Answer:
8. m=6
9. x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.
Step-by-step explanation:
Question 8:
2m-6=m
-2m -2m (subtract 2m from both sides)
<u>-6</u>=<u>-m</u>
- - (divide both sides by the negative)
m=6
Question 9:
<u>8x</u>=<u>16 </u> (divide both sides of the equation by 8)
8 8
x=2
-5 = 3/4x - 2
-5 + 2 = 3/4x
-3 = 3/4x
-3 / (3/4) = x
-3 * 4/3 = x
-12/3 = x
-4 = x <==
H is less than or equal to 35
Just simplify each side and solve for the variable.
Y=3x+10
10 represents the fee
X= amount of hours
3 is the cost per hour.
A.) R(20) = -10(20)^2 + 800(20) = -10(400) + 16000 = -4000 + 16000 = $12,000
R(25) = -10(25)^2 + 800(25) = -10(625) + 20000 = -6250 + 20000 = $13,750
R(30) = -10(30)^2 + 800(30) = -10(900) + 24000 = -9000 + 24000 = $15,000
b.) For maximum revenue, dR/dp = 0
dR/dp = -20p + 800 = 0
20p = 800
p = 40
Therefore, the maximum revenue will be recorded when the price is set at $40.
