Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
Easiest way:
Look at A and C. To get from A to C you need 6 steps to the right and 2 steps upwards.
Slope means (in layman's terms) that how many steps you take upwards when you take 1 step to the right.
In your case you take 2/6 steps, because it would take you 6 steps to the right to go 2 steps upwards.
A slope of 4 would mean that 1 step to the right is followed by 4 steps upwards. A slope of -5 means 1 step to the right, 5 steps downwards.
To get from A to E you need 9 steps to the right and 3 steps upwards. This means a 3/9 slope. The simplest form of it is 1/3.
1/3 slope means that for every 3 steps to the right you take 1 step upwards.
I hope this was understandable, this is how they taught me this in 5th grade more than a decade ago.
Answer:
y = -20x + 100
Step-by-step explanation:
As per your requirement For Part B, the solution is
The equation in slope-intercept form to model the relations is below:-
To reach 2 points on the graph the line passes through
lets use p1(0, 100), p2(1, 80)
now we will compute the slope:


= -20
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 100 = -20(x - 0)
y = -20x + 100
Answer: Stephens dog weighs 60 pounds
Step-by-step explanation: