Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Answer:
-392
Step-by-step explanation:
-56 x 7=-392
-392 / -56=7
Answer:
21.5secs
Step-by-step explanation:
Given the function that models the height of an object as
h(t) = -16t^2+ 344t
The object hit the ground at h(t) = 0
Substitute
0 = -16t^2+ 344t
16t^2 = 344t
16t = 344
t = 344/16
t = 21.5
Hence it takes 21.5secs for the object to hit the ground
Based on the data, the most likely correlation coefficient would be -1.
The slope between 20 and 30 days is -1, and it represents the change in the surface area of the lake per day.
The data represents correlation, not causation.
Since the data would form a perfectly straight line through the points, the correlation coefficient would be -1 for a perfect decreasing fit.
To find the slope, find the change in the surface area between those days, the change in the days, and write it as surface area/days: 80-90=-10; 30-20=10; -10/10=-1
This is not causation because there could be lurking variables we cannot see.
3/4
when it’s parallel it has the same slope!
