Answer is 8671/6 which is the third choice
===================================
Work Shown:
Find the first term of the sequence by plugging in n = 1
a_n = (5/6)*n + 1/3
a_1 = (5/6)*1 + 1/3 replace n with 1
a_1 = 5/6 + 1/3
a_1 = 5/6 + 2/6
a_1 = 7/6
Repeat for n = 58 to get the 58th term
a_n = (5/6)*n + 1/3
a_58 = (5/6)*58 + 1/3 replace n with 58
a_58 = (5/6)*(58/1) + 1/3
a_58 = (5*58)/(6*1) + 1/3
a_58 = 290/6 + 1/3
a_58 = 145/3 + 1/3
a_58 = 146/3
Now we can use the s_n formula below with n = 58
s_n = (n/2)*(a_1 + a_n)
s_58 = (58/2)*(a_1 + a_58) replace n with 58
s_58 = (58/2)*(7/6 + a_58) replace a_1 with 7/6
s_58 = (58/2)*(7/6 + 146/3) replace a_58 with 146/3
s_58 = (58/2)*(7/6 + 292/6)
s_58 = (58/2)*(299/6)
s_58 = (58*299)/(2*6)
s_58 = 17342/12
s_58 = 8671/6
Answer:5y=x-35
Step-by-step explanation:
The given line passes through the points 
,
.
Let the slope of the line be 
.
If a line passes through 
and 
,then
So,
Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.
Let the y intercept be 
From the graph,
The equation of the line with slope and y-intercept is 
So,
Answer:
Step-by-step explanation:
Assuming that all of the 255 sold seats were filled, then
[tex]\frac{sold}{total} *100\\[percent filled]
(225/260)*100=86.53%
100%-86.53%=13.4%
13.4% of seats are empty!
Answer:
9s+2=9s-5
Step-by-step explanation:
2 times 9s and 2 times 2 then subtract your 9sequals 3 times 3sand 3 times 6 so then you get 9s and 18 then you subtract 23 and you get 23. then you get your answer 9s-5=9s+2
Answer:
-8
Step-by-step explanation:
You are given the following table representing the function f(x):
This means
Hence,
f(5)=-8
