Answer:
y = -3/2 x +5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
m= (8--1)/(-2-4)
m= (8+1)/(-2-4)
m= (9/-6)
m=-3/2
point slope form
y-y1=m(x-x1)
y--1 = -3/2(x-4)
distribute
y+1 = -3/2x +3/2 *4
y+1 = -3/2x + 6
subtract 1 from each side
y = -3/2 x +6-1
y = -3/2 x +5
this is in slope intercept form (y=mx+b)
21 divide by 4 is 5.25. She travels 5.25 miles per hour. 42 divide by 5.25 is 8. It would take 8 hours for Shelly to bike 42 miles.
Answer:
$5829.57
Step-by-step explanation:
Annually compounding interest formula: 
5000(1+.0525)^3
5829.567266
which rounds to: 5829.57
To find the area between the x-axis and the parabolic curve, take the integral of the area in which the curve is above the x-axis.
function of the graph is
y = 4x - x²
We can tell by the function (specifically -x²) that the parabola will point downward.
To find the domain in which y>0, let's find the roots (0's) of the function:
0 = 4x - x²
0 = x (4 - x)
x = 0 or x = 4
Between x=0 and x=4, the curve is above the x-axis. To find the area of the graph, let's take the integral on this range:
First, take the antiderivative of 4x - x²:
2x² - (1/3) x³
Then, plug x=4 into the anti-derivative, and subtract the anti-derivative at x=0:
2(4)² - (1/3)(4³) - (0 - 0)
32 - 64/3
96/3 - 64/3 = 32/3
Closest Answer is C) 10
