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3 years ago

The number 0.7777 repeats forever therefore it is irrational true or false?

Mathematics

1 answer:

DochEvi [55]3 years ago

4 0

Answer:

It's false, this number is a rational number.

Step-by-step explanation:

It's false, the kind of decimal where the same digits repeats forever are known as periodic decimals and they can be represented with fractions therefore they are a part of the rational numbers. To represent this number in a fraction form we need to first identify the part that repeats, in this case it's 7, since it's only one number we can insert it in the numerator and the denominator will have a 9, if it were two numbers the denominator would have a 99 and so on. So in this case:

7/9 = 0.7777...

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3 years ago

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Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

-8(2x2 - 3x - 2) = 0

-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) = −16x2 + 24x + 16

= -16(x^2 - 1.5x) + 16

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= -16(x - 0.75)^2 - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

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2 years ago

Math Homework help please!

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4 years ago

Simplify the expression below. Then classify the resulting expression

evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

3x² + 6x + 5 - 3x (2 + x)

<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= $\boxed{5}$

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

Monomial: a polynomial with only one term
Binomial: a polynomial with two terms
...

<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

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