Tutors Answer Your Questions about Rational-functions (FREE)
Question 502120: Hi, I need help graphing the function: f(x) = 1/2|x| + 2
I have tried graphing it as going up the y=axis to 2, and then going over 1 up 2 for 1/2... but I know that's not right. I know you can't show the graph, but the steps for what to do will help immensely!
Thank you. :)
Click here to see answer by lwsshak3(6490)  |
Question 507550: Draw the graph of the function f(x)=2|x| for the domain -2(less than or equal to x
(less than or equal to)1. i am sooo confused on this function stuff. I don't get what the domain and range are in these equations and what to do at all! And I thought i WAS GOOD AT ALGEBRA UNTIL i GOT HERE.
Click here to see answer by Earlsdon(6287) |
Question 511178: Please Help me! I don't know where to begin. I would really appreciate your help.
A city manager is deciding where to buy water. The city needs at least 10 million gallons/day and can get it either from it's own reservoir or from a pipeline in a neighboring town.The reservoir can supply up to 5 million gallons/day. The pipeline can supply up to 10 million gallons/day. The neighboring town will ony agree to provide water if the city buys at least 6 million gallons/day. The water from the reservoir costs $300 per million gallons. The water from the pipeline costs $500 per million gallons. What would you advise the city manager to do? Let x represent the number of millions of gallons from the reservoir. Let Y represent the number of millions of gallons from the pipeline.
1. Write the inequalities to represent the constraints(conditions of the problem.
2. Write the expression that represents the cost to be minimized.
3. Graph the constraints and find the feasible region.
4. find the cost for each "corner point" and find the combination that minimizes the cost.
5. What would you advise the city manager to do?
Click here to see answer by solver91311(16872)  |
Question 513835: Answer the following questions using an Equation Editor to write mathematical expressions and equations.
Hint for this assignment: Pay attention to the units of measure. You will have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.
Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: ,
Where w is weight in pounds
r is the distance in miles from the center of the earth
C is a gravitational constant with units
Note: units are included for consistency
1. Solve the equation for r; use algebraic rules for exponents, roots, and square roots.
2 Solve the equation for C(gravitational constant); use algebraic rules for exponents, roots, and square roots.
3. Suppose that an object is 150 pounds when it is at sea level. Find the value of gravitational constant C150, for 150 pounds, which makes the equation true.
(Sea level is 3,963 miles from the center of the earth.)
4. Use the value of C150 for 150 pounds you found in the previous question to determine how much the 150 pound object would weigh at a different distance from the center of the earth
a. The lowest natural point on Earth is at the bottom of the Mariana Trench 35,797 feet below sea level
First convert feet below sea level to miles and then calculate the distance of the bottom of the trench from the center of the earth
b. Use this radius from the center of the earth and the value of C150 for 150 pounds from the previous question, to determine how much the 150 object would weigh in the Mariana Trench
Use the equation
5. Suppose that an object is 175 pounds when it is at sea level. Find the value of gravitational constant C175, for 175 pounds, which makes the equation true.
(Sea level is 3,963 miles from the center of the earth.)
a.
b. The summit of the Volcano Chimborazo in central Ecuador, is 3,967 miles from the Center of the earth. Use this radius and the value of C175 for 175 pounds from the previous question. to determine how much the 175 object would weigh on the summit.
Use the equation
The equation below gives the distance that a person can see to the horizon from Height
Where D, is distance, in miles
h, in height feet
Note: units are included for consistency
6. Solve this equation for h; include units as a check
7. Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation above sea level and Fort Morgan Colorado is 4324 feet above sea level.
a. First calculate the height in feet of Longs Peak above the Fort Morgan
b. Using this height can you see Fort Morgan 103 miles from the Top of Longs Peak?
8. Piles Peak in Colorado is 14,115 feet in elevation above sea level and Arriba Colorado is 5239 feet above sea level.
a. First calculate the height in feet of Pikes Peak above the Arriba
b. From the Top of Piles Peak can you see Arriba 117 miles away?
Click here to see answer by solver91311(16872) |
Question 514348: Please help me. I don't get the concept. "which points lie on the graph of the plane x + y -z = 15"
A. (5,10,0) B. (20,5,10) c. (5,5,5) d. (10,3,-2)
Write three more points on the graph of the plane.
______________ _____________ ____________
Click here to see answer by stanbon(57290) |
Question 514633: I am an adult college student that has returned to college after 26 years. I am currently taking the second part of a college algebra class. I have done pretty well up until this point and this problem. I am stuck and have consulted several friends, references, and sites, but cannot grasp how to solve this problem. I am a visual learner, so I need to see every step of the process in order to understand the concept. Would somebody be able to assist me with this problem and how to solve it.
Thank you.
Very confused and frustrated.
Problem #1:
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
The x-coordinates of vertex is?
This is what I did so far.
f(x)= -2x^2 + 2x + 3
= -2(x^2 -x) + 3
= -2 (x^2 - x + 1/4 - 1/4) + 3
= -2 (x^2 - x + 1/4) + -2(-1/4) + 3
= -2 (x^2 -x +1/4) + and this is where I get totally lost and confused.
Thank you very much for your assistance.
Sincerely,
Christine Fitzgerald
Click here to see answer by Alan3354(30993)  |
Question 514645: I am in need of some help regarding a problem. I have tried to work it several times, consulted with several friends, websites, and references sources and cannot figure this problem out. I am a visual learner, and was wondering if somebody could help me with the process to solve this type of problem.
Problem #2
Find the x-intercepts and y-intercepts
x-coordinates of the intercepts are?
the y-intercept is?
Thank you for your assistance.
Sincerely,
Christine Fitzerald
Click here to see answer by kingme18(98)  |
Question 515130: Hi! My question: find the domain for f(x) = 6th root of 1-4x^2. There is nothing this complex in my entire book!! Where do I start? Do I make a chart and start plugging numbers? I was praying for an odd root!! ha-ha Can you please tell me step by step what to do?
You are all life savers!
Thanks,
Tracy
Click here to see answer by Gogonati(809)  |
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