Answer:
2
Step-by-step explanation:
For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.
The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...
f'(1) = 2(1) = 2
The average rate of change of f(x) on [-2, 4] is 2.
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<em>Alternate solution</em>
The average rate of change is the slope of the line between the end points of the interval:
m = (y2 -y1)/(x2 -x1)
m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2
The average rate of change on [-2, 4] is 2.
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The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.
Answer:
it's (1, 2)
Step-by-step explanation:
you just look at where the 2 lines cross
Answer:
that sucks
Step-by-step explanation:
Answer:
If a company issues bonus shares, there will be no increase in the capital and the debt-equity ratio remains unchanged.
Step-by-step explanation:
Free additional shares offered to existing shareholders is known as a bonus issue.
Bonus issues are given to shareholders when companies are short of cash and shareholders expect a regular income. It may also be issued to restructure company reserves.
However, issuing bonus shares does not involve cash flow. It increases the company’s share capital but not its net assets.
Since bonus issues only increase the number of shares a shareholder is holding but not the ratio/percentage of holding. Thus, if a company issues bonus shares, there will be no increase in the capital and the debt-equity ratio remains unchanged.
Answer:
x = 17
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent.
∠ I = ∠P ← substitute values and solve for x
3x + 4 = 72 - x ( add x to both sides )
4x + 4 = 72 ( subtract 4 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
