MATHEMATICS COLLEGE

How many fixed points are there for the function f(x)=x^4

Answers

Answer 1

Answer:

The fixed points in the function f(x) = x^4 are:

x = 0, x = 1, x = -0.5 - 0.866i, and x = -0.5 +0.866i

The given function is:

$f(x) = x^4$

The fixed points of a function f(x) is determined by solving f(x) - x = 0

$x^4 - x = 0\nx(x^3-1) = 0\nx(x-1)(x^2+x+1) = 0$

Equate each of the terms to zero:

x = 0

x - 1 = 0

x = 1

$x^2+x+1 = 0\n\nx = (-b\pm √(b^2-4ac) )/(2a) \n\nx = (-1\pm √(1^2-4(1)(1)) )/(2(1)) \n\nx = (-1\pm √(-3) )/(2)\n\nx= (-1\pm i√(3) )/(2)\n\nx = (-1 \pm i√(3) )/(2)\n\nx= -0.5\pm0.866i\n\nx_1 = -0.5-0.8661\n\nx_2 = -0.5+0.866i$

Therefore, the fixed points in the function f(x) = x^4 are:

x = 0, x = 1, x = -0.5 - 0.866i, and x = -0.5 +0.8661

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Answer 2

Answer:

Answer:

What is this?

Step-by-step explanation:

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(Algebra II) Solve the equation or formula for the indicated variable. a = 4b5h, for h

Could you explain the process to solve this type of problem? I have ten to do and this is only #1. I need to be able to solve it on my own before I continue with my lesson.

Answers

Divide by A and b5 to both sides. You can rule out option A and B. You're dividing both sides by 4b5 to isolate h by itself. Remember that when you didivde by same term aa=1 you get ONE. so h is alone. The answer is D.

Hello, could someone please help me with this

Answers

Answer:

27.825

Step-by-step explanation:

Sure!

To turn a fraction into a decimal you simply divide 33 by 40. The whole number - 27 - can stay.

27 33/40 = 27 + (33/40)

= 27 + 0.825

= 27.825

Mark brainliest if possible, have a nice day!

Solve for the portion. Round to hundredths when necessary.What is the portion if the base is 1,850 and the rate is 150%?

Answers

The portion is $2,475 if the base is 1,850 and the rate is 150%.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

We have to determine the portion if the base is 1,850.

Here rate is 150% or 150/100 = 1.50.

The base = 1,650.

Since the portion is the multiplication of base and rate.

The portion = base × rate.

The portion = 1650 × 1.50.

The portion = $2,475

Therefore, the portion is $2,475 if the base is 1,850 and the rate is 150%.

Answer:

portion = base * rate. rate is 150% or 150/100 = 1.50. base = 1,650. portion = 1650*1.50. portion = $2,475

Step-by-step explanation:

plz mark brainliest!!!!!!!!!!!!!!!!!!!!!!!!

Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player gets $500 in virtual money for each race won. What function represents the amount of virtual money a player has in terms of the number of races won?The independent quantity is the (blank), and the dependent quantity is the (blank). The function representing the situation is (blank).

Ist blank choices- A.) amount of virtual money B.) number of races completed C.) number of races won 2nd blank choices- A.) amount of virtual money B.) number of races completed C.) number of races won 3rd blank choices- A.) y=500x-5,000 B.) y=5,000x+500 C.) 5,000x-500 D.) y=500x+5,000

Answers

3rd is definitely D.

Rewrite the equation by completing the square. x^2-14+33=0

Answers

Answer:

(x - 7)² = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Completing the Square

Step-by-step explanation:

Step 1: Define

x² - 14x + 33 = 0

Step 2: Rewrite

Isolate x terms: x² - 14x = -33
Complete the Square: x² - 14x + 49 = -33 + 49
Reduce: (x - 7)² = 16

And we have our rewritten form!

One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?

Answers

Answer:

Step-by-step explanation:

so because there is 1 cup of kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.

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