Answer:
n²+1
2n²
Step-by-step explanation:
We can see that 2, 5, 10, and 17 becomes 1, 4, 9, and 16 when we subtract 1.
So it adds 1. The nth will be n² + 1.
2, 8, 18, and 32 is the double of n². 1, 4, 9, and 16 are their half.
So the nth term becomes 2n².
Answer:
H=310
Step-by-step explanation:
This problem is a great systems of equations problem--you have two different variables: song size and number of songs.
Let's call the number of standard version downloads (S) and the high quality downloads (H).
You can make two statements:
For number of songs downloaded: S + H = 910
For download size: 2.8(S) + 4.4(H) = 3044.
S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:
2.8(S) + 4.4(910 - S) = 3044
2.8S + 4004 - 4.4S = 3044
-1.6S = -960
s = 600
Your question only asks for the standard version downloads, but to help you out in future Systems situations-
You can also solve for H once you have S by plugging it into either of your equations like this:
600 + H = 910
-600
Hope this helps!
<h2>
Answer: -30y + 12u + 18 </h2>
<h3>
Step-by-step explanation:</h3>
<em> by multiplying each term in the parentheses by the term outside</em>
-6(5y-2u-3) = (-6 × 5y) + (-6 × - 2u) + (-6 × -3)
= -30y + 12u + 18
The rule for a rotation by 180° about the origin is (x,y) -->(−x,−y)
So A(-3, 2) to A'(3, -2)
Answer:
A'(3, -2)
The last part answers the first part for you, just look at the y-values.
In other words:
<em>A'</em><em> </em>(-8, 2)
<em>B'</em> (-4, 3)
<em>C'</em> (-2, 8)
<em>D'</em> (-10, 6)
Explanation:
When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.
This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.
Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.
<em>A'</em><em>'</em> (8, 2)
<em>B'</em><em>'</em> (4, 3)
<em>C'</em><em>'</em> (2, 8)
<em>D'</em><em>'</em> (10, 6)
Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.
