X+x+1=2x+1= even number +1=odd number
Answer:
The system of equations has no solutions
Explanation:
Given the system of equations:
3x - 9y + 9z = 44 ..........................................................(1)
2x + 6y - 5z = -18 ..........................................................(2)
x - 3y + 3z = 14 ...............................................................(3)
Solving by elimination, multiply (3) by 2
2x - 6y + 6z = 28 ............................................................(4)
Subtract (2) from (4)
-12y + 11z = 46 .................................................................(5)
Multiply (3) by 3
3x - 9y + 9z = 42 ............................................................(6)
Subtract (6) from (1)
0x + 0y + 0z = 30
This is impossible, and we conclude that the equation has no existing solutions
The 30th term of the given sequence is 82.
<u>Step-by-step explanation</u>:
- The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on.
- The given linear sequence (-5,-2,1,4,7) is in the form of Arithmetic Progression with a common difference of 3.
- -5, -5+3 = -2, -2+3 = 1, 1+3 = 4 and so on.
The nth term is given by the formula nth term = a + (n - 1) d
where
a = first term
d = common difference
<u>To find the 30th term in the given sequence :</u>
The first term, a = -5 and the common difference, d = 3.
30th term = -5 + (30-1) 3
⇒ -5 + (29) 3
⇒ -5 + 87
⇒ 82
Therefore, the 30th term in the given sequence is 82.
Answer:
9p+3r−7
Step-by-step explanation:
=3r+12p+−7+−3p
Combine Like Terms:
=3r+12p+−7+−3p
=(12p+−3p)+(3r)+(−7)
=9p+3r+−7
Answer:
C
Step-by-step explanation:
14/21 = 2/3 = .666666666666666666666.....7
