Answer: 7
Step-by-step explanation:
For c, we are given this sum from 1 to 3 of 
. 1/2 is a constant , therefore, we can move it outside of the summation.
*I hope you can understand what I'm saying. I can't figure out how to type in summations into the equations section.
1/2∑₁³n²
This means you would multiply the sum of n² from 1 to 3 by 1/2.
We are told n=1 to n=3 so we would plug 1, 2, 3 into n.
1²=1
2²=4
3²=9
We would add them together since that is what the sum sign tells us to do.
1+4+9=14
Now that we know the sum, we multiply it with 1/2
14/2=7
If you mean the sequence
2,6,14,30,62,126,.....
then your equation will be
Answer:
A
Step-by-step explanation:
Alright, this may come out weird on computer, but here we go.
First, you want to change this into a multiplication problem, with Keep change flip. So now it's (c^2-c-20/c^2-6c+5) * (3c-3/c^2-16). You then want to simplify some number down.
You can simplify the first part using the X game (not sure if you know this), but you put the c value at the top, and the B value at the bottom, and the two sides blank. These two values must add to equal the C value, but multiply to equal the B value, so you get -5 and 4 for the numerator of the top. Following this formula, and using difference of perfect squares, you'll end up with the following.
(c-5)(c+4)/(c-5)(c-1) * 3(c-1)/(c+4)(c-4)
You then need to cancel out your different groups, so you'll cancel out (c-5), (c+4), (c-1).
After all that, you'll end up with 3/c-4, so the answer is A.
Answer:
4/20 or 1/5 being simplified
Step-by-step explanation:
Answer: Choice B
rose bush: $10, shrub: $4
=========================================
Work Shown:
x = cost for one rose bush
y = cost for one shrub
Rob's equation: 8x+5y = 100
Amy's equation: 8x+8y = 112
Subtract the equations straight down (match terms)
8x - 8x = 0x = 0, x terms go away
5y-8y = -3y
100-112 = -12
After those three subtractions, we end up with this new equation: -3y = -12
That equation solves to y = 4 when you divide both sides by -3
Use this value of y to find x
8x+5y = 100
8x+5(4) = 100 ... replace y with 4
8x+20 = 100
8x+20-20 = 100-20 .... subtract 20 from both sides
8x = 80
8x/8 = 80/8 ... divide both sides by 8
x = 10
We end up with x = 10 and y = 4 pairing up. The two equations, when graphed, cross at the location (10,4). One rose bush costs $10 and one shrub costs $4.
