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3 years ago

Did I get this right plz be honest if i fail this i will fail this class

Mathematics

1 answer:

anyanavicka [17]3 years ago

6 0

Step-by-step explanation:

Part A

A) The denominator is 665, so this is a terminating decimal.

B) 11/99 = 1/9 = 0.1111...

C) 256/999 = 0.256256256...

D) 25/909 = 275/9999 = 0.027502750275...

B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits. So the correct answer is C.

Part B

A decimal that can be written as a ratio of integers is a rational number.

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Step-by-step explanation:

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3 years ago

Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x

mote1985 [20]

GIVEN:

We are given the following polynomial;

$x^3+x^2+4x+4$

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

$(x^3+x^2)+(4x+4)$

We now take the common factor in each group;

$\begin{gathered} x^2(x+1)+4(x+1) \\ \\ (x^2+4)(x+1) \end{gathered}$

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

$\begin{gathered} x^2+4=0 \\ \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\ \\ x^2=-4 \\ \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\ \\ x=\pm\sqrt{-4} \\ \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\ \\ x=\pm2i \end{gathered}$

Therefore, the factors of the other parenthesis are;

$(x+2i)(x-2i)$

Therefore, the complete factorization of the polynomial is;

ANSWER:

$(x+1)(x+2i)(x-2i)$

Option C is the correct answer.

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1 year ago

Question attached as screenshot below: ONLY QUESTION 5 I have the answers to 1-4

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Given:-

$x^3-6x$

To graph and explain.

So the graph of the given function is,

An integral in mathematics is either a numerical value equal to the area under the graph of a function for some interval or a new function, the derivative of which is the original function.