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2 years ago

6

the first third and sixth terms of an arithmetic sequence are shown. what is the common difference between consecutive terms in

the arithmetic sequence 2,_,8,_,_,17,

1 answer:

diamong [38]2 years ago

8 0

Answer:it is going up by 3 each time

Source:trust me bro

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Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9

tatiyna

Answer:

The solution to the system of equations is

$\begin{gathered} x=\frac{179}{13} \\ \\ y=-\frac{279}{39} \\ \\ z=-\frac{48}{13} \end{gathered}$

Explanation:

Giving the system of equations:

$\begin{gathered} x+3y-z=-4\ldots\ldots\ldots\ldots\ldots\ldots..........\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(1) \\ 2x-y+2z=13\ldots\ldots...\ldots\ldots\ldots\ldots..\ldots..\ldots\ldots\ldots\ldots\ldots.(2) \\ 3x-2y-z=-9\ldots\ldots\ldots.\ldots\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(3) \end{gathered}$

To solve this, we need to first of all eliminate one variable from any two of the equations.

Subtracting (2) from twice of (1), we have:

$5y-4z=-21\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots..\ldots..\ldots\ldots.\ldots..\ldots\text{...}\mathrm{}(4)$

Subtracting (3) from 3 times (1), we have

$3y-5z=-3\ldots\ldots...\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(5)$

From (4) and (5), we can solve for y and z.

Subtract 5 times (5) from 3 times (4)

$\begin{gathered} 13z=-48 \\ \\ z=-\frac{48}{13} \end{gathered}$

Using the value of z obtained in (5), we have

$\begin{gathered} 3y-5(-\frac{48}{13})=-3 \\ \\ 3y+\frac{240}{13}=-3 \\ \\ 3y=-3-\frac{240}{13} \\ \\ 3y=-\frac{279}{13} \\ \\ y=-\frac{279}{39} \end{gathered}$

Using the values obtained for y and z in (1), we have

$\begin{gathered} x+3(-\frac{279}{39})-(-\frac{48}{13})=-4 \\ \\ x-\frac{279}{13}+\frac{48}{13}=-4 \\ \\ x-\frac{231}{13}=-4 \\ \\ x=-4+\frac{231}{13} \\ \\ x=\frac{179}{13} \end{gathered}$

8 0

1 year ago

PLEASE HELP ME ASAP THIS IS DUE IN LESS THEN A HOUR PLEASE

Molodets [167]

Answer:

4

Step-by-step explanation:

because im smart

3 0

2 years ago

Whats 2 plus 2? Whats 10 plus 10? And whats 8 plus 8?

Ivenika [448]

$\bold{THE \: ADDITION}$

or addition is the mathematical operation of composition that consists of combining or adding two or more numbers to obtain a final or total quantity. The addition also illustrates the process of joining two collections of objects in order to obtain a single collection

----------------------------------------------------------------------------------------------

$\red{ \huge{ \texttt{ACTIVITY}}}$

Whats 2 plus 2?
$\boxed{2+2=4}$
Whats 10 plus 10?
$\boxed{10+10=20}$
And whats 8 plus 8?
$\boxed{8+8=16}$

----------------------------------------------------------------------------------------------

$\bold{BRAINLY MENTALMENTE}$

3 0

2 years ago

Read 2 more answers

The temperature was -2F. Dropped 9F. What is the temperature after it dropped 9F

xz_007 [3.2K]

-11 degrees F I hope this helps

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2 years ago

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What are the slope and y-intercept for the graph of y – 7x = 10?

alex41 [277]

Answer:A. slope: 7, y-intercept: 10

Step-by-step explanation:

Transform the equation into slope intercept form, y=7x+10. In the form y=mx+b, m = slope and b = y-intercept

7 0

3 years ago