Answer:
The widgets should be sold for $26.7 for the company to make the maximum profit.
Step-by-step explanation:
Given the quadratic equation
As the leading coefficient is (-3), so the graph would be a downward Parabola.
Thus, the maximum profit would be at the vertex.
The selling price 'x' can be determined by determining the x-coordinate of the vertex.
In order to calculate the x-coordinate of the vertex, we can find this by
x = -b/2a
where a = -15 and b = 801
x = -801 / 2(-15)
x = -801/-30
x = 801/30
x = 267/10
x = 26.7
Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.
Answer:
Average speed = 15
Step-by-step explanation:
To find the speed of the body, we can take the position equation and take the derivative in relation to time:
Speed = dY/dt = 2*3*t = 6t
Then, we need to find the speed at t=0 and the speed at t=5:
Speed(t=0) = 6*0 = 0
Speed(t=5) = 6*5 = 30
Now, we just need to make the average of both speeds:
Average = (0 + 30) / 2 = 15
Answer:
THE ANSWER ON E2020
Step-by-step explanation: When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Same side interior angles have a sum of 180 degrees
49 + x = 180 degrees
x = 180 - 49 = 131 degrees
Solution: 131 degrees