Can someone help me with this math problem? and show me the work? please haha

Could someone please help me with this? I would mark you as Brainliest:)

Hunter-Best [27]

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

5 26

b) The algebraic expression for the general term of the sequence is $a(i) = 6 + 5\cdot (i - 1)$ .

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

5 26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

$a(i) = a_{1} + r\cdot (i - 1)$ (1)

Where:

$a_{1}$ - First element of the sequence.

$r$ - Arithmetic difference.

$i$ - Index.

If we know that $a_{1} = 6$ and $r = 5$ , then the algebraic expression for the general term of the sequence is:

$a(i) = 6 + 5\cdot (i - 1)$

c) If we know that $a(i) = 6 + 5\cdot (i - 1)$ and $i = 25$ , then the 25th term in the sequence is:

$a(25) = 6 + 5\cdot (25 - 1)$

$a(25) = 126$

The 25th term in the sequence is 126.

7 0

2 years ago

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

iragen [17]

Answer:

y = 2x + 2

Step-by-step explanation:

The general form

is;

y = mx + b

where m is the slope and b is the y-intercept

so we have;

y = mx + 2

To get m, substitute the point (-1,0)

So we have

0 = -m + 2

m = 2

So the equation is;

y = 2x + 2

4 0

3 years ago

Identify the vertex of the function graphed below.

77julia77 [94]

Answer: (3, -2)

Step-by-step explanation:

The vertex is the highest or lowest point of a parabola, and I found it. Hope this helps :)

7 0

3 years ago

The Kroger Company is one of the largest grocery retailers in the United States with over two thousand grocery stores across the

Ilia_Sergeevich [38]

Answer:

1) Categorical

2) Norminal

Step-by-step explanation:

1)

The data collected by Kroger in this example categorical or quantitative identified below:

From the given information, Kroger uses an online customer opinion to obtain the data about its products and services. All the questions based on yes or no type questions. Here the questions are ‘products that have a brand name, products that are environmentally friendly, products that are organic’ these type of questions cannot be expressed numerically so the data collected by Kroger Company is categorical variable because these answers of the questions cannot be counted.

Any variable which is grouped into two or more attributes then it is a categorical variable. The data collected by Kroger Company is categorical variable and any variable which can be counted or measured in numerical then it is quantitative variable.

2)

The measurement scale is identified below:

Here the variable cannot be counted in numerical sale so the level of measurement cannot be ratio, interval because ratio and interval scale can be used for numerical data. The nominal scale can be used to identify the ‘products that have a brand name, products that are environmentally friendly, products that are organic, products that have been recommended by others’ because natural order need not be used.

The ratio and interval scale can be used for Quantitative data and nominal and ordinal scale can be used for Qualitative data. When the order is needed to categorize the objects Ordinal scale is used, when the order is not needed to categorize the objects Nominal scale is used.

3 0

3 years ago

Solve for x.

Tamiku [17]

The answer to the question is a

5 0

2 years ago