=\displaystyle\sum^{\infty}_{n=0}\left(-\dfrac{x}{3}\right)^n\left(-a\right)^{\frac{1-3n}{3}}\)

To make the sign alternate:

\(\sqrt[3]{-a}=-\sqrt[3]{a}\)

At least this is true according to my knowledge.

:)

I know how to do :):) I am very awesome:):)

1)

 \(\sqrt{75360} - \sqrt{0.7536}\\ =\sqrt{7.536 \times 100^2} - \sqrt{75.36\times \left(\dfrac{1}{10}\right)^2}\\ =100\sqrt{7.536} - \dfrac{1}{10}\sqrt{75.36}\\ = 100 \times 2.754 - \dfrac{1}{10}\times 8.681\\ = 275.4 - 0.8681\\ =274.5319\)

2)

90% of the questions = 45 questions.

Let x be the number of questions he got correct.

(45-x) be the number of questions he got wrong.

\(5x + (-2)(45-x) + 0(50 - 45) = 176\\ 5x - 90 + 2x = 176\\ 7x = 266\\ \color{red}\boxed{\color{black}{x=38\\ 45-x = 7}}\)

He got 38 questions correct, and 7 questions wrong.

(-1)^(1/3) = -1

because (-1)^3 = -1

me? LOL

I started learn LaTeX by myself when I was first in the forum.

PS: I am 14 :)

This equation makes me think that I am stupid(At least I am really stupid compared to the vast ocean of Mathematics and Science). How do I even figure it out!?!?!?

\(5^x = \sqrt5\\ x \log 5 = \log (\sqrt5)\\ x = \dfrac{\log(\sqrt5)}{\log 5}\)

Put this into the calculator and it is 1/2.

My cousin is challenging me in Mathematics. He gave me this question and I still can't solve it for 1 week.

He said that the solution is x = 8, I plugged x = 8 into the equation and it is correct. But I don't know how to get the answer. He told me the question and the answer and he told me to do the steps.