Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S
=
(a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S
= 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 =
(26 + 150)
∴ 2,816 =
(176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Answer:
Step-by-step explanation:
to find the inverse, just switch x and y
so if u have these points : (-3,9) , (-2,4), (0,0), (1,1)
the inverse would be : (9,-3) , (4,-2), (0,0), (1,1)
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
x4-10x^2+9
Group expression so that the coefficients of the x^2 terms add up to +9.
= x^4 -9x^2 - x^2+9
match coefficients in both groups
= x^4 -9x^2 - (x^2-9)
factor each group
= x^2 (x^2-9) - 1(x^2-9)
now factor out the common factor (x^2-9)
= (x^2-1)(x^2-9)
Finally, factor each quadratic factor
= (x+1)(x-1)(x+3)(x-3)
Answer:
X= 7
Step-by-step explanation:
Answer:
the answer to your question is f(2)=0 and g(-2)=0