Answer:
Step-by-step explanation:
The discriminant is found in
which is part of the quadratic formula. In
, a = 4, b = 10, c = -16. Filling in for the discriminant:

It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.
In
, a = -16, b = -7, c = 3. Filling in for the discriminant:

It's positive and not a perfect square so the 2 solutions are complex rational
Answer:
5<w<=9
Step-by-step explanation:
hope this helps good luck
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,
r = t⁵/t⁸ = t²/t⁵
The answer, r = t⁻³.
The next three terms are,
n₄ = (t²)(t⁻³) = t⁻¹
n₅ = (t⁻¹)(t⁻³) = t⁻⁴
n₆ = (t⁻⁴)(t⁻³) = t⁻⁷
The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively.
Answer:
Step-by-step explanation:
5(2x+3) = 85
10x + 15 = 85
x = (85 - 15)/10
x = 7