Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
Since the polys are similar, the following equation of ratios is true:
7/8 = x/3. Cross multiplying produces 21=8x, and so x = 21/8 (answer)
The answer would be X= -5
Answer:
16
Step-by-step explanation:
8/ 2*(2+2) = 4*(2+2) = 4*4 = 16
Y=mx+b is the equasion of a line.