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Lena [83]
2 years ago
7

Write a quadratic function F whose zeros are 12 and 1

Mathematics
1 answer:
Solnce55 [7]2 years ago
4 0

Answer:

f(x) = (x-12)(x-1)

Step-by-step explanation:

So when you have a quadratic equation it can usually be expressed as: a(x-b)(x-c) where b and x are the roots of the equation. Since it's just asking for a function whose zeroes are 12 and 1, I'm assuming it doesn't care about the stretch/compression (value of a determines that), so I'll just assume a=1. if 12 and 1 are zeroes, that means it makes one of the factors equal to 0 because is x-b = 0 then no matter the value of x-c the value of y is 0 because 0 * (x-c) will be 0. So the equation becomes f(x) = (x-12)(x-1) plugging in 12 or 1 as x will make one of the factors 0 thus making f(x) equal to 0

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6 0
4 years ago
PLEASE HELP!
3241004551 [841]

The question is incomplete. Here is the complete question.

The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).

(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.

Number of years and salaries of members of the two governing bodies

------------------------------------------------------------------------------------------------

Years since 2008                   Salary (thousands of dollars)

------------------------------------------------------------------------------------------------

            0                                              (2._) + ___

            1                                               (2._) + ___

            2                                              (2._) + ___

            3                                              (2._) + ___

            4                                              (2._) + ___

             t                                              ________

----------------------------------------------------------------------------------------------------

(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?

Answer: (a) The blank space inside the parenthesis is the number of years and the 2nd blank space is the salary: $167.2 thousand.

The last blank space is 2.t + 167.2.

(b) The value for t = 5 is 177.2 thousand.

Step-by-step explanation: The table in (a) is the description of the salaries per year. After 2008, there is an increase of 2000 per year.

Assuming t is in years, the expression for the salaries per year will be:

s = 2.t + 167.2

For part (b), t = 5. Substitute it into the equation, it is:

s = 2.t + 167.2

s = 2.5 + 167.2

s = 177.2

This means that in <u>year</u> <u>5</u>, the salary will be $ 177.2 thousand.

4 0
4 years ago
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