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slega [8]
3 years ago
12

Create a table for x and y y= -2/3 +7 the function of the is domain -12, -6, 3,15

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

Attention! the "x" variable was missing in your typed question, but I am assuming that the actual function was defined by: y=-\frac{2}{3} x+7

Table:

\left[\begin{array}{cc}x & y\\-12&15\\-6&11\\3&5\\15&-3\end{array}\right]

Step-by-step explanation:

In order to complete the requested table, we need to evaluate "y" for the four given values of the "x" variable in the Domain: {-12. -6, 3, 15}

Evaluation:

y=-\frac{2}{3} x+7\\y=-\frac{2}{3} (-12)+7=8+7=15

y=-\frac{2}{3} x+7\\y=-\frac{2}{3} (-6)+7=4+7=11

y=-\frac{2}{3} x+7\\y=-\frac{2}{3} (3)+7=-2+7=5

y=-\frac{2}{3} x+7\\y=-\frac{2}{3} (15)+7=-10+7=-3

The table therefore will be:

\left[\begin{array}{cc}x & y\\-12&15\\-6&11\\3&5\\15&-3\end{array}\right]

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13. For the arithmetic sequence: 6, 12, 18, 24,...
serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6

The general form for arithmetic sequence is:

a_n=a_1+(n-1)d

Putting the values for a_1 and d

a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n

<u>a) Find a15</u>

a_{15} = 6(15)\\=90

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

4 0
3 years ago
You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct a
Nostrana [21]

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3

Possible\ Ways = 729

<em>Hence, there are 729 ways of answering the question</em>

4 0
3 years ago
How do I simplify this
velikii [3]
512x^3 would be the answer 
7 0
3 years ago
A rabbit's fur grows at the rate of 5 over 2 inches per month. How many months will it take the rabbit's fur to grow 15 over 4 i
Pavel [41]
5/2 inches per month * t = 15/4 inches
<span>t = ( 15/4 ) / ( 5/2) </span>
<span>t = 1.5 months</span>
7 0
3 years ago
I NEED HELP!!! PLEASE!!!!!!!!!!!!!!!!!
ale4655 [162]
The awnser to ur question is A because take 2.3 time 3 and get 6.9 and then add the 108 and -3 and get 105
3 0
3 years ago
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