Mathematics, 13.01.2022 03:30 jamisoncameron000

What is the simplest radical form of expression?

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Answer from: jack6563

$~\hspace{7em}\textit{rational exponents} \\\\ ~\hspace{7em}a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( x^2y^8 \right)^{\frac{2}{3}}\implies \left(x^{2\cdot \frac{2}{3}}y^{8\cdot \frac{2}{3}} \right)\implies x^{\frac{4}{3}}y^{\frac{16}{3}}\implies \sqrt[3]{x^4}\sqrt[3]{y^{16}}\implies \sqrt[3]{x^4y^{16}} \\\\\\ \sqrt[3]{x^{3+1}y^{3+3+3+3+3+1}}\implies \sqrt[3]{x^3xy^3y^3y^3y^3y^3y} \\\\\\ xyyyyy\sqrt[3]{xy}\implies xy^5\sqrt[3]{xy}$

Answer from: Quest

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the (original price) is $420.

0.7x = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

Answer from: Quest

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer: y=4x−16

hope i'm right

Will give brainiest which of the following equations represents a line that is parallel to the line

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