Question 1: The y-intercept is where the line crosses the y-axis. The increments of the y-axis is by 20, and the y-intercept is at (0, 20).
The slope is the change in y over the change in x. Find two points:
(0, 20) and (2, 80)
Now:
(80 - 20)/(2 - 0) = 60/2 = 30
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
So:
y = 30x + 20
Question 2: Again, look for the y-intercept, which is pretty clear. It's (0, 60).
Now find two points:
(0, 60) and (2, 40)
Find the slope:
(40 - 60)/(2 - 0) = -20/2 = -10
So, the equation is:
y = -10x + 60
And, there you go!
The first Venn diagram would be the best because 18 students play baseball and one side has 13 13+5=18 and for basketball 12+5=17
Answerº the first Venn diagram.
Answer:
p = -1
x=10
m < 7
Step-by-step explanation:
4(3p + 6 ) = 12
Distribute the 4
12p +24 = 12
Subtract 24 from each side
12p+24-24 = 12-24
12p = -12
Divide by 12
12p/12 = -12/12
p = -1
-5(x -4) = -30
Distribute the -5
-5x+20 = -30
Subtract 20 from each side
-5x+20-20 = -30-20
-5x=-50
Divide by -5
-5x/-5 = -50/-5
x=10
-3m + 15 > -6
Subtract 15 from each side
-3m + 15-15 > -6-15
-3m >-21
Divide by -3 remember to flip the inequality
-3m/-3 < -21/-3
m < 7
let length of one piece = x
length of other piece = 236-x
one piece is three times the length of the other
x=3(236-x)
x=708-3x
4x=708
x=177
so first piece is 177 inches long and second piece is (236-177)= 59 inches long
Answer: 1,3,5
Step-by-step explanation:
