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marusya05 [52]
3 years ago
9

The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

Option b

Step-by-step explanation:

A function is even if and only if f(-x) = f(x).

This means that there is the same value of y for x_0 and for -x_0

Where x_0 is any point belonging to the function .

Therefore you must select a graph whose ordered pairs are of the form (x_0, y_0) and (-x_0, y_0)

Therefore the correct answer is option b. Assume that each box in the graph equals 1 unit. Then, for x = 2 y = -3 and for x = -2 y = -3. Then it is shown that the function is even.

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The dimension of the rectangle is given as:

Length = 5x^2 - 8x + 9

Width = x + 5

<u>(1) The perimeter of the triangle</u>

This is the sum of the side lengths of the rectangle.

So, we have:

Perimeter = 2 \times (Length + Width)

This gives

Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)

Collect like terms

Perimeter = 2 \times (5x^2 - 7x + 14)

Open brackets

Perimeter = 10x^2 - 14x + 28

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<u>(2) The area of the triangle</u>

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Area = Length \times  Width

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Area = (5x^2 - 8x + 9) \times  (x + 5)

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Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45

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Area = 5x^3 - 8x^2 +25x^2+ 9x  - 40x + 45

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Hence, the area of the rectangle is 5x^3 +17x^2  -31x + 45

Read more about areas and perimeters at:

brainly.com/question/15656646

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