Answer:
Simplifying
4x + 9 = 12x + -3
Reorder the terms:
9 + 4x = 12x + -3
Reorder the terms:
9 + 4x = -3 + 12x
Solving
9 + 4x = -3 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
9 + 4x + -12x = -3 + 12x + -12x
Combine like terms: 4x + -12x = -8x
9 + -8x = -3 + 12x + -12x
Combine like terms: 12x + -12x = 0
9 + -8x = -3 + 0
9 + -8x = -3
Add '-9' to each side of the equation.
9 + -9 + -8x = -3 + -9
Combine like terms: 9 + -9 = 0
0 + -8x = -3 + -9
-8x = -3 + -9
Combine like terms: -3 + -9 = -12
-8x = -12
Divide each side by '-8'.
x = 1.5
Simplifying
x = 1.5
Step-by-step explanation:
Answer:
1. 
Step-by-step explanation:
We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.
Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.
We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.
Therefore, the expression can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.
He can win 3 more tickets to get a prize.
30 tickets to win a prize - 27 tickets won already = 3 more tickets needed to win a prize.
1/6 can be be 4/24, 1/3 can be 8/24, and 1/4 can be 6/24. Add them together and you get 18/24, then do 1 (or 24/24) minus 18/24 which equals 6/24 or 1/4
Answer:
Number 1= 5th vertical line
number 2= 2nd vertical line
number 3= halfway between 2nd and 3rd vertical line
Step-by-step explanation:
