PLZ HELP ASAP

Find "both" answers

Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

(2, 10)

(3, 13)

Slope = m = y₂-y₁ / x₂-x₁

= (13-10) / (3-2)

= 3 / 1

= 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

= 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

RESULT

From the above calculations, we conclude that:

Slope = 3

The common difference between consecutive terms of the arithmetic sequence = 3

The difference between the terms a₂ and a₄ = 6

The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0

3 years ago

A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Keith chooses a marble at random, and without putting it back

Lelu [443]

Answer:

add the

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The dot plots show the ages of players on two soccer

Stells [14]

Answer:

if your talking about the eagles then its B. and D.

the eagles have more variability in the ages of their players and The Eagles have more players.

Step-by-step explanation:

6 0

3 years ago

Reflecting the graph of y = sinx across the y-axis is the same as reflecting it across

sp2606 [1]

Answer:

The statement is true.

Step-by-step explanation:

Given : Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis.

To find : Is this statement true or false?

Solution:

Rules of reflection :

Along across y-axis if we have a point

So, y=sinx

The reflection across y-axis→ .......[1]

Along across x-axis if we have a point

so, y=sinx

The reflection across x-axis → .....[2]

Hence, [1] and [2] both of them are equal

Therefore, the statement is true.

8 0

3 years ago

Read 2 more answers

Solve each equation. Record your work and check your solution. a. 5(x-2)+(-9)= -7(1-x)

Daniel [21]

The solution for equation is x = -6

Solution:

Given equation is:

$5(x-2) + (-9) = -7(1-x)$

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

$5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x$

Solve for terms in left hand side of equation

$5x - 19 = -7+7x$

Move the variables to one side and constants to other side

$7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6$

Thus the solution for equation is x = -6

8 0

3 years ago