What is the value of the variable that makes the statement true?
1 answer:
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Answer:
5
Step-by-step explanation:
Plug in 24 for x in your g(x) equation.
Next, plug in your g(x) value, 4, to your f(x) equation for x.
Solving this question will involve basic division knowledge.
<em><u>The different positive integer values of n are; 4,6,8,12,24</u></em>
From knowledge on division, we know that when 27 is divided by N and we have 3 as remainder, we can express it as;
= quotient +
Now let us rearrange to get;
-
= quotient
this gives;
= quotient
Now to get how many positive integers can be n, it means all positive values of the quotient must be positive integers as well.
Factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24
Thus, the possible positive integers will come from this list.
But we can't make use of 1,2,3 as possible values of n because when we divide with 27, we will get either an exact value or 1 as the remainder.
Thus <em>the possible positive integer values of n are; 4,6,8,12,24</em>
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