If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f - g)(x).O A. (f- g)(x) = 2x2 + 2x - 2
O B. (f- g)(x) = -4x2 + 10x
O c. (f- g)(x) = 4x2 - 10x
O D. (f- g)(x) = -4x2 - 2x

Answers

Answer 1
Answer:

The (f-g)(x) is- 4x²+ 10x

What are functions?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element ofX. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

f(x) = - x² + 6x -1

g(x)=3x² - 4x - 1

(f-g)(x) = - x² + 6x -1 -(3x² - 4x - 1)

(f-g)(x) = - x² + 6x -1 - 3x² + 4x + 1

(f-g)(x) = - 4x² + 10x

(f-g)(x) = - 4x²+ 10x

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A point is on a circle of the distance form the center from the center of the circle to the the point is equal to the

Answers

Answer:

The Radius?

.......... ....

Answer:

C. Radius

Step-by-step explanation:

Have a good day!

Statistical techniques are classified into two major categories: descriptive and inferential. Describe the general purpose of each category. A-The purpose of (1)inferential (2)descriptive statistics is to simplify the organization and presentation of data.
B-The purpose of (1) inferential (2) descriptive statistics is to use the limited data from a sample as the basis for making general conclusions about the population.

Answers

Answer:

A-The purpose of  (2)descriptive statistics is to simplify the organization and presentation of data.

B-The purpose of (1) inferential statistics is to use the limited data from a sample as the basis for making general conclusions about the population.

Step-by-step explanation:

The descriptive statistics is used to make large data presentable into usable short forms, without which it would look impossible to solve. We draw a sample from the population and find its mean or draw histograms for the frequency distributions. This is descriptive statistics.

The inferential statistics is used to make inferences and conclusions from limited data given from a population. We do the hypothesis testing for the random samples obtained from larger populations. The hypothesis tests or the confidence intervals help us decide whether the rseults are accepted or not.

Final answer:

Descriptive statistics is used to summarize and organize data from a sample, such as providing the average or frequency of a variable. Inferential statistics, on the other hand, uses this sample data to make broad generalizations about the population.

Explanation:

The two major categories of statistical techniques are inferential statistics and descriptive statistics. The general purpose of descriptive statistics is to simplify the organization and presentation of data. They provide simple summaries about the sample and the measures. For example, we may want to know the average, maximum, minimum, or frequency of some variable.

On the other hand, inferential statistics involve using the limited data from a sample as the basis for making general conclusions about the population. They also include the theory of hypothesis testing, which is a method for testing statistical results. For example, inferential statistics would be used to determine if a difference observed between groups is a real one or if it might have happened by chance in this study.

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8 is to 32 as 9 is to N? What is N?

Answers

We have given 8 is to 32 as 9 is to N. After figuring that 4 is multiple,  So, the value of N is 36.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have given 8 is to 32 as 9 is to N.

We need to find the value of N.

8 times 4 is 32.

After figuring that 4 is multiple,

We can see that multiplying 9 by 4 gives the N.

9 times 4 is 36.

So, the value of N is 36.

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36, 8 times 4 is 32. After figuring that 4 is the multiple, you would multiply 9 by 4 giving you the N.

Find the product 8x(2x^2+8x-5)

Answers

Answer:

  16x^3 +64x^2 -40x

Step-by-step explanation:

Use the distributive property. The factor outside parentheses multiplies each term inside parentheses:

  8x(2x^2 +8x -5) = (8x)(2x^2) +(8x)(8x) +(8x)(-5)

  = 16x^3 +64x^2 -40x

The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially. How many grams of the substance are left after 300 years?

Answers

Answer:

There are 2,000 grams left after 300 years.

Step-by-step explanation:

Giving the following information:

The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.

First, we need to calculate the reduction of the substance each year:

Yearly reduction= 8,000/400= 20 grams per year

Now, for 300 years:

300 year reduction= 20*300= 6,000

There are 2,000 grams left after 300 years.

Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

Answers

Answer:

7 years

Step-by-step explanation:

Suri's age=17 years

Her cousin's age =c

Suri's age is 4 less than 3 times her cousin's age

4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age

17=3c - 4

Find c which is her cousin's age

Add 4 to both sides

17+4=3c - 4 + 4

17+4=3c

21=3c

Divide both sides by 3

21/3=3c/3

7=c

Therefore,

C= 7

Her cousin's age = 7 years