A(n)=-1(-3^n)
3, -9, 27, -81
<h3>Original Equation:</h3>

<h3>Steps:</h3>
<em>*To solve for a variable, isolate the desired variable onto one side.</em>
Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

Now that we have common denominators, add both sides by 2/6:

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

<h3>Final Answer:</h3>
<u>Your final answer is z = -1/4.</u>
Answer:


The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>
Step-by-step explanation:
Given:
Initial depth of the scuba dive = 19 ft
Rate of descent = 25 ft/min
Maximum depth to be reached = 144 ft
Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.
Framing in equation form, we get:
Total depth = Initial Depth + Rate of descent × Time
Total depth = 
Now, as per question, the total depth should not be more than 144 feet. So,

Solving the above inequality for time 't', we get:

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.
<u>Answer-</u>
<em>The polynomial function is,</em>

<u>Solution-</u>
The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1
The general form of the equation will be,
( ∵ (3-i) is the conjugate of (3+i) )








Therefore, this is the required polynomial function.