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
Answer:
Without the '...' the answer is -5230.
Step-by-step explanation:
Answer:
500 metres
Step-by-step explanation:
As per the question statement:
Randy walks all the way around the block and stops when he gets back to where he started.
Distance of 1 unit is 10m.
Please refer to the image attached:
Let us assume that he starts from point <em>A</em> and then moves towards point <em>B</em>, then towards point <em>C </em>and then <em>D </em>and finally reaches point <em>A </em>back.
While walking from A to B, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
While walking from B to C, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
Similarly, C to D, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
Similarly, D to A, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
Total distance traveled is 110 + 140 + 110 + 140 = <em>500 metres.</em>
Well a quarter is = to 25 and a nickel is = to 5 so we know that there are fewer Nickels than quarters, therefore we know that we should you 4 quarters 5 times to build 5 dollars which is 20 quarters and use the nickels to build up 20 which would 4 since it be (5,10,15,20) counted by 5’s hope that hopes bby bops
