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2 years ago

7) Which could be solved for x? 2x+ 2 B) 3(x+2) 3x+4 3x=12 D

Mathematics

1 answer:

dem82 [27]2 years ago

8 0

Answer:

3x=12

Step-by-step explanation:

x=12/3 => x=4

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7. The Quotient

nasty-shy [4]

Answer:

<h3>The number is 500</h3>

Step-by-step explanation:

Let the number be x

The quotient of a number divided by five is written as

$\frac{x}{5}$

the number decreased by 400 is written as

x - 400

Equate the two expressions

We have

$\frac{x}{5} = x - 400$

Multiply through by 5

That's

x = 5x - 2000

x - 5x = - 2000

- 4x = - 2000

Divide both sides by - 4

x = 500

Hope this helps you

3 0

2 years ago

How do you solve this? Thank you

V125BC [204]

2)

a)

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
(4x^5\cdot x^{\frac{1}{3}})+(2x^4\cdot x^{\frac{1}{3}})-(7x^3\cdot x^{\frac{1}{3}})+(3x^2\cdot x^{\frac{1}{3}})\\\\+(9x^1\cdot x^{\frac{1}{3}})-(1\cdot x^{\frac{1}{3}})
\\\\\\
4x^{5+\frac{1}{3}}+2x^{4+\frac{1}{3}}-7x^{3+\frac{1}{3}}+9x^{1+\frac{1}{3}}-x^{\frac{1}{3}}$

$\bf 4x^{\frac{16}{3}}+2x^{\frac{13}{3}}-7x^{\frac{10}{3}}+9x^{\frac{4}{3}}-x^{\frac{1}{3}}
\\\\\\
4\sqrt[3]{x^{16}}+2\sqrt[3]{x^{13}}-7\sqrt[3]{x^{10}}+9\sqrt[3]{x^4}-\sqrt[3]{x}$

b)

$\bf \cfrac{4x^5+2x^4-7x^3+3x^2+9x-1}{x^{\frac{1}{3}}}\impliedby \textit{distributing the denominator}
\\\\\\
\cfrac{4x^5}{x^{\frac{1}{3}}}+\cfrac{2x^4}{x^{\frac{1}{3}}}-\cfrac{7x^3}{x^{\frac{1}{3}}}+\cfrac{3x^2}{x^{\frac{1}{3}}}+\cfrac{9x}{x^{\frac{1}{3}}}-\cfrac{1}{x^{\frac{1}{3}}}
\\\\\\
(4x^5\cdot x^{-\frac{1}{3}})+(2x^4\cdot x^{-\frac{1}{3}})-(7x^3\cdot x^{-\frac{1}{3}})+(3x^2\cdot x^{-\frac{1}{3}})\\\\+(9x^1\cdot x^{-\frac{1}{3}})-(1\cdot x^{-\frac{1}{3}})$

$\bf 4x^{5-\frac{1}{3}}+2x^{4-\frac{1}{3}}-7x^{3-\frac{1}{3}}+9x^{1-\frac{1}{3}}-x^{-\frac{1}{3}}
\\\\\\
4x^{\frac{14}{3}}+2x^{\frac{11}{3}}-7x^{\frac{8}{3}}+9x^{\frac{2}{3}}-x^{-\frac{1}{3}}
\\\\\\
4\sqrt[3]{x^{14}}+2\sqrt[3]{x^{11}}-7\sqrt[3]{x^{8}}+9\sqrt[3]{x^{2}}-\frac{1}{\sqrt[3]{x}}$

3)

$\bf \begin{cases}
f(x)=\sqrt{x}-5x\implies &f(x)x^{\frac{1}{2}}-5x\\\\
g(x)=5x^2-2x+\sqrt[5]{x}\implies &g(x)=5x^2-2x+x^{\frac{1}{5}}
\end{cases}
\\\\\\
\textit{let's multiply the terms from f(x) by each term in g(x)}
\\\\\\
x^{\frac{1}{2}}(5x^2-2x+x^{\frac{1}{5}})\implies x^{\frac{1}{2}}5x^2-x^{\frac{1}{2}}2x+x^{\frac{1}{2}}x^{\frac{1}{5}}$

$\bf 5x^{\frac{1}{2}+2}-2x^{\frac{1}{2}+1}+x^{\frac{1}{2}+\frac{1}{5}}\implies \boxed{5x^{\frac{5}{2}}-2x^{\frac{3}{2}}+x^{\frac{7}{10}}}
\\\\\\
-5x(5x^2-2x+x^{\frac{1}{5}})\implies -5x5x^2-5x2x+5xx^{\frac{1}{5}}
\\\\\\
-25x^3+10x^2-5x^{1+\frac{1}{5}}\implies \boxed{-25x^3+10x^2-5x^{\frac{6}{5}}}$

$\bf 5\sqrt{x^5}-2\sqrt{x^3}+\sqrt[10]{x^7}-25x^3+10x^2-5\sqrt[5]{x^6}$

6 0

2 years ago

A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.

valentina_108 [34]

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>

A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
It is also known as the circle's longest chord.
Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

Let's say the hour hand completed one full round around the clock.
If this was the case, it would have been 2 $\pi$ ×8 inches around.
We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2 $\pi$ ×8×( 5/12 ).

Distance hour hand travel is 20.94 inches.

Therefore, the distance hour hand travel in 5 hours is 20.94 inches.

Know more diameter here:

brainly.com/question/390660

#SPJ4

8 0

2 years ago

What is the solution of 3x=67 ?

natta225 [31]

Answer:

22.3 repeating

Step-by-step explanation:

3x divided by 3x equals 1x or just x but to divide this you also have to divide the other side of the equals sign by 3 as well therefore the answer is 22.3 repeating

You might find it easy by putting it in fractions such as 3x/3x = 67/3 so x =22.3 repeating

8 0

3 years ago

Read 2 more answers

Select the statement that correctly describes the expression below

Kitty [74]

Answer:

Step-by-step explanation:

The equation is (2x+5)^2.

It can't be A because 2 is the multiplier for only x.

It can't be C because the square is outside of the equation.

It can't be D because again, the square is outside of the equation.

So the only thing left is B.

Hope this helped!

7 0

3 years ago