Answer:
1. 2x−11
2. x²−2x−8
Step-by-step explanation:
1.
Regroup terms.
Expand by distributing terms.
Collect like terms.
Simplify.
2.
Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
Collect like terms.
Simplify.
10/4 is the same as 2 and 2/4 miles or 2 and 1/2 miles
5/2 is the same as 2 and 1/2 miles
Both Mary and Beth run the same distance.
Revenue=quantity x price= (-2p+1000) (p)= -2p^2+1000p
The maximum revenue will occur when the first derivative is zero so when 2(-2p)+1000=0;p=250
Which generates 125,000 in revenue
Try prices of 245 and 255 and you will see they both are less than 250 thereby proving the max revenue is 250
there you go hope it helps :)