Step-by-step explanation:
The blue figure is translated 2 units down and 6 units across from the red figure.
Answer:
I am guessing that the answer is $69.99 because well I did the math
Answer:
can you post a clearer picture ?
Step-by-step explanation:
The given <span>polynomial is ⇒⇒⇒ </span><span>f(x) = x³ - 3x² + 81x - 243
</span>
by factoring the absolute term (243) to find one of the factors of the the polynomial
∴ 243 = (1 * 243) or (3 * 81) or (9 * 27)
check which of the numbers {1 , 3 , 9 , 27 , 81 , 243} make f(x)<span>= 0
</span>
i have checked 3 and it makes <span>polynomial = 0
</span>
i.e: f(3) = 0 ⇒⇒ (x - 3) is one of the factors of f(x)
By using the reminder theorem ⇒⇒ see the attache figure
∴

And ⇒⇒ (x² + 81) is a sum of two squares which can be factored using the complex numbers as following
x² + 81 = ( x + 9i ) ( x - 9i )
∴ f(x) = <span>
x³ - 3x² + 81x - 243 = (x - 3)(x + 9i)(x - 9i)</span>
Answer:
2485
Step-by-step explanation:
The number of seats in row n is given by the explicit formula for an arithmetic sequence:
an = a1 +d(n -1)
an = 20 +3(n -1)
The middle row is row 18, so has ...
a18 = 20 + 3(18 -1) = 71 . . . . seats
The total number of seats is the product of the number of rows and the number of seats in the middle row:
capacity = (71)(35) = 2485
The seating capacity is 2485.