Answer:

Step-by-step explanation:
The absolute maximum of a continuous function
is where
. Therefore, we must differentiate the function and then set
and
to determine the value of
:







Therefore, when
, the absolute maximum of the function is
.
I've attached a graph to help you visually see this.
Answer:
17
Step-by-step explanation:
3(5)+=17 plug 5 in for x then solve hope this helps
Answer:
6 Hours
Explanation:
Linear Equation: mx+b=y
x variable: Hour
Hourly Fee: $15(x)
(Initial) Rent Fee: $25
Balance: $100
Equation:
15x+25=100
15x+25-25=100-25 -- <em>Separate the constant terms from the x by subtracting 25 from both sides.</em>
15x=100
15x/15=100/15 --<em> Isolate the x variable by dividing 15 from both sides.</em>
x=6.6.. <em>-- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15. </em>
x=6 Hours
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The total cost for plumber number 1 expressed as a function of x is
c1(x)=45x+90
That is, the charge per hour times the number of hours plus the fixed charge for a visit.
Using the same pattern, write the function for the second plumber. Then set the two functions equal to each other and solve for