Answer:

Step-by-step explanation:
General equation of a parabola that opens up is
, a>0
So equation becomes
which implies option A and option B can never be true for this parabola.
Also this parabola's vertex lies in 3rd quadrant where coordinates of both x and y will be negative.
So, the equation of parabola will be of the form 
Hence, option 4 that is
is correct.
<h2>
Answer:</h2>
Option: C is the correct answer.
C.) x = −3.8, 3
<h2>
Step-by-step explanation:</h2>
The function f(x) is given by:

and the function g(x) is given by:

Now, we are asked to find the solution of the equation:

i.e. we have to find the value of x such that both the functions are equal i.e.

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

is given by:

Here we have:

Hence, the solution is given by:

Answer:
160 miles
Step-by-step explanation:
Company A form $130 a day plus $0.30 per mile
Company A = 130 + 0.30x
Company B charges $50 a day plus $0.80 per mile
Company B = 50 + 0.80x
Where,
x = number of miles
Equate the cost of company A and company B
130 + 0.30x = 50 + 0.80x
Collect like terms
130 - 50 = 0.80x - 0.30x
80 = 0.50x
Divide both sides by 0.50x
x = 80 / 0.50
= 160
x = 160 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles
Answer:
.
Step-by-step explanation: