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# Basic Algebra

### Algebra word problem

In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 60. The first car has consumed 15 gallons during that week, and the second has consumed 35 gallons, for a total of 1400 miles driven by the two cars combined. What was the average gas mileage obtained by each

### Mileage

In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50 . The first car has consumed 30 gallons during that week, and the second has consumed 25 gallons, for a total of 1350 miles driven by the two cars combined. What was the average gas mileage obtained by ea

### Questions ... (Please See attachment)

I am having some issues with these questions. I am just not getting it. Please help. All questions that are circled. (Please see attachment) The graphs of the following systems are given in (a) through (d). Match each system with ... Solve each system by the substitution mehtod. Determine whether ... Solve each system

### Factoring Polynomials

I need some help with these problems. Please see attachment. Please show all work to each equation Factor out the GCF in each expression 1) 15x^2y^2 - 9xy^2 + 6x^2y 2) a(a + 1) -3(a + 1) Factor each polynomial completely 3) x^3y + 2x^2y^2 + xy^3 Use grouping to factor each polynomial completely 4) x^3

### Simplfy Quadratic Equations

See the attached file. 1. Multiply Simplify your answer 2. Simplify your answer. Type a fraction or an integer. Type N if the root is not a real number. 3. Subtract. Simplify by collecting like radical terms if possible. Simplify your answer. Type an exact answer, using radicals as needed. 4. Multiply and si

### Find all subfields

Find all subfields of Q(sqrt(2), sqrt(3))with proof that you have them all. What is the minimal polynomial of sqrt(2) + sqrt(3)? Which of your subfields does it generate over Q?

### Business Algebra - The financial institution was very pleased with your presentation and has asked you to ...

The financial institution was very pleased with your presentation and has asked you to place the advertising ads. You have found out the best way to ensure the best outcome for your customer is through the use of systems of equations. After reading up on systems of equations, you have found out how powerful they can be for solvi

### Logarithmic and Exponential Functions : Transforms, Word Problems and Interest ... (Please see the attached file for the fully formatted problems)

Please see the attached file for the fully formatted problems. 1) Find the domain of the following: a) Answer: Explain how you obtained your answer here: b) Answer: Show your work or explain how you obtained your answer here: c) Answer: Explain how you obtained your answer here: d) A

### Gauss-Jordan Elimination

4x(1) + 5x(2) + 2x(3) = 11 2x(2) + 3x(3) - 4x(4) = -2 2x(1) + x(2) + 3x(4) = 12 x(1) + x(3) + x(4) = 9 Using a Gauss-Jordan Elimination process, x (1) =

### Cost of cleaning pollution

Please help answer the following basic algebra problem. Provide step by step calculations. The cost in dollars of removing p% of the pollutants from the water in a small lake is given by: C = 125,000 p / 100 - p Where 0 < p < 100, C is the cost, and p is the percentage of pollution removed. (a) find the cost of elim

### canonical formulas of conical sections and their properties

Please see the attached file for the fully formatted problems. 1. Solve the system of equations algebraically. Be sure to find all solutions! X^2+y^2=10 2x^2-y^2=17 I got not sure if it's right or missing x=2.999999976132 Y=0.999999870315 2. Find the coefficient of the term x^5 y^3 in the expansion of (4x

### Drawing and Interpreting Graphs : Scatter Plots, Box Plots, Circle Graphs and Conjecture ... (Please see the attached file for the fully formatted problems)

Please see the attached file for the fully formatted problems. 40. A graph similar to the following one was depicted on a package of cigarettes in Canada. [GRAPH] a. Make a circle graph of the data. b Explain which graph you think is more effective. c. Explain whether you would like to see this labeling on cigarette p

### Uncertainty - Certainty Factor

You are given: R1: IF you are studying hard, THEN you will receive an A in the course. CF (certainty factor) = 0.82 R2: IF you understand the material, THEN you will receive an A in the course. CF = 0.85 R3: IF you are very smart, THEN you will receive an A in the course. CF = 0.90 1. What

### Word problems on Equations

(1) To find a number which tells what person in a row (if no more than 9 people are in a row) is wearing a ring on which joint of which finger, double the number of the person in the row, add 5, multiply by 5, add the number of the finger, multiply by 10, add the number of the finger joint and subtract 250. The hundreds digit te

### Steve's Fishing Trip

Please see attachment. Steve has just returned from salmon fishing. He was lucky on this trip and brought home two salmon. Steve's wife, Wendy disapproves of fishing, and to discourage Steve from further fishing trips, she has presented him with the following cost data. The cost per fishing trip is based on an average of 10 f

### 20 Problems : Graphs, Quadratic Equations and Word Problems

Please see the attached file for the fully formatted problems. 1. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x) = The vertex is ? Type an ordered pair. The line of symmetry is 2. Solve (b) Find the x-intercepts of f(x) = 3. Find t

### Applications of Conics

The cross section of a parabolic reflector with 6-inch diameter is ground so that its vertex is 0.15 inch below the rim. (a) Find the equation of the parabola after inserting an xy coordinate system with the vertex at the origin, the y axis (pointing upward) the axis of the parabola. (b) How far is the focus from the ver

### Applications of Quadratics

The batter in a softball game hits the ball when it is 4 feet above the ground. The ball reaches the greatest height on its trajectory, 35 feet, directly above the head of the left fielder, who is 200ft from home plate. a. Write an equation for the height of the softball in terms of its horizontal distance from home plate. b

### Quadratic Expression : Application to Ticket Sales

Please see the attached file for the fully formatted problems. Ticket Sales Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can

### The answer to Several algebra Word problems

9.1 #108. 108. Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind. 9.2 #132. Top bond fund. An investment of \$10,000 in the Emerging Country Debt Fund in 2001 was worth \$24,780 in 2

### Solve, Correlate like Terms and Graphing Inequalities

1.) Solve using the multiplication principle. Don't forget to perform a check. -1/6x = -9/10 The solution is_____. (Simplify your answer. Type an integer or a fraction.) 2.) Collect like terms. 17r + 4s - 11r - 9s =_____________. 3.) 4 > -3x + 3 or 10 &#8804; -5x + 3 4.) Solve using the multiplication principle. -7x > 1/1

### Polynomials, area, measurement, and data

1. Factor the following expressions: a.3a + 9b b.ax + ay -az c.4a + 8b + 12c d.-2x -4y e.5m - 15n 2.Evaluate the expressions when x=3 and y=8 a.x + 2y b.-4(y - x) c.x - y d.2x + 3y e.y - 2(x+y) 3.Find the cost per ounce of each of the following sets of products, and tell which one is the

### Exponential Functions ...

It is estimated that the demand for oil is increasing exponentially at the rate of 15% per year. If the demand for oil is currently 50 billion barrels per year, how much will be consumed in the next 10 years?

### Practice Questions on Logarithmic and Exponential Functions ... [See the Attached Questions File]

Practice Questions on Logarithmic and Exponential Functions [See the Attached Questions File] Evaluate the logarithm: log4(1/16) Evaluate the logarithm: log10(0.01) Evaluate the logarithm: log1/2(5) Sketch the graph of the function and identify the vertical asymptote: f(x) = -2 + log3x Use the

### Mr. Earl E. Bird leaves his house for work at exactly 8 a.m. every morning ...

Mr. Earl E. Bird leaves his house for work at exactly 8 a.m. every morning. When he averages 40 mph, he arrives at his workplace 3 minutes late, but when he averages 60 mph he arrives at his workplace 3 minutes early. What is the average speed he needs to get to work exactly on time?

### Solving Quadratic Equations using Squre Root Property

Please help with the attached problems. Use square root property to solve each equation.. Add proper constant to each binomial so that the resulting trinomial is a perfect square then factor the trinomial Use quadratic to solve equation with real number solutions.

### Radicals and equations

Please see attachment. Write the following expression in simplified radical form. Find the roots of the quadratic equation: Compute the value of the discriminant and give the number of real solutions to the quadratic equation Solve the following equation for by using the quadratic formula: Find the -intercep

### Probability and Statistics problems - A student observes ... (Please see attachment for complete description)

A Student observes the following spinner and claims that the color red has the highest ... In response to Question "If a fair die is rolled twice ... A coin is flipped 3 times and heads or tails ... Five women live together in an apartment. Two have blue eyes. If two of the women ... How could each of the following b

### Heart rate

Question 11 If A is your age, the maximum pulse rate you should maintain during aerobic activities is 0.88(220-A). What is the maximum pulse rate you should maintain if you are a.15 years old? b.35 years old? c.40 years old? Question 12 The ideal heart rate while exercising for a person A yea

### Advanced Algebra concept to solve mathematical problems

Need help solving algebra problems. 1. Perform the indicated operation and simplify: w-6/w-7 - w+1/w+7 + w-21/w^2-49= 2.Jack usually mows his lawn in 7 hours, Marilyn can mow the same yard in 4 hours how much time would it take for them to mow the lawn together? 3. Simplify by removing factor of 1. s^2-4/(s+2)^2 4. F