Answer:
<h3>r =-12</h3>
Step-by-step explanation:

Answer:
x = - 3 with multiplicity 2
Step-by-step explanation:
f(x) = (x - 3)(x + 3)(x + 3) = (x - 3)(x + 3)²
Equating each factor to zero and solving for x
x - 3 = 0 ⇒ x = 3 with multiplicity 1
x + 3 = 0 ⇒ x = - 3
x + 3 = 0 ⇒ x = -3
Thus x = - 3 has multiplicity of 2
The fact that the factor is squared gives the multiplicity
(x + 3)³ has root - 3 of multiplicity 3
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:

Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by

where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

now substituting r = 2 and a₁ = 7 in the nth term


Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

Answer:
The discount is the same.
Step-by-step explanation:
We need to find the ratios of both discounts.
41/50 = 61.5/75
If the question is True, this means that the ratios should be the same. So we have to cross multiply to find the answer.
75*41 = 50*61.5 = 3075
These two multiplication problems both equal 3075. Since the ratios are equal, the discounts are also equal.