Find the radius of a circle whose circumference is 9pie
2 answers:
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Alright, lets get started.
The Denver office has 137 employees with an average salary of $67,013.
So the total salay of all employees at Denver office will be =
So the total salay of all employees at Denver office will be = $ 9180781
The Anchorage office has 25 employees with an average salary of $71,332.
So the total salary of employees at Anchorage office will be =
So the total salary of employees at Anchorage office will be = $ 1783300
So, complete total salary of employees at both offices will be =
So, complete total salary of employees at both offices will be = $ 10964081
Total number of employees at both offices are =
So, the average salary of employee across the company =
So, the average salary of employee across the company = 67679.5
Rounding off,
So, the average salary of employee across the company = $ 67680 : Answer
Hope it will help :)
Answer:
- Part (a) Vertex = (-3, -1)
- Part (b) Vertex = (4, 5)
- Part (c) function 2; max value = 5
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Explanations:
Part (a)
In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)
If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.
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Part (b)
We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.
The given equation is in the form y = ax^2 + bx + c where in this case
- a = -2
- b = 16
- c = -27
The a and b values are plugged into the formula below to get
h = -b/(2a)
h = -16/(2*(-2))
h = -16/(-4)
h = 4
This is the x coordinate the vertex since the vertex is (h,k)
To find k, we plug that value of h into the original function to find its corresponding y value.
y = -2x^2 + 16x - 27
y = -2(4)^2 + 16(4) - 27
y = -2(16) + 16(4) - 27
y = -32 + 64 - 27
y = 5
We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)
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Part (c)
We'll compare the y values of each vertex
- Function 1 has a vertex of (-3, 1)
- Function 2 has a vertex of (4, 5)
The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.
The max value here is y = 5. In other words, it's the maximum output the function can produce.
If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.
