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# Basic Algebra

### Factoring a Trinomial Completely

Factor the following expression completely: 6s^2 + 29s - 42

### Rational and Radical Expressions

Please assist with the attached algebra. 1. Find the square roots of 4900 What is the principal square root of 4900? 2. Find the square root that is real number 3. Find each function value, if it exists. f (t)= f (o)= 4. Find the following. Assume that variables can represent any real number. 5. Simpli

### Factoring and Solving for X

Please see the attached file for the fully formatted problems. Section 5.1 Factor out the GCF in each expression. EX68) EX 72) a(a+1)-3(a+1) Section 5.2 Factor each polynomial EX 16) Use grouping to factor each polynomial completely. EX 80) Section 5.3 Factor each polynomial. If the polynomial is prime, say so.

### Rational expressions

See attached 1. Solve. 2. Divide and simplify. 3. Find all numbers for which the rational expression is undefined. 4. Solve. 5. Multiply and simplify. 6. Simplify by removing factors of 1. 7. Add. Simplify, if possible. 8. Find the LCM. 9. Subtract. Simplify by removing a fac

### Define relation and function.

Explain the difference between the two. Give two examples of relations and two examples of functions. What does it mean to evaluate a function? Given f(x) = 2x+3, evaluate it for x = -1. Explain what does it mean to find a root of the function. (zero of the function) Find all roots for f(x) = 2x+3.

### Inequalities : Real - Life Application ...

Give a real-world example when the solution of a system of inequalities must be in the first quadrant. Relate all the variables to real world quantities. Describe and write down the inequality.

### Radical Expressions, cube root, word problems

Please help with attached algebra problems. ? Write an equation to describe each variation. Use k for the constant of proportionality.(1-3) ? If y varies directly as x, find the constant of variation K and the direct variation equation for each situation (4-6) ? If y varies inversely as x, find the constant of variation k

### Mathematics - Algebra of inequalities

Please see the attached file for the fully formatted problems. 1.) Solve the equation: 2.) Pump A can fill a tank in 8 hours, and pump B can fill the same tank in 12 hours. How long will it take to fill the tank if both pumps are used? 3.) Solve by factoring: A.) Write the three factors B.) What are the solut

### Basic Algebra and Coding Theory

Solve the equation and check your answer (q+8)/3+(q-2)/2=10/3 Subtract. Simplify if possible (3-z)/(z-9)-(9_z-5)/(9-z) Simplify by removing factor of 1 (x^2-36)/(6-x) Divide and simplify (g+1)/(g-9)÷(2g+2)/(g-8) Solve (x-7)/(x+8)=3⁄7 Add, simplify if possible (v+6)/v+v/(v+6) Find the LCM of (7

### Rational Equations: Word Problems Pertaining to the Environment

Please see the attached file for the fully formatted problems. The Environment Environmental and wildlife preservation ensures future generations will have available resources and can enjoy the beauty of Earth. On the other hand, some of the damage humans have already done to the environment is expensive and time consumi

### Quadratic Equations : Factoring, Graphing and Applications

Please see the attached file for the fully formatted problems. MTH133 Unit 2 Individual Project Name: Typing hint: Type x2 as x^2 (shift 6 on the keyboard will give ^) 1) Solve the following by factoring: a) 5t^2 - 10t = 0 Answer: Show your work here: b) x^2 - 3x - 10 = 0 Answer: Show your wo

### Algebra: Word Problems - Solve for X

1. The everton College store paid \$16.74 for an order of 48 calculators. The store paid \$9 for each scientific calculator. The other all graphing calculators, cost the store \$555 each. How many of each type of calculator was ordered? The store ordered _____ Scientific calculators and ____ graphing calculators ______

### Graphs of Exponential and Logarithmic Functions

Please see the attached file for the fully formatted problems. Assignment 3: Graphs of Exponential and Logarithmic Functions Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 3x y = log3x Plot the graphs of the following functions. Scan the g

### Algebra: Word Problem

A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is \$2.47. Find the number of 8 cent stamps in the collection.

### Algebra: Slopes and Circles

The fully-formattted image is attatched from a scanned document. Please explain, where possible. Three points 4(2,3), B(-1, -2) and C(-1,6) and the circle that. passes through them. (a) (i) Find the slope of the line that passes through A and B. (ii) Find the coordinates of the midpoint of the line segment AB. (iii) Find t

### Algebra Word Problems and Hindu-Arabic, Mayan, Roman and Babylonian Numerals

Please see number 1 and the following problems on the attached file : 3-2 6. Wally kept track of last week's money transactions. His salary was \$150 plus \$54 in overtime and \$260 in tips. His transportation expenses were \$22, his food expenses were \$60, his laundry costs were \$15, his entertainment expenditures were \$58,

### Manipulatives

Discuss the statement , In order for children to understand the use of paper-and-pencil algorithms, they should explore addition by first using manipulatives. Do you agree with this statement? Give examples from your own life of this principle (taking what you know and applying it to new things). Discuss the importance of

### Mathematics and Algebra: Radicals Application Practice

Radicals - Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Hint for this assignment: Pay atten

### Word problems

Appendix E Radicals Application Practice Hint for this assignment: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions. 1. Many people know that the weight of an object varies on different planets,

### Simplifying rational expressions and least common multiple

Find all numbers for which the rational expression is undefined. -15/23z Find all numbers for which the rational expression is undefined. (t^(3 )-6t)/(t^2-25) Simplify by removing factor of 1. (〖80v〗^( 8 ) y^9)/(〖50v〗^(4 ) y^6 ) (The simplified form is) Simplify by removing factor of 1. (r^(2 )-16)/(

### Quadratic equations: Writing Quadratic Equations And Finding the Solution - Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: 1. Integers 2. Rational numbers 3. Irrational numbers Please see the attached file for the fully formatted problem(s). 1. How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex? 2. Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.

Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: 1. Integers 2. Rational numbers 3. Irrational numbers Please see the attached file for the fully formatted problem(s). 1. How many solutions exist for a quadratic equation? How do we determine whether the solutions are rea

### Equations and word problems

1. Bonnie and Clyde plan to rob a particular bank lying between St. Louis and Chicago. The bank is located in a town 110 miles northeast of St. Louis, and 165 miles south of Chicago. Bonnie is driving from St. Louis, and Clyde is driving from Chicago. It is important that they arrive at the bank at the same time. Assume they e

### Algebra: Sets and Number Properties - Please see the attached file for the fully formatted problem(s).

Please see the attached file for the fully formatted problem(s). 1. List all the subsets of {2, o, t}. 2. Classify each of the following as true or false. If false, tell why or give an example showing that it is not true. (a) For all sets A and B, A &#61485;&#61472;B = B &#61485;&#61472;A (b) The set {r, s, t,. . .

### Graphing and Systems of Equations - 1. Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? 2. Describe what the graph of interval [-4,10] looks like.

1. Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? 2. Describe what the graph of interval [-4,10] looks like.

### Modeling approach path using a cubic polynomial

An approach path for an aircraft landing is shown in the figure on the next page and satisfies the following conditions: i) The cruising altitude is h when descent starts at a horizontal distance L from touch down at the origin. ii) The pilot must maintain a constant horizontal speed v throughout decent. iii) The absolute val

### Trinomials, Greatest Common Factor and Zero Products

Please see the attached file for the complete problems. 1. Find the greatest common factor (GCF) 2. Find the greatest common factor (GCF) 3. Factor check by multiplying 4. 5. Factor 6. Factor by grouping 7. Factor by grouping 8. Factor the trinomial 9. Factor the trinomial 10

### Operations with rational expressions

Please help with the following rational expressions and to simplify. Find each function value 2) f(y) = y - 2 / -5 + y; f(-5), f(0), f(10) 6) g(x) 4 -3x / 2 10) f(x) = -4x/-2 + x 14) h(x) = 5 -3x / 2x^2 - 14x + 20 18) Explain how to simplify a rational expression or to write in it lowest terms? Simplify each rat

### Please create Excel Document Separately Please Include any References

Background: Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileage at two different speeds, V1 and V2, the gas required varies as (V1/V2), raised to the third power, (V1/V2)3. Rational functions are also use

### Functions and Equations College Algebra

I need help answering these practice questions. I have attached the questions that I need help with. Please explain your answers in detail. 1. Which of the ordered pairs (3, 1), (0, -4), (-4, 0), (-3, -7)are solutions for the equation x - y = 4? 2. Given f(x) = 5x - 1, find f(a + 3). 3. Solve by completing the square.