The answer is (-1,3) but i don't understand how they got that answer. can someone explain.

The solution is (-1, 3).

Step-by-step explanation:

Given:

The system of equations are given as:

The slope-intercept form of a line is given as:

Where, 'm' is the slope and 'b' is the y-intercept.

For the first equation

So, the slope is negative and the change of y with x is always equal to 1.

This means that if 'x' changes from 0 to 1, then 'y' will decrease by 1 unit.

Also, the y-intercept is at (0, 2)

Now, marking the point (0, 2) on the graph and then increasing 'x' by 1 unit and decreasing 'y' by 1 unit, we get another point at (1, 1). Then draw a line a passing through these two points. The line is the graph of the first equation.

Similarly, consider the second equation.

Here,

So, we mark the point (0, 6) and then increase 'x' by 1 unit and increase 'y' by 3 units to get the point (1, 9). Draw a line passing through these 2 points.

The graphs are shown below. The point of intersection of both the lines is the required solution. As we can see from the graph, the point of intersection is at (-1. 3).

Therefore, the solution is (-1, 3).

idc

step-by-step explanation:

idk

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages