Algebra Answers

Jim sent 5 pieces of mail in September, 15 pieces of mail in October, 45 pieces of mail in November, and 135 pieces of mail in December. If this pattern continues, how many pieces of mail will Jim send in January?

The population of a culture of bacteria is modeled by the logistic equation
.
To the nearest tenth, how many days will it take the culture to reach 75% of its carrying capacity? What is the carrying capacity? What is the initial population for the model? Why a model like , where is the initial population, would not be plausible? What are the virtues of the logistic model?
Go to www.desmos.com/calculator and type
y = 14250 / (1 + 29 . e-0.62 x). {0 < x < 15} {0 < y < 15000}
y = 14300 {0 < x < 15}
(you will find the command “ ” in the desmos calculator after selecting “14250”, or you type “/” after selecting “14250”, and you will also find the function “exp” ). Adjust the x and y axes settings to 0 < x < 15 and 0 < y < 15000. Plot the graph you have obtained (you can use a screenshot, save as image, and copy it into word). If you need, or if you want, go to the Course Forum and tell us something about this plotting task.

Determine the polynomial function whose graph passes through the points (2, 4), (3,6) and (5,10). Also sketch the graph of the polynomial function. (Using Cramers Method).

A) Create an example of a math problem that says to, “Factor fully” and that includes

A) Create an example of a math problem that says to, “Factor fully” and that includes

A) Create an example of a math problem that says to, “Factor fully” and that includes
Common Factoring of any polynomial.

B) Explain/Teach in detail what you had to do to arrive at your solution. Show all steps! l

Question: 1.2 Steps are to be placed along XY on the ladder. The steps
need not be spaced equally. However, the gap between any two adjacent
steps cannot be more than 20 cm along XY because it will be difficult to
climb. Also, the gap should be at least 15 cm because if it’s too close,
people could hurt their feet while climbing.
Based on the information given above, what is the maximum number of
steps that can be placed on the ladder along XY below the step at X?

Elmer had a job pulling weeds that paid $7 an hour and he worked at most 42 hours a week. If x is the hours he worked in a week and y is money he made in a week, write the domain and range of the function as compound inequalities.