Answer:
Just use the faucet.. Duhhhh...
Step-by-step explanation: Turn the thing to get the thingy to give water. Duhhhhhh...
Answer:
solution is (-2,4)
Step-by-step explanation:
Let’s graph both equations.
solve for y
Make a table to graph the equation
x y=-x+2
0 y=2
1 y=1
Graph the points (0,2) and (1,1) . then extend the line that connects two points
x y=(1/2)x+5
0 y=5
2 y=6
Graph the points (0,5) and (2,6) . then extend the line that connects two points
The graph is attached below
Both lies intersects at (-2,4)
Answer:
A) The first 4 terms of the sequences are:
,
,
and
.
B) An explicit formula for this sequence can be written as: ![a_{n} =8*(n+1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D8%2A%28n%2B1%29)
C) A recursive formula for this sequence can be written as:
![\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Ba_%7B1%7D%20%3D16%7D%20%5Catop%20%7Ba_%7Bn%7D%20%3Da_%7Bn-1%7D%2B8%7D%7D%20%5Cright.)
Step-by-step explanation:
A) You can find the firs terms of this sequence simply selecting an odd integer and summing the consecutive 3 ones:
(a.1)
![a_{1}=1+3+5+7=16](https://tex.z-dn.net/?f=a_%7B1%7D%3D1%2B3%2B5%2B7%3D16)
![a_{2}=3+5+7+9=24](https://tex.z-dn.net/?f=a_%7B2%7D%3D3%2B5%2B7%2B9%3D24)
![a_{3}=5+7+9+11=32](https://tex.z-dn.net/?f=a_%7B3%7D%3D5%2B7%2B9%2B11%3D32)
![a_{4}=7+9+11+13=40](https://tex.z-dn.net/?f=a_%7B4%7D%3D7%2B9%2B11%2B13%3D40)
B) Observe the sequence of odd numbers 1, 3, 5, 7, 9, 11, 13(...).
You can express this sequence as:
(b.1)
If you merge the expression b.1 in a.1, you obtain the explicit formula of the sequence:
(a.1)
(b.2)
(b.3)
(b.s)
C) The recursive formula has to be written considering an initial term and an N term linked with the previous term. You can see an addition of 8 between a term and the next one. So you can express each term as an addition of 8 with the previous one. Therefore, if the first term is 16:
(c.s)
It´s length is 10.5 because:
Perimeter = (2 x width) + (2 x length), so the equation is:
Length = [Perimeter - (2 x width)] / 2
5/6 divided 1/2
Flip over the second fraction. Changes from 1/2 to 2/1
5/6*2/1
Multiply by the denominator and numerator across
Or you can cross out 6,2 and divide by 2
5/6*2/1= 10/6 Multiplying right away and divide by 2 10/6=5/3
5/6*2/1 ( Crossing out 6 and 2)
6/2=3
2/2=1
5/3
Answer: 5/3