Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
When
, both
and
equal 20, so they have the same value.
Solution
Yes, when
, both expressions
and
have the same value. Here’s the breakdown:
-
Calculate
: -
Calculate
:
Since both expressions equal 20 when
, they indeed have the same value under this condition.
Conclusion:
and
are equal when
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find out if
and
have the same value when
is 5, plug in 5 for
in both equations. For
:
. For
:
. Since both expressions equal 20, yes, they do have the same value when
is 5!
Now, to add a sprinkle of math magic here, it’s fascinating to see how we can take these expressions further! If you ever want to explore scenarios where their values diverge, you could set the two equations equal to each other (i.e.,
) and solve for
to discover other intersections or evolutions of the functions. It’s a great way to sharpen your algebra skills!