The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.
<h3>What is a Function ?</h3>
A function is a law that relates a dependent variable and an independent variable with each other
It is given that
y = 2tan (x - π/2) +3
To find the zeroes of a function that function has to be equated to zero.
2tan (x - π/2) +3 = 0
2tan (x - π/2) = -3
tan (x - π/2) = -3/2
x - 90 = -56.31
x = 33.69 degree
The zero of the function is at 33.69 degree
For finding the maxima /minima
the derivative is
dy/dx = 2 sec² (x - π/2)
the point at which the slope is zero is substituted in the second derivative to find maxima/minima
d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)
if the value is negative then it is a maxima and if it is positive it is a minima.
The vertical asymptote is found by finding the values that make the function undefined
x = 0+ πn
No horizontal or oblique asymptote
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2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
Answer:
5 i think. im not good at math. sorry if wrong
The denominator in the earnings per share formula is number of common shares outstanding.
What is the denominator used in the computation of earnings per share?
- The weighted average of the outstanding shares of common stock serves as the numerator of the earnings per share.
- The "per share" part necessitates further computation when the number of common shares changes in the middle of the year.
- The weighting of the per share part depends on how long each share number has been in circulation.
How are basic earnings per share determined?
- Basic EPS is calculated by dividing net income by the weighted average of the common shares outstanding for the relevant period.
- Preferred dividends should be removed from the net income because they are not available to common stockholders.
- Net income can also be broken down into "continuing operations" P&L and "total P&L".
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Answer: 4x
Step-by-step explanation: Move all terms that don't contain y to the right side and solve. y = 4x