Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To solve the equation
for
, we start by substituting
with its defined expression:
Next, we can isolate
by subtracting 4 from both sides:
This simplifies to:
To find
, we multiply both sides by -1:
So the solution is
.
Now, let’s look at the broader context!
In many real-world scenarios, functions like
can represent linear relationships, such as predicting expenses over time where “x” might denote months spent and “h(x)” represents remaining budget. Establishing the point where the function meets a specific value, like
, helps in budget management and financial planning.
Making common mistakes is easy when approaching equations! One common error is incorrectly managing the signs. For instance, when isolating
, confusing it with positive values can lead to wrong outcomes. Always double-check operations—especially with negation—before finalizing your answers!