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dem82 [27]
3 years ago
13

consider the quadratic function: f(x) = x2 – 8x – 9 Vertex: What is the vertex of the function? ( , )

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
6 0

ANSWER IS 4 , -25   Step-by-step explanation:

Aleksandr [31]3 years ago
5 0

Answer:

The vertex point of the function is (4 , -25)

Step-by-step explanation:

- Lets explain how to find the vertex of the quadratic function

- The form of the quadratic function is f(x) = ax² + bx + c , where

 a , b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept (numerical term)

- The x-coordinate of the vertex point is -b/a

- The y-coordinate of the vertex point is f(-b/a)

* Lets solve the problem

∵ f(x) = x² - 8x - 9

∴ a = 1 , b = -8 , c = -9

∵ The x-coordinate of the vertex point is -b/a

∴ The x-coordinate of the vertex point = -(-8)/2(1) = 8/2 = 4

- To find the y-coordinate of the vertex point substitute x by 4 in f(x)

∵ f(4) = (4)² - 8(4) - 9

∴ f(4) = 16 - 32 - 9

∴ f(4) = -25

∵ f(4) is the y-coordinate of the vertex point

∴ The y-coordinate of the vertex point is -25

∴ The vertex point of the function is (4 , -25)

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The dividend per share for each class of stock can be computed by dividing the total dividend distributed by the number of shares outstanding.

For cumulative preferred stock, the unpaid dividends in a year are carried forward for distribution when profits are made.  Note also that preferred stock dividends enjoy preferential payment before common stock dividends.

<h3>Data and Calculations:</h3>

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Thus, the dividends distribution of Lightfoot Inc. shows that the common stockholders started earning dividends after the second year.

Learn more about cumulative preferred stock dividends at brainly.com/question/14006397

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