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Kruka [31]
3 years ago
11

When using the identity for the sum of two cubes to factor 125q^6-r^6s^3

Mathematics
1 answer:
Drupady [299]3 years ago
8 0

Answer:

a = 5q²

b = r²s

Step-by-step explanation:

The given identity is a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})

we have to use this identity to factor of two cubes given as 125q^{6}-r^{6}s^{3}=(5q^{2})^{3}-(r^{2}s)^{3}

As this expression is in the form of a³- b³

Here a is 5q² and b is r²s.

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\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{unit}{cost}&\stackrel{total}{value}\\
&------&------&------\\
Raisins&11&2.30&25.3\\
Peanuts&p&4.50&4.5p\\
------&------&------&------\\
mixture&m&3.29&3.29m
\end{array}

we know that, the mixture amount is the sum of 11 + p, or 11 + p = m.

we also know that, the total value is also a sum of 25.3 + 4.5p = 3.29m.

\bf \begin{cases}
11+p=\boxed{m}\\
25.3+4.5p=3.29m\\
----------\\
25.3+4.5p=3.29\left( \boxed{11+p} \right)
\end{cases}
\\\\\\
25.3+4.5p=36.19+3.29p\implies 1.21p=10.89\implies p=\cfrac{10.89}{1.21}
\\\\\\
p=\stackrel{lbs}{9}
5 0
3 years ago
Given: 5x + 3 &gt; 4x + 7.<br><br><br><br> Choose the graph of the solution set.
Natali5045456 [20]

Answer:

5x+3>4x+7

-4x      -4x

x+3>7

-3     -3

x>4

so the answer will be the second

Step-by-step explanation:

7 0
3 years ago
Help me please i am very lost but i am trying
mart [117]

Answer:

3.

A) is a function because each x goes the one of the ys

B) is not a function due to the x repeating. u can't have that

4.

yes it represents a function cause it passes the vertical line test.

3 0
4 years ago
Which of the following is the correct answer when you evaluate
hichkok12 [17]

Answer:

Youre answer would be y

≥

7

13

y≥7/13

Step-by-step explanation:

Move all terms not containing  

y

y

to the right side of the inequality.

13

y

≥

7

13y≥7

Divide each term by  

13

13

and simplify.

Divide each term in  

13

y

≥

7

13y≥7

by  

13

13

.

13

y

13

≥

7

13

13y13≥713

Reduce the expression by cancelling the common factors.

y

≥

7

13

y≥713

5 0
3 years ago
On a number​ line, suppose point E has a coordinate of 2​, and EGequals5. What are the possible coordinates of point​ G?
Ivan

Answer:

-3, 7

Step-by-step explanation:

EG = 5, so the distance between E and G is five.

G can be 5 units to the right of E:

2 + 5 = 7

G has coordinate 7.

G can be 5 units to the left of E:

2 - 5 = -3

G has coordinate -3.

Answer: -3, 7

6 0
3 years ago
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