Answer:
y/2 = 4.5
Step-by-step explanation:
1/4x + 2y = 11/4
distribute by 4 to eliminate fractions
x + 8y = 11
+ <u>-x - 6y = 7</u>
2y = 18
y = 9
half of 9 = 4 1/2
Answer
given,
opera house ticket = $50
attendance = 4000 persons
now,
opera house ticket = $52
attendance = 3800 person
assuming these are the points on the demand curve
(x, p) = (4000,50) and (x,p) = (3800,52)
using point slope formula




R(x) = x . p




at 

x = 4500

hence at x =4500 the revenue is maximum
for maximum revenue ticket price will be

p = $45
9^2 < 6^2 + 8^2
so its acute angled.
Answer:
x = -2.32, 10.32 to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x - 24 = 0
x = [ - (-8) +/- sqrt (((-8)^2 - 4*1*(-24)] / 2
= 4 +/- sqrt160/2
= 4 +/- 6.3245
= -2.32, 10.32.