Answer:
y = 1/3x + 4 1/3
Step-by-step explanation:
2x - 6y = 12
First find the slope
Solve for y
Subtract 2x
2x - 6y -2x= 12-2x
-6y = -2x+12
Divide by -6
-6y/-6 =-2x/-6 +12/-6
y = 1/3 x -2
The slope is 1/3
Parallel lines have the same slope
Using the slope intercept form y = mx+b where m is the slope and b is the y intercept
y = 1/3x +b
And substituting in the point
4 = 1/3 (-1) +b
4 = -1/3 +b
Add 1/3 to each side
4 + 1/3 = b
y = 1/3x + 4 1/3
Answer:
55
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term (5.5) and d is the common difference (0.5).
So, the n-th term is ...
an = 5.5 +0.5(n -1) = 5.0 +0.5n
For n = 100, the term is ...
a100 = 5.0 +0.5(100) = 55
The 100th term of the sequence is 55.
Answer:
She will need 16 packages
Answer:
-2y +2
Step-by-step explanation:
(x - y + 1) - (x + y - 1)
Distribute the minus sign
(x - y + 1) - x - y + 1
Combine like terms
x-x -y-y +1+1
-2y +2
Answer:
x>9 and x<11
Step-by-step explanation:
