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3 years ago

What is equal to 6(x-4)

Mathematics

1 answer:

nadezda [96]3 years ago

5 0

Answer:

6x - 24

Step-by-step explanation:

6(x-4) .....

Multiply the parentheses by 6:

6x - 6 x 4

Multiply the numbers:

6x - 24

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Factor completely <br> 4(x+1)^2/3 + 12(x+1)^-1/3

wolverine [178]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
\left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}
\\\\
-------------------------------\\\\
%4(x+1)^2/3 + 12(x+1)^-1/3
4(x+1)^{\frac{2}{3}}+12(x+1)^{-\frac{1}{3}}\implies 4(x+1)^{\frac{2}{3}}+12\cfrac{1}{(x+1)^{\frac{1}{3}}}
\\\\\\$

$\bf 4(x+1)^{\frac{2}{3}}+\cfrac{12}{(x+1)^{\frac{1}{3}}}\impliedby \textit{so, our LCD is }(x+1)^{\frac{1}{3}}
\\\\\\
\cfrac{4(x+1)^{\frac{2}{3}}\cdot (x+1)^{\frac{1}{3}}+12}{(x+1)^{\frac{1}{3}}}\implies \cfrac{4(x+1)^{\frac{2}{3}+\frac{1}{3}}+12}{(x+1)^{\frac{1}{3}}}
\\\\\\
\cfrac{4(x+1)^{\frac{3}{3}}+12}{(x+1)^{\frac{1}{3}}}\implies \cfrac{4(x+1)+12}{(x+1)^{\frac{1}{3}}}\implies \cfrac{4x+4+12}{(x+1)^{\frac{1}{3}}}
\\\\\\
\cfrac{4x+16}{(x+1)^{\frac{1}{3}}}\implies \cfrac{4(x+4)}{\sqrt[3]{x+1}}$

3 0

3 years ago

Read 2 more answers

I need help in the middle one

azamat

Which one is the middle one ?

4 0

3 years ago

Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10

posledela

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

$V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3$

Hence the volume of cement is 3240 in^3

8 0

3 years ago

QUESTION 4 of 10: You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised

puteri [66]

Answer:

We conclude that will rent be at the end of this year 937.125$.

Step-by-step explanation:

We know that we have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st.

We calculate

$\frac{850}{100}=8.5\\\\5\cdot 8.5=42.5\\\\850+42.5=892.5\\$

now, we get

$\frac{892.5}{100}=8.925\\\\5\cdot 8.925=44.625\\\\892.5+44.625=937.125\\$

We conclude that will rent be at the end of this year 937.125$.

4 0

3 years ago

Ana completed 40% of her homework assignment.Her assignment contains 30 math problems. How many problems does she STILL need to

Brut [27]

Answer:

your answer is 16

Step-by-step explanation:

8 0

3 years ago