Answer: A: 2
Step-by-step explanation:
In order to find the slope of the line, you must know about rise/run, which means that you go up and over to your next point. For example: I started at the point 0,-4 and went up two and to the right one to the point -2,1, which i rose 2 and ran 1, or 2/1, which equals 2
Answer:
C.y = 3x + 4
Step-by-step explanation:
We have two points, so we can find the slope
m = (y2-y1)/ (x2-x1)
= (7--2)/ (1--2)
= (7+2)/(1+2)
= 9/3
=3
The slope is 3
We can find the point slope form of the line
y-y1 = m(x-x1)
y-7 = 3(x-1)
Distribute
y-7 =3x-3
Add 7 to each side
y-7+7 = 3x-3+7
y = 3x+4
This is in slope intercept form (y=mx+b)
Answer: 12 days
Step-by-step explanation:
For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:
Multiples of 4 = 4, 8, 12, 16, 24.
Multiples of 6 = 6, 12, 18, 24, 30.
The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days
Answer:
a. 720
b. 0.3
Step-by-step explanation:
a.
Three balls are selected at random without replacement.
First ball can be selected in 10 ways
Second ball can be selected in 9 ways
Third ball can be selected in 8 ways
Thus, there are 10×9×8 =720 different ways of selecting three balls.
b.
There are three cases that satisfy this condition
- first ball picked is 5, the others are not
- first ball is not 5, second is 5, third is not
- first and second ball is not five, third ball is 5
Each probabilities are:



Thus, one of the balls selected is the number 5 is then 