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Answer:
(5 + 3y)(25 - 15y + 9y²)
Step-by-step explanation:
This is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
125 + 27y³
= 5³ + (3y)³ with a = 5 and b = 3y
= (5 + 3y)(5² - 5(3y) + (3y)² )
= (5 + 3y)(25 - 15y + 9y²)
Answer:
c. 24 is a solution
Step-by-step explanation:
Given equation:

To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable
and see if it satisfies the equation.
1) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement can never be true and hence 22 is not a solution.
2) 

The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) 

Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.


The above statement is always true and hence 24 is a solution.
4) 

The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
Answer:
Step-by-step explanation:
The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3
To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15
Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes
12/15
Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes
13/15
The equation becomes
(12 + 13)/15 = 5/3
25/15 = 5/3
Simplifying 25/15 to its lowest terms, it becomes 5/3 so
5/3 = 5/3
Answer:
The third one is the only one that is not a function.
Step-by-step explanation: