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3 years ago

Nth term of 1 8 15 22 29

2 answers:

8 0

This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6

The above is the "rule" for the nth term.

Karolina [17]3 years ago

7 0

This is an aritmetic sequence where the terms increase by 7
So the common difference d = 7 . The first term is 1

nth term = a1 + (n-1)d
= 1 + (n-1)7
= 7n - 6

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For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18

anyanavicka [17]

Solution:

Given:

$4x-6y\leq-18$

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

$\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24$

$\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}$

Therefore, the correct answers are selected as shown below;

7 0

1 year ago

Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last yea

loris [4]

The sample proportion of the the students that took fewer than the mean number of electives is given by the number of people who took less that the mean number of electives (i.e. 7.63) divided by the total number of students in the sample (i.e. 19). The total number of people who took less than 7.63 electives is 10. Therefore, the required sample proportion is 10 / 19.

Read more on Brainly.com - brainly.com/question/1687069#readmore

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3 years ago

PLEASE PLEASE PLEASE HELP ME YALL‼️‼️‼️‼️‼️

Inessa [10]

Answer:

Hi .. im happy to help

answer is 0.033

Step-by-step explanation:

P = C(4,4)÷C(10,4)

P = 1 ÷ 30

$p = \frac{1 }{30}$

p = 0.033

3 0

3 years ago

How modeling subtraction with fraction strips is different from modeling addition strips

Wewaii [24]

Instead of adding more fraction strips you would take some away to get a smaller number.

8 0

3 years ago

Question 6<br> Find the slope of the line passing through the points (11,-5) and (11,6)

zimovet [89]

There are two ways to approach this.

Option #1:

Use the slope formula $m = \dfrac{y_2-y_1}{x_2-x_1}$ .

$m= \dfrac{6-(-5)}{11-11} = \dfrac{11}{0}$

That value is undefined, so the slope is undefined.

Option #2:

Because the two points have the same x-value, they will be vertically above/below one another. This means your line is a vertical line and the slope of a vertical line is undefined.

Either way, your slope is undefined.

3 0

3 years ago