Find the slope of the given line, if it is defined. (if an answer is undefined, enter undefined.) 2x + 3 = 0

A) Write the sequence of natural numbers which are multiplied by 3 ?

Volgvan

Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) $f(n) = 3\cdot n$

$\Delta f = f(n+1) -f(n)$

$\Delta f = 3\cdot (n+1) -3\cdot n$

$\Delta f = 3$

(ii) $f(n) = 3\cdot n +1$

$\Delta f = f(n+1)-f(n)$

$\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)$

$\Delta f = 3$

Both sequences are arithmetic.

8 0

3 years ago

Using the even points the time in the slope (8,1) and (8,4)

VikaD [51]

Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!

6 0

3 years ago

Read 2 more answers

For each lettered part, a through c, examine the two given sets of numbers. without doing any calculations, decide which set has

romanna [79]

Standard deviation shows the distribution present in a set. Range can be used to approximate this property. Therefore, Set b (100, 140, 150, 160, 200 10, 50, 60, 70, 110) has the largest standard deviation because it has a range of 190 (i.e. 200 - 10)

5 0

3 years ago

Explain why the graph below does not represent a direct variation

Nitella [24]

Answer:

C. The line does not go through the origin.

Step-by-step explanation:

We have been given a straight line graph that doesn't pass through origin (0,0) and has y-intercept at (0,3).

Now we need to decide why that graph doesn't represent a direct variation.

We know that graph represents variation when it passes through origin. But since given graph doesn't passes through origin so it doesn't represent the direct variation.

Correct choice is :

C. The line does not go through the origin.

4 0

3 years ago

Read 2 more answers

252n+1 = 625 lve each equation. Round ans Whats the answer

fenix001 [56]

Answer:

N=2.476

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers