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Karolina [17]
3 years ago
12

Which of the following is an odd function

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Given the functions

(a) f(x) = x³ + 5x² + x

(b) f(x) = x² + x

(c) f(x) = -x

Function (a)

f(-x) = (-x)³ + 5(-x)² + (-x)  

      = -x³ + 5x² - x

      = -(x³ - 5x² + x)

The function is neither even nor odd.

Function (b)

f(-x) = (-x)² + (-x)

       = -(-x² + x)

The function is neither even nor odd.

Function (c)

f(-x) = -(-x)  

      = x

      = -f(x)

Because f(-x) = -f(x) the function is odd.

Answer: f(x) = -x is an odd function.

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Which equation represents the line that is perpendicular to and passes through (-12,6)?.
Evgesh-ka [11]

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

y-y_1=m(x-x_1)

  • m is the slope of the lne
  • (x1, y1) is any point on the line.

  • Given the equation y = 3/2x + 1, the slope of the line is 3/5

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Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

7 0
2 years ago
Can you ever use a calculator to determine if a number is rational or irrational?
timofeeve [1]
A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.

The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.
3 0
3 years ago
What is the value of x6+y2 when x equals 1 and y equals 11
Kazeer [188]

Answer:

28

Step-by-step explanation:

x equals 1

y equals 11

you would plug the numbers in

(1)6 plus (11)2 which if you multiply them

6 plus 22 would give you 28

6 0
3 years ago
Which of the following best describes the surface area of a solid figure?
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Assuming the figure has identifiable bases and sides, the total surface area is the sum of the areas of those:

... B. Base area + lateral area

4 0
3 years ago
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