The five in the hundreds place is 10 times grater than the five in the tenths place
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F(x)=2x²+18x+16
1) we have to calculate the first derived.
f´(x)=4x+18
2) Now, we equalize the first derived to "0" and find out the value of "x"
4x+18=0
4x=-18
x=-18/4=-4.5
3)we calculate the second derived
f´´(x)=4>0 ⇒we have a minimum at x=-4.5
4) Now we calculate the value of "y".
f(-4.5)=2(-4.5)²+18(-4.5)+16=40.5-81+16=-24.5
Therefore; Exist a minimum at (-4.5 , -24.5)
Answer:
(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, , where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.
(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.