Master Fraction Math Problems with Expert Help

Which of the following equations would describe the graph shown below?

f) $y = 2 x + 1$
g) $y = 3 x - 2$
h) $y = 5 x - 10$
j) $y = 4 x - 5$

schnelltcr 2022-08-08

Rationalize and denominator.
$\frac{4 - \sqrt{3}}{6 + \sqrt{y}}$

balafiavatv 2022-08-07

Simplify this fraction.
$\frac{\sqrt{2} + e^{t} - e^{- t}}{\sqrt{2 + e^{2 t} + e^{- 2 t}}}$

Tarnayfu 2022-08-07

Simplyfy the complex fraction (x under square root - 1/2x only x under sqaure root not 2 / x under sqaure root 2. simplyfy the expression $3 x^{1 / 3} - x^{- 2 / 3} / 3 x^{- 2 / 3}$

dredyue 2022-08-07

How prove this inequality $\sum_{c y c} \frac{a^{4}}{a^{2} + 2 b^{4}} \geq 1$
Let $a, b, c > 0$ such $a + b + c = 3$ . Show that
$\frac{a^{4}}{a^{2} + 2 b^{4}} + \frac{b^{4}}{b^{2} + 2 c^{4}} + \frac{c^{4}}{c^{2} + 2 a^{4}} \geq 1$
My attempt is to use Cauchy-Schwarz inequality. Hence, I consider
$(\frac{a^{4}}{a^{2} + 2 b^{4}} + \frac{b^{4}}{b^{2} + 2 c^{4}} + \frac{c^{4}}{c^{2} + 2 a^{4}}) (a^{2} + b^{2} + c^{2} + 2 a^{4} + 2 b^{4} + 2 c^{4}) \geq (a^{2} + b^{2} + c^{2})^{2}$
However,
$(a^{2} + b^{2} + c^{2})^{2} \leq (a^{2} + b^{2} + c^{2} + 2 a^{4} + 2 b^{4} + 2 c^{4})$

Nica2t 2022-08-07

Simplifying $\frac{\sqrt{2} + \sqrt{6}}{\sqrt{2} + \sqrt{3}}$ ?
Is there anything else you can do to reduce it to something "nicer" other than multiplying it by $\frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} - \sqrt{2}}$ and get $\sqrt{6} - 2 + \sqrt{18} - \sqrt{12}$ ? The reason I think there's a nicer form is because the previous problem in the book was to simplify $\sqrt{3 + 2 \sqrt{2}} - \sqrt{3 - 2 \sqrt{2}}$ , which simplifies nicely to $\sqrt{(\sqrt{2} + 1)^{2}} - \sqrt{(\sqrt{2} - 1)^{2}} = 2.$

yongenelowk 2022-08-06

Adding and subtracting fractions and mixed numbers

Tarnayfu 2022-08-05

Calculate.
$\frac{\frac{m}{n} - \frac{n}{5}}{\frac{m + n}{n}}$

yongenelowk 2022-08-05

I am at a complete loss as to where to even start this mathproblem.
102 2/5 - 43 3/4
The only thing I get is that I'm to subtract the whole numbersfirst. After that I am completely stumped as to what comes next. Itried finding the least common denominator for 4 and 5, but I couldonly come up with the number 1 for both of them. If anyone couldhelp explain the general idea of where to go from here, I wouldtruly appreciate it! Thank you!

Edward Hendricks 2022-08-05

How to write sum of fractions with powers
Disclaimer: I'm not a mathematician so this question may sound very easy to you. Sorry if this is too easy for you. (Also english is not my native language but I'll try.)
I have the folowing formula:
$\frac{x * 3^{k}}{(2 n)^{k}} + \frac{3^{k - 1}}{(2 n)^{k}} + \frac{3^{k - 2}}{(2 n)^{k - 1}} + . . . + \frac{3^{0}}{(2 n)^{1}}$
$k \in N, n \in N, x \in N$
The question seems simple to me: How do I / Is there another way to write this formula, so I don't have the dots in the middle?
I you have any questions regarding this formula, please let me know, so I can clarify what I meant.
Any help is appreciated

heelallev5 2022-08-05

Write the ratio: 0.2 to 2 as a fraction in lowest terms.

Flambergru 2022-08-05

Travis typed $\frac{11}{12}$ of his research paper on his computer. Then he printed out $\frac{3}{5}$ of his paper on his computer printer. Suddenly, there was a power outage, and he discovered that he hadn't saved his paper before the power went off. What fractional part of the research paper was lost when the power failed?

latinoisraelm1 2022-08-05

How exactly do I add $\frac{1}{680} + \frac{1}{940} + \frac{1}{1200}$ to get theanswer, which is 296.93?

Carsen Patel 2022-08-03

Six less than the quotient of a number and seven

Katelyn Reyes 2022-08-03

I have some problem of prealgebra i feel confused when equation are diferent in one piece of paper. for example
$\frac{- 3 x}{5} = \frac{9}{5}$

analianopolisca 2022-08-03

Elena daughter sold 87 boxes of girl scout cookies. She was told that this amount represented 5% of the troops sale. How many boxes did the troop sell?

Samson Kaufman 2022-08-02

$\frac{2}{3 x} - 7 = x$ I don't get how to subtract $\frac{2}{3 x}$ from x.

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