Answer:
Its going to be a line going straight across the 4 along the y axis .
Step-by-step explanation:
See graph attached
In an arithmetic sequence:
Tn=t₁+(n-1)d
t₄=t₁+(4-1)d=t₁+3d
t₅=t₁+(5-1)d=t₁+4d
t₆=t₁+(6-1)d=t₁+5d
t₄+t₅+t₆=(t₁+3d) +(t₁+4d)+(t₁+5d)=3t₁+12d
Therefore:
3t₁+12d=300 (1)
t₁₅=t₁+(15-1)d=t₁+14d
t₁₆=t₁+(16-1)d=t₁+15d
t₁₇=t₁+(17-1)d=t₁+16d
t₁₅+t₁₆+t₁₇=(t₁+14d)+(t₁+15d)+(t₁+16d)=3t₁+45d
Therefore:
3t₁+45d=201 (2)
With the equations (1) and (2) we make an system of equations:
3t₁+12d=300
3t₁+45d=201
we can solve this system of equations by reduction method.
3t₁+12d=300
-(3t₁+45d=201)
-----------------------------
-33d=99 ⇒d=99/-33=-3
3t₁+12d=300
3t₁+12(-3)=300
3t₁-36=300
3t₁=300+36
3t₁=336
t₁=336/3
t₁=112
Threfore:
Tn=112+(n-1)(-3)
Tn=112-3n+3
Tn=115-3n
Now, we calculate T₁₈:
T₁₈=115-3(18)=115-54=61
Answer: T₁₈=61
Answer:
First 3 are functions . Last one is not a function
Step-by-step explanation:
They are all functions except the last one.
The last one is not a function because it has duplicate x- values in the ordered pairs (1, -1) and (1, -6). There are 2 outputs for one input so its a relation but not a function
Answer:
dimensions = 10.8 X 4
Step-by-step explanation:
Breadth/ width of room = x
Length of room = 6.8 + x
perimeter = 2 ( L + B )
29.6 = 2 ( 6.8 + x + x )
29.6/2 = 6.8 + 2x
14.8 - 6.8 = 2x
8 = 2x
8/2=x
4=x
Length of room = 6.8 + x = 6.8 + 4 = 10.8 m
Breadth/ width of room = x = 4m