Step-by-step explanation:
The magnitude of x is equal or less than 7.
=> We have |x| <= 7.
Answer:
The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.
Step-by-step explanation:
Use combinations to solve this problem.
Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.
There are 9 Lego kits available.
And the total number of children is 6.
That is, we need to select 6 Lego kits from the 9 available Lego kits.
6 Lego kits can be selected from the 9 available Lego kits in
ways.
Solving the combination as follows:

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.
<span>πn < x < </span>π + <span>π<span>n
</span>In interval notation: (</span><span>πn, </span>π + <span>π<em>n</em>)</span><span>
</span>
X - (-150) = 200
x + 150 = 200
x + 150 (-150) = 200 (-150)
x = 200 - 150
x = 50
hope this helps
Answer:
(x, y) → (x+8, y-3)
Step-by-step explanation:
You are moving the x coordinates 8 steps to the right, which is in the positive direction. This makes the change +8. This is where the x+8 comes from.
For the y coordinates, you are moving 3 down, which is in the negative direction which means it is y-3.
(You can pick one point, D, and track its movements. We can see that point D had to move 8 units to the right and 3 units down to become D'.)