From the ratio given we know that there is 3 times more cats than dogs.
If there are 15 cats, then there are 15/3 dogs or 5 dogs.
answer: 5 dogs
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>
Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find y
The attached triangle is isosceles; so:
Also, we have:
--- angles in a triangle
Substitute:
Collect like terms
Answer:
y=3
Step-by-step explanation:
Let's solve your equation step-by-step.
5y−3y+1=7
Step 1: Simplify both sides of the equation.
5y−3y+1=7
5y+−3y+1=7
(5y+−3y)+(1)=7(Combine Like Terms)
2y+1=7
2y+1=7
Step 2: Subtract 1 from both sides.
2y+1−1=7−1
2y=6
Step 3: Divide both sides by 2.
2y
/2
=
6
/2
y=3
Answer:
In order to calculate perimeter, you need to add together the lengths of all four sides of the square. You are given the length of one side. Remember, all sides of a square are equal, so really you already have the measures of each side. Then, you add them together, so 6 + 6 + 6 + 6 = 24 inches.
Step-by-step explanation:
