Rate of change is another way to say slope.
Slope is (the change in y) / (the change in x).
The formula for slope is:
m = (y2 - y1)/(x2 - x1), with (x1, y1) being one point and (x2, y2) being the second. What you need to do is order the slopes from smallest to largest because slope means the same thing as rate of change.
#17. First, you need to find the slope of function A. To do this, I’m choosing two different points I see on the graph: (1,1) and (2,1). I now plug these into the slope formula:
m = (1-1)/(2-1) = 0/1 = 0.
The slope for function A = 0
To find the slope for function B, you can choose any two points. I’m going to use (3,0) and (6,1)
m = (1-0)/(6-3) = 1/3
The slope for function B is 1/3
For function C, you are already given the slope. That equation is in something called slope-intercept form (y=mx+b), where the x is being multiplied by the slope.
The slope on function C = 1/4
So,, A has the smallest slope, C has the second smallest slope, and B has the largest slope.
#18. The two points in using to find the slope for function A are (0,-3) and (1,0).
m = (0+3)/(1-0) = 3/1 =3
The slope for function A is 3
The two points I’m using for function B are (-2, 10) and (0, 20)
m = (20-10)/(0+2) = 10/2 = 5
The slope for function B is 5
The slope for function C is 1. When the slope is 1, it is not written because any number (other than 0) times 1 equals 1.
Function C has the smallest slope, function B has the second smallest slope, and function C had the largest slope.
It would probably be better for you to try 19 and 20 on your own, and let me or anyone else on Brainly know if you have any questions or something doesn’t make sense.
I hope this has helped!
Answer:
The probability of both dice having the same number is 636, as there are 36 different outcomes, 6 of which have two of the same number, i.e. (1,1),(2,2),....
The expected number of rolls of this type in 100 pairs of dice rolls is 100∗636
2x+2y=38
y=x+3
First you would substitute the y for x+3
2x+2(x+3)=38
You would multiply the 2 by the x+3
2x+2x+6=38
Add the 2x and the 2x
4x+6=38
Subtract the 6 on both sides
4x=32
Divide the 4 on both sides
x=8
Now substitute the x in the second problum for 8
y=8+3
Add the 8 and the 3 to solve for y
y=11
Your answers
x=8
y=11
the correct answer would be A:(8,11)
