Answer:
and
expressed in interval notation.
Step-by-step explanation:
A compound inequality
has been provided. Our task is to determine the solution for this inequality.
Initially, we will address each inequality independently, followed by merging the findings by combining the overlapping intervals.



By dividing with a negative number, it is necessary to reverse the inequality sign:





Again, dividing by a negative requires flipping the inequality sign:


In combining both intervals, we will arrive at:

Thus, the solution for the inequality provided is
and
in interval notation.
Having no profit indicates that P(x)=0: x³-4x²+3x-12=0
factor this by regrouping: x²(x-4)+3(x-4)=0
extract (x-4): (x-4)(x²+3)=0
thus, x=4 or x²=-3
since x² cannot be negative, the only viable solution is x=4.
Answer: 3hk - 12.4h
Step-by-step explanation:
h(3k-12.4)
h multiplied by 3k results in 3hk, and h multiplied by 12.4 gives -12.4h.
So, the outcome is 3hk - 12.4h
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