All categories

3 years ago

What is 9/12 as a sum of unit fractions

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

4 0

1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12=9/12

You might be interested in

What is the answer to this please

Alex_Xolod [135]

Domain: x≤5 (notice the closed dot on the right and the arrow on the left)
Range: y≤2 (notice the closed dot on the right and the arrow on the left)

The arrow means it keeps going infinitely. The closed dot means it stops there but is inclusive of that value.

3 0

3 years ago

Question 5: prove that it’s =0

mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that $\cos(\frac{2}{x})$ is a variable number between -1 and 1 (inclusive).

This means that $-1 \le \cos(\frac{2}{x}) \le 1$ .

$x^4 \ge 0$ for all value $x$ . So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

$-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

By squeeze theorem, if $-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

and $\lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L$ , then we can also conclude that $\im_{x \rightarrow} x^4\cos(\frac{2}{x})=L$ .

So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

We can finally conclude that $\lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0$ by squeeze theorem.

Some people call this sandwich theorem.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%7B3x%7D%5E%7B2%7D%20%20-%202%29" id="TexFormula1" title="3(

Juliette [100K]

The answer should be 12x^2-6

7 0

3 years ago

Read 2 more answers

Which graph????????????

Marina86 [1]

Answer:

that one of course

Step-by-step explanation:

its THAT one

5 0

2 years ago

Write the equation of the line that has a y-value that increases by 4 for every x that increases by 1. It also crosses the y-axi

34kurt

Slope = rise/run. the rise is the increase of y and the run is the increase of x. that would make it 4/1 or just 4. now that you have the slope, plug everything into slope-intercept form. y = mx + b. m = the slope. b = the y-intercept. once every thing is plugged in, then the equation would be y = 4x - 2.
i hope i helped

6 0

3 years ago