Answer:

Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is:
, where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula:
,

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

Therefore, our desired equation will be
.
Answer:
option 4. The graph has zeroes at x = 15 an x = -15 and it opens upward.
Step-by-step explanation:
we have

This is the equation of a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (0,-225)
The axis of symmetry is x=0 (y-axis)
Find the x-intercepts (values of x when the value of y is equal to zero)
For y=0

square root both sides

therefore
The graph has zeroes at x = 15 an x = -15 and it opens upward.
Answer:
5/6 - 10/12, 15/18, 20/24
3/8 - 6/16, 9/24, 12/32
Step-by-step explanation:
- 1/3 -5/8
-8/24 - 15/24
-23/24
The first step is to find the least common denominator. The LCD of 3 and 8 is 24. Now, mulitply -1/3 by 8/8 and -5/8 by 3/3. This will give you fractions with equal denominators which you need to find before subtracting. Finally, you simplify the equation. Since this cannot be simplified, -23/24 is the answer