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Eduardwww [97]
3 years ago
7

What is the factored form of 64g^3+8

Mathematics
1 answer:
vivado [14]3 years ago
3 0
\bf \textit{difference and sum of cubes}
\\\\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 
\\\\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-------------------------------\\\\
64g^3+8\implies 4^3g^3+8\implies (4g)^3+2^3
\\\\\\
(4g+2)[(4g)^2-(4g)(2)+2^2]\implies (4g+2)[(4^2g^2)-8g+4]
\\\\\\
(4g+2)(16g^2-8g+4)
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8_murik_8 [283]
The first thing you should do in that case is to graph both lines.
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7 0
3 years ago
Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the rem
dedylja [7]

Answer:

Final answer is 1/3.

Step-by-step explanation:

Question says that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. After that  she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

As she used 5/9 of the tomatoes to make pasta sauce.

Now remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

3 0
3 years ago
Robin was just hired at Groceries &amp; More as a cashler. They pay her $12 an hour. She works 20 hours a week and is going to s
Lostsunrise [7]

Answer:

5 weeks

Step-by-step explanation:

We know that she works at a rate of $12 an hour, she also works 20 hours a week.

The total amount she makes per week is $240 (12 x 20). However, that is without deductions. We have to subtract $34 from the $240.

$240 - $34 = $206.

$206 is the amount she makes in a week and she wants to save $950. How many weeks does she have to save? Well, let's divide.

$950 / $206 = 4.6 weeks. However, if we have to round up to 5 weeks.

4 0
2 years ago
How many ways can 6 people wait in line if Tom or John need to be last in line?
Maru [420]

Answer:

I think it will over 30 ways but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

8 0
2 years ago
Help me please ......
Alja [10]

2\frac{3}{4}*2=\frac{2*4+3}{4}*2=\frac{11}{4}*2=\frac{22}{4}= 5\frac{2}{4}=5\frac{1}{2}

7 0
3 years ago
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