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horsena [70]
2 years ago
5

What is the cube root of -729a9b6

Mathematics
2 answers:
Tema [17]2 years ago
7 0

Answer:

-9a3b2

Step-by-step explanation:

Harman [31]2 years ago
3 0

<u>ANSWER</u>

\sqrt[3]{- 729{a}^{9}  {b}^{6} }  =  - 9 {a}^{3} {b}^{2}

<u>EXPLANATION</u>

We want to find the cube root of

- 729 {a}^{9}  {b}^{6}

We express this symbolically as:

\sqrt[3]{- 729 {a}^{9}  {b}^{6} }

The expression under the radical called the radicand.

We need to express this radical in exponential form using the property,

{x}^{ \frac{m}{n} }  =  \sqrt[n]{ {x}^{m} }

Applying this rule gives us:

\sqrt[3]{- 729 {a}^{9}  {b}^{6} }  =  ({- 729 {a}^{9}  {b}^{6}})^{ \frac{1}{3} }

\sqrt[3]{- 729{a}^{9}  {b}^{6} }  =  ({- {9}^{3}  {a}^{9}  {b}^{6}})^{ \frac{1}{3} }

Recall that

({a}^{m} )^{n} = {a}^{mn}

We apply this rule on the RHS to get,

\sqrt[3]{- 729{a}^{9}  {b}^{6} }  =  ({- {9}^{3 \times { \frac{1}{3} } }  {a}^{9 \times { \frac{1}{3} } }  {b}^{6 \times { \frac{1}{3} } }})

This simplifies to

\sqrt[3]{- 729{a}^{9}  {b}^{6} }  =  - 9 {a}^{3} {b}^{2}

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Vsevolod [243]

Answer:

Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other

Step-by-step explanation:

Take for instance 2 linear functions,  and

If they intersect in some point in the space, say that is

Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)

So, we can compare the two functions and get the following result;

It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.

hope this helps!

5 0
2 years ago
Write a two step equation involving division and addition that has a solution of x = 25
Tamiku [17]
Start with the solution
x=-25
use the reverse of what they asked
they wanted division and addition
we use multiplication and subtract

ok
x=-25
we can use subtraction and multiplication in any order
minus 10 from both sides
x-10=-35
multiply both sides by 4
4(x-10)=-140
4x-40=-140 is a possible equation
6 0
2 years ago
A greengrocer sells melons at a profit of 37.5% on price he pays for it.What is the ratio of cost price to selling price
gavmur [86]
S-selling price
c-cost price
p-profit
p=37,5%
\frac{s-c}{s}*100%=37,5%  /:100%
\frac{s-c}{s}=0,375   /*s
s-c=0,375*s  /-s
0-c=-0,625*s /:(-s)
\frac{c}{s}=0,625



5 0
2 years ago
Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?
777dan777 [17]

Let us say weight of Javier is x pounds.

Weight of his bother = 80 pounds

Javier is 175 % or 1.75 times heavier than his brother.

So Javier's weight = x pounds= 1.75 *80 = 140 pounds.

Answer: Javier's weight is 140 pounds.

4 0
2 years ago
Read 2 more answers
By how many factors of 10 did you multiply 0.008? Why?
Tamiku [17]

Answer: 3

Step-by-step explanation:

Move the decimal back to its point of origin

7 0
2 years ago
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