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3 years ago

Which number is an irrational number? (1 point)

Mathematics

1 answer:

NemiM [27]3 years ago

8 0

Answer: The answer is (B). 1.01257486...

Step-by-step explanation: We are given four real numbers out of which we are to select the one which is irrational.

Option (A) is 0.12, in which the digits after the decimal are terminating. So, the number is rational.

Option (B) is 1.01257486..., the digits after the decimal are non-terminating and non-recurring. So, the number is irrational.

Option (C) is 0.1212121212..., in which the digits after the decimal are non-terminating and recurring. So, the number is rational.

Option (D) is 0.11111111..., in which the digits after the decimal are non-terminating and repeating. So, the number is rational.

Thus, (B) is the correct option.

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Enter your answer and show all the steps that you use to solve this problem in the space provided.

rodikova [14]

Answer:

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³ - 7x + 4

(b) Create a subtraction problem using the two functions

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x) = 4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

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