5x+x-3=9
6x-3=9
cancel out 3 3+3 9+3
6x=12 divide six by 6 and by 12 too.
x=12/6=2
x=2
Answer:
10pens
Step-by-step explanation:
23-3=20
20÷2=10
Answer and Step-by-step explanation:
Each package has 12 pencils
total number of pencils Sarah purchased: n = 12p
n = total number of pencils
p = number of packages
n depends on p, because the total number of pencils dependos on how many packages she will buy, so:
independent variable: p
dependent variable: n
╔═══╦══════════╦════╗
║ p ║ n = 12p ║ n ║
╠═══╬══════════╬════╣
║ 3 ║ n = 12*3 ║ 36 ║
╠═══╬══════════╬════╣
║ 4 ║ n = 12*4 ║ 48 ║
╠═══╬══════════╬════╣
║ 5 ║ n = 12*5 ║ 60 ║
╠═══╬══════════╬════╣
║ 6 ║ n = 12*6 ║ 72 ║
╠═══╬══════════╬════╣
║ 7 ║ n = 12*7 ║ 84 ║
╚═══╩══════════╩════╝
Answer:
6 units down
Step-by-step explanation:
Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.
If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0
Given that the parent function is an absolute value represented by:
y = |x|
Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down
You can see that you add 1x to each expression in the sequence, which means that the first expression will be 2x, and the second one 3x. You also add 2 to each x, which means that the first expression will be 1, and the second one 2.
2x+1, 3x+3, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13....
