Vertical asymptotes ares found where the function is undefined. f(x) is undefined when the denominator equals zero:
x^2-1=0
<em>*Add 1 to both sides*</em>
x^2=1
<em>*Take the square root of both sides*</em>
x=+/-1
There are vertical asymptotes at x=-1 and x=1.
Hope this helps!!
Answer:
let the number of door tickets be x
so, eventually the number of advanced tickets will be. x-30
the total cost=2630.
(x-30)3+5x=2630
3x-90+5x=2630
8x-90=2630
8x=2630+90
8x/8=2720/8
x=340
x-30
340-30
310.
total tickets sold=310+340=650
Therefore, the total tickets bought was 650, 310 was advanced and 340 was door tickets
Answer:
Step-by-step explanation:
The average rate of change is the slope. Slope has a formula that is the change in y over the change in x, which is a fraction. The only time a fraction can have a vlue of 0 is where the numerator of the fraction is equal to 0 (since we are not allowed to have a denominator of 0). If the change in y is in the top of the slope fraction, then we have to find the interval where the y values are the same. I'll show you one where the y values are not the same so you can compare it to the slope where the y values are the same. We will find the slope of choice A.
When x = -3, y = 0 so the coordinate is (-3, 0).
When x = 5, y = 5 so the coordinate is (5,4). Now let's find the slope (aka average rate of change) between those 2 coordinates:
and the top of the fraction is a 1, not a 0, so the average rate of change between these 2 points is 1/2, not 0. Now let's do D.
When x = -3, y = 0 so the coordinate is (-3, 0).
When x = -1, y = 0 so the coordinate is (-1, 0). The slope between these 2 points is
This fraction is equal to 0 because the numerator is 0. Choice D is the one you want.
Answer:
13
8
=
5
4
=
5
4
or
11
4
Step-by-step explanation: