Questions
In this discussion, you will be creating your own application problems that your fellow classmates will...
In this discussion, you will be creating your own application problems that your fellow classmates will solve using systems of linear equations. Let’s first look at an example. When creating an application problem, it is helpful to begin with the solution to the problem.
So, for example, if you start with the solutions (a rectangular garden with width = 8 ft, length = 10 ft), then you must find two ways these quantities relate to each other and give this information as clues in the problem statement. In this case, the two ways are with the perimeter = 36 ft, and the fact that the length is 2 ft longer than the width). So, your problem statement would be:
"Find the width and length of a rectangular garden if the length is two feet longer than the width and the perimeter is 36 feet."
Remember that we are dealing with systems of linear equations. That means you cannot use area or volume formulas, since those are nonlinear, meaning that they contain squared and cubed variables, respectively.
Now, let's begin our discussion of application problemsinvolving systems of linear equations.
- Formulate two application (real-world) problems that can be solved with a system of equations in either 2 or 3 variables. Check your problem statements to make sure they include all of the information necessary to write down the governing system of equations.
- Using your problem statements, set up and solve the system of equations for each of your two problems yourself.
- Save the solutions and use them to respond to those who reply to your problems.
- Post your two problems in the discussion board:
-
- Give the problem statement only.
- Do NOT give the system of equations needed to solve the problem or the solution.
In: Math
How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5,...
How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5, and P(0)=30 and P(4)= -70?
In: Math
An object moving vertically is at the given heights at the specified times. Find the position...
An object moving vertically is at the given heights at the specified times. Find the position equation for the object.
s=(1/2)at2 + v0t + s0
At
t = 1 second, s = 151 feet
At
t = 2 seconds, s = 103 feet
At
t = 3 seconds, s = 23 feet
In: Math
Two tugboats are pulling on a large ship that has gone aground. One tug pulls with...
Two tugboats are pulling on a large ship that has gone aground. One tug pulls with a force of 3000 pounds in a compass direction of 58 degrees. The second tug pulls with a force of 2000 pounds in a compass direction of 101 degrees. Find the magnitude and the compass direction of the resultant force.
In: Math
Use a change of base formula to convert log4.5 9000 to base 10.
Use a change of base formula to convert log4.5 9000 to base 10.
In: Math
use change of base formula log base 2/3(.155)
In: Math
Solving Logarithms using the Change of Base Formula Use the change of base formula to rewrite...
| Solving Logarithms using the Change of Base Formula | ||||||
|---|---|---|---|---|---|---|
| Use the change of base formula to rewrite the logarithm using base 10 logarithms. Then use your calculator to evaluate the logarithm. Round your result to three decimal places. | ||||||
| Logarithmic Function | Rewritten using the change of base formula | Evaluated using the calculator | ||||
| f(x)=log2(x)f(x)=log2(x) | f(8)=log2(8)=log(8)log(2)f(8)=log2(8)=log(8)log(2) | f(8)=3f(8)=3 | ||||
| h(x)=log8(x)h(x)=log8(x) |
|
h(23)=h(23)= | ||||
| p(t)=15log9(t)p(t)=15log9(t) |
|
p(158)=p(158)= | ||||
| f(x)=18+log4(x)f(x)=18+log4(x) |
|
f(151)=f(151)= | ||||
In: Math
Find the derivative of the function below.
Find the derivative of the function below.
Find the derivative of the function below.
In: Math
Can you give examples of using functions in real life? By real life I understand not...
Can you give examples of using functions in real life? By real life I understand not only what we do in everyday living, but also science, economy, and similar.
In: Math
find the rational expressions f(x): Xintercepts (1/2,0) (-2,0) y-intercepts (0,-2/3) Holes: none Vertical Asymptote x=3 Horyzontal...
find the rational expressions f(x):
Xintercepts (1/2,0) (-2,0)
y-intercepts (0,-2/3)
Holes: none
Vertical Asymptote x=3
Horyzontal y=6
In: Math
Suppose that a game of chance is played with a pair of fair 10-sided dice (with...
Suppose that a game of chance is played with a pair of fair 10-sided dice (with the sides numbered 1 to 10). In the game, you can pick any number from 1 to 10 and the two dice are then “rolled” in a cage. If $1 is bet and exactly one of the number that you picked is rolled you win $1, and if both of the dice are the number that you picked you win $20 (in each of those cases you also get your initial $1 bet back). If none of your number winds up being rolled you lose your $1 bet. Suppose that you play this game 8 times and pick the same number each time.
a) What is the probability that doubles of YOUR number (both dice come up your number) does not occur in the 8 rolls?
b) What is your total expected win or loss? Indicate in your answer both the amount (rounded to the nearest $0.01 if necessary) and whether it is a win or loss.
In: Math
1. Select each of the constructible regular n-gons listed below. a) 204-gon b) 13-gon c) 100-gon...
1. Select each of the constructible regular n-gons listed below.
a) 204-gon
b) 13-gon
c) 100-gon
2. Select each of the contructible angles below.
a) (3/20)°
b) 9°
c) (3/8)°
d) 1°
e) 17°
In: Math
On upper Saturn (a new country on Earth) the number of untreated influenza cases doubles every...
On upper Saturn (a new country on Earth) the number of untreated influenza cases doubles every 7 days. On lower Saturn, the number of untreated garza cases doubles every 30 days. When you arrived in Saturn there were 10 cases of influenza and 100 cases of garza. If left untreated, how many cases of each disease would there be after 365 days?
In: Math