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
Answer:
I would answer if I could see the following expressions :)
B. 4 minus the quotient of a number and 3
The quotient means the number you get after dividing, so
x/3 would give you the quotient, which is then subtracted from 4
Equation of a line that passses through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
perpendicular lines have slopes that mulitply to get -1
given
y-2=7/3(x+5)
slope is 7/3
perpendicular
7/3 times slope=-1
times 3/7 both sides
slope=-3/7
given point is (-5,2)
y-2=-3/7(x-(-5))
y-2=-3/7(x+5)
C is answer
Another way to think about this is... The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. <span>This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).</span>
