Answer:
Negative. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers
Answer:
The first term of the sequence is:
Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule:
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is:
Answer:
6-80970
Step-by-step explanation:
Answer:
<h3>
y = 2(x - 3)² - 20</h3>
Step-by-step explanation:
y = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
So the equation of the parabola with vertex (3, -20):
y = a(x - 3)² + (-20)
y = a(x - 3)² - 20
The parabola passes through point (7, 12) so if x=7 then y=12
12 = a(7 - 3)² + (-20)
12 +20 = a(4)² - 20 +20
32 = 16a
a = 2
Therefore the equation of the parabola with vertex (3, -20) and that passes through point (7, 12):
y = 2(x - 3)² - 20
Answer:
is -6x to the 33'd power tims 3 - 1. 3−2x33(3)−1
Step-by-step explanation: