Answer: I think your answer is 1,269 ft.
Step-by-step explanation:
Given the functions;
f(x) = 5x
g(x) = 2x-1
Required
The composite function f(g(x))
f(g(x)) = f(2x-1)
To get f(2x-1), we are to replace x with 2x-1 in f(x) as shown;
f(2x-1) = 5(2x-1)
Open the parenthesis;
f(2x-1) = 5(2x)-5(1)
f(2x-1) = 10x - 5
f(g(x)) = 10x - 5
Hence the composition f(g(x)) is 10x - 5
3x^2 + 4x - 5 = 0
x = [-b ±√(b^2 - 4ac)]/2a
a = 3
b = 4
c = -5
x = [-4 ±√(16 + 60)]/6
x = [-4 ±√76]/6
x = [-4 ±√(2^2 * 19)]/6
x = [-4 ±2√19]/6
x = [-2 ±√19]/3
x = [-2 + √19]/3
x = [-2 + 4.35]/3
x = 2.35/3
x = 0.78 (rounded to the nearest hundredth)
x = [-2 - ±√19]/3
x = [-2 - 4.35]/3
x = -6.35/3
x = -2.12 (rounded to the nearest hundredth)
<span>∴ x = -2.12 , 0.78 (rounded to the nearest hundredth)</span>
Answer:
I think you forgot the context or image of that.
Answer:
<h3>2min/customer</h3>
Step-by-step explanation:
If 8 customers entered a store over the course of 16 minutes, then;
8 customers = 16 minutes.
The rate at which the customers are entering is expressed as;
Rate = Time (in minutes)/amount of customers;
Given
Time = 16 minutes
Amount of customers = 8 customers
Rate = 16min/8customers
Rate = 2min/customer
Hence the rate at which the customers entering the store in minutes per customer is 2min/customer.
