Answer:
We calculate the slop of a line.
How to find the slope:
Pick any two points on a graph
The formula of slope is 
For example we have two points that contains the coordinates (5,2) (7,4)
Inserting them to the formula would result in:

=
Our rate of change is rise 2, run 2.
5x^2+60x=0
x(5x+60)=0
x=0
and
5x+60=0
5x=-60
x=-12
therefore, the first option is correct
Discussion
The discriminate is b^2 - 4*a*c
The general equation for a quadratic is ax^2 + bx + c
In this equation's case
a = 1
b= -5
c = - 3
Solve
(-5)^2 - 4*(1)*(-3)
25 - (-12)
25 + 12
37
Note
Since the discriminate is > 0, the roots are real and different. The roots do exist and there are 2 of them.
Answer:
See below
Step-by-step explanation:
The interval must be chosen so that the function is one-to-one, and the sine and cosine functions are not one-to-one on the same intervals.