F(x) = 6x² + 5 - 42x
first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.
f(x) = 6x² - 42x + 5
Exponents must be in decreasing order.
Answer is option C
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

k is the constant of proportionality
We check with each option and identify which option gives us same K value
(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours
so k = 10
so k = 22.5
K values are not same
(b) 3 mph for 2 hours and 4.5 mph for 3 hours
so k = 6
so k = 13.5
K values are not same
(c) 4 mph for 2.5 hours and 5 mph for 2 hours
so k = 10
so k =10
K values are same .
Answer is option C
Answer: 100 rides are needed to break even.
Step-by-step explanation:
We have given the cost function
C(x)=15x+2000 where x is the number of rides.
And rides cost 35$
⇒ revenue function would be 35 times x
i.e.R(x)=35 x , where x is the number of rides.
Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.
i.e. at break even point
total revenue=total cost
⇒35x=15x+2000
⇒35-15x=2000[subtract 15x from both sides]
⇒20x=2000 [simplify]
⇒x=2000/20[dividing both sides with 20]
⇒x=100
∴ 100 rides are needed to break even.
Answer:
11
Step-by-step explanation: