The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
Answer:
1 Adult ticket=$35
1 Children ticket=$20
Step-by-step explanation:
21C+15A=945
6C+6A=330
we find adult tickets 1st
42C+30A=1890
42C+42A=2310
12A=420
A=35
we will find children ticket next
42c+30a=1890
30c+30a=1650
12c=240
C=20
<span>The sign value for x is positive and for y is negative. In standard position, the x point is at the origin, so the value will be 0. The terminal side is the line that moves to create the angle. At -60 degrees, the terminal side will be in the minus side of the y axis.</span>