Answer:
(-8, 2)
Step-by-step explanation:
set these equations equal to each other
1/2x + 6 = -3/4x -4
5/4 x = -10
x = -10x4/5 = -40/5 = -8
plug this x into one of the equations
y = 1/2 (-8) + 6
y = -4 + 6
y = 2
Answer: The total cost of the bike is $974.53
How to solve: To solve this you’d take the net price which is $887.95 and add it with the sells tax which is 9.75%.
WAN, LAN, PAN
Wide Area Network, Local Area Network, Personal Area Network
X 0 y was 30
at x 12 y is about 55
12-0 = 12
55-30 = 25
25/12 = 2.08 inches per year average
so answer should be D
Answer: 912
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Work Shown:
The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is
an = a1+d(n-1)
an = 3+5(n-1)
an = 3+5n-5
an = 5n-2
Plug n = 19 into the formula to find the 19th term
an = 5n-2
a19 = 5*19-2
a19 = 95-2
a19 = 93
Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96
Multiply this by n/2 = 19/2 = 9.5 to get the final answer
96*9.5 = 912
I used the formula
Sn = (n/2)*(a1 + an)
where you add the first term (a1) to the nth term (an), then multiply by n/2
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As a check, here are the 19 terms listed out and added up. We get 912 like expected.
3+8+13+18 +23+28+33+38 +43+48+53+58 +63+68+73+78 +83+88+93 = 912
There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.
