Yes, borh ratios when reduced are 5:2. 30:12 is 5:2 because both are divisible by 6. 30/6=5 and 12/6=2. 40:16 is 5:2 because both are divisible by 8, 40/8=5 and 16/8=2
X³-8=x-2: Original equation.
x³-x-6=0: Subtract x and add 2 to both sides.
(x-2)(x²+2x+3): Factor the equation
x-2=0; x²+2x+3=0: Separate the expressions into equations
x=2: Add 2 to both sides
x²+2x+3=0: Quadratic Formula
x= 2, <u>-2+√-8</u>,<u>-2-√-8</u>
<u /> 2 2
Answer:
Correct option: (A) 43.48% fall in the price of a ticket.
Step-by-step explanation:
The price elasticity of demand is defined as the percent change in quantity demanded to the percent change in the price.

Given:
Price elasticity of demand = 0.23
% change in quantity demanded = 10
Compute the % change in price as follows:

Thus, a 10 percent increase in attendance can be explained by a 43.48% fall in the price of a ticket.
Answer:
k = 1
Step-by-step explanation:
=> y ∝ x²
So, y = kx² ----------------------------(1)
<u><em>Where k is the constant of proportionality</em></u>
Now,
y = 9 when x = 3
Putting in (1)
=> 9 = k(3)²
=> 9 = k(9)
Dividing both sides by 9
=> k = 1