Answer:
7.1 (7.06 rounded to the tenth)
Step-by-step explanation:
The formula for Area of a Circle is: π·r²
R = Radius
π = pi, or 3.14
As long as you know the formula, this is easy!
In class, you may have already been told that the radius is <em>half </em>of the diameter.
1. Half of 3 ft is 1.5 ft.
2. Plug 1.5 in for r, in your calculator
3. Do the calculation, and you should come out to get 7.06858347058
4. Round it!
Finding area for a circle is satisfying, isn't it? xD
Answer:
-20 gallons per minute
Step-by-step explanation:
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750
Correct answer is C)</span>
Step-by-step explanation:
2x - 3y = 9
2x + 3y = 3
__________ -
-6y = 6
y = -1
2x - 3y = 9
2x - 3(-1) = 9
2x - (-3) = 9
2x = 12
x = 6
