Answer:
Step-by-step explanation:
The given rational equation is
The Least Common Denominator is 
.
Multiply each term in the equation by the LCD.
Simplify;
Expand and group similar terms
The answer to this is 6.1 days
Find the multiples of each number:
18: 1 , 2 , 3 , 6 , 9 , 18
24: 1, 2, 3, 4, 6 , 8, 12, 24
Now find the matching numbers:
1 , 2, 3 , 6
<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
<span>-9 divided by 5/8 equals
-9 / (5/8) <---</span><span>Turn the second </span>fraction<span> upside down, then multiply.
= -9 * 8/5
= -72/5
= -14 2/5
= -14.4</span>
