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3 years ago

Evaluate the function. f(x)=−3x²+9x−8 find f(5)

Mathematics

1 answer:

Aloiza [94]3 years ago

3 0

Answer:

f(5) = -38

Step-by-step explanation:

Given the function

f(x)=−3x²+9x−8

Evaluating the function

f(x)=−3x²+9x−8

f(5) = −3(5)²+9(5)−8

f(5) = -75+45-8

f(5) = -38

Therefore, we conclude that:

f(5) = -38

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Question: Consider the similarity transformation of ΔABC to produce ΔEDF.

german

Answer:

see the explanation

Step-by-step explanation:

we have triangle ΔABC

step 1

Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'

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A rotation is a rigid transformation

An object and its rotation are the same shape and size, but the figures may be turned in different directions

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ΔABC≅ ΔA'B'C

step 2

Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF

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Find the scale factor of the dilation

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z ----> the scale factor

$z=\frac{ED}{AB}=\frac{DF}{BC}=\frac{EF}{AC}$

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4 years ago

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3 years ago

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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 year 5, the salary will be $ 177.2 thousand.

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4 years ago