F(x) = 2(x + 6) Plug in 22 for x
F(22) = 2(22 + 6) Use the Distributive Property
F(22) = 44 + 12 Add
F(22) = 56
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: The answer is 13/54
Step-by-step explanation:
52 people out of 216 do not want the stadium, so the fraction would be 52/216. 52/216 simplified would be 13/54.
Answer:
She has 24,50$ left
Step-by-step explanation:
3,50*5 = 17,50
42$ - 17,50$ = 24,50$
Answer:
-17
Step-by-step explanation:
Every number x goes up, the f(x) goes up by 9. -8+9=1 and 1+9=10. Therefore if the number goes down, you subtract. -8-9=-17