To solve this problem you must apply the proccedure shown below:
1. You have that
varies inversely with
and when
the value of
is
.
2. Therefore, you can write the following expression, where
is the constant of proportionality:

3. Solve for the constant of proportionality and substitute the values to calculate it:

4. The equation is:

The answer is: 
Let's convert the word descriptions into mathematical equations first for illustration.
f(x) = x^2 - x - 12
g(x) = -2.5x - 2
Then, we equate g(x) and f(x). The final equation becomes
x^2 - x - 12 = -2.5x - 2
Then, we simplify by transposing and combining like terms.
x^2 - x + 2.5x -12 + 2 = 0
x^2 + 1.5x - 10 = 0
Since this is a quadratic equation, we find the roots by using the quadratic formula
where a = 1, b = 1.5 and c=-10
Thus, the answer is x = 2.5, -4.
Step-by-step explanation:
Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.
Answer:
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