Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
9514 1404 393
Answer:
13/84
Step-by-step explanation:
The relevant trig ratio is ...
Tan = Opposite/Adjacent
tan(H) = GI/HI
tan(H) = 13/84
Answer:
There is 0.1538 or 15.38% probability that the next person Rona sees will be wearing boots.
Step-by-step explanation:
Total number of People = 13
People wearing boot = 2
Experimental Probability = Number of times event occurs / Total Number of Trials
Experimental Probability = 2 / 13
Experimental Probability = 0.1538
Or
Experimental Probability = 15.38%
So, there is 0.1538 or 15.38% probability that the next person Rona sees will be wearing boots.
Answer:
The area of this shape is 252.
Step-by-step explanation:
Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.
9 x 13 = 117 (rectangle part)
15 x 9 = 135, 135/2 = 67.5
15 x 9 = 135, 135/2 = 67.5
67.5 + 67.5 + 117 = 252
Answer
I know the links make me so mad because they waste our time and they also ways people who actually know the answers time because now we can't give away bring years because we're just flooded with those type of links
Step-by-step explanation:
