Answer:
0.2071
Step-by-step explanation:
It looks like the graph is of the function ...
y = √(x +8) -2
We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.
The average rate of change on the interval is then ...
m = (0.8284 -0)/(0 -(-4)) = 0.2071
The average rate of change on the interval is about 0.2071.
_____
<em>Rougher estimate</em>
The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.
A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."
Come now ! I'm sure you could unravel it if you look at it and think about it
for a minute or two.
What's an angle bisector ? It's a line that splits an angle exactly in half.
The two little angles on each side of it are EQUAL. Each of them is exactly
half of the big angle.
So in this drawing, (3/2 x - 6) is equal to (1/4 x + 4) .
Do you think you could find 'x' ?
3/2 x - 6 = 1/4 x + 4
Add 6 to each side of the equation: 3/2 x = 1/4 x + 10
Multiply each side by 4 : 6 x = x + 40
Subtract 'x' from each side: 5 x = 40
Divide each side by 5 : x = 8
Angle CBD is 1/4 x + 4 . That's 1/4 (8) + 4 = 2 + 4 = <u>6 degrees </u>
Answer:
Step-by-step explanation:
f(x) = -5x + 8(7 - x)......when f(x) = 160
160 = -5x + 8(7 - x)
160 = -5x + 56 - 8x
160 - 56 = -5x - 8x
104 = - 13x
-104/13 = x
-8 = x <====
Answer:
$20-$3.99(milk)=$17.01÷$4.39(cereal)=4 boxes of cereal
Step-by-step explanation:
Read this article to learn about the types, functions, advantages and conflicts of line and staff organisation.
Types of Staff:
1. Personal Staff:
Personal staff is attached to individual line officers. The Personal Assistant or the Private Secretary etc. form personal staff of line managers. These persons help their bosses in every possible way. The routine work of line officers is mostly handled by the personal staff. They fix routine meetings, open the post, maintain diaries and accompany the boss on official visits. The line officers are spared of routine works and are able to devote much time for planning and execution.
2. Specialist Staff:
These are technically qualified persons who provide service to the whole organisation. They serve line and other staff in planning, organizing and coordinating their work. Their specialized knowledge is an asset to the organisation. The appointment of a legal advisor may be helpful to every department where his advice is required.
3. General Staff:
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This staff consists of persons attached to the key executives. They have the same background as that of line officers. They are attached to important functionaries as their deputies, etc. They may be appointed as Deputy Managers, Assistant Managers, Special Assistants, etc.
Functions of Staff Authority:
The staff authority is assigned the following functions:
1. Agency of Control:
It has to discharge the functions such as:
(a) Organisation;
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