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Basic Algebra

Algebra Functions Difficulties

I am having difficulty with a few different problems. 1. (8x^7-4)(x^8-5) 2. 5x^5-35x^4+40x^3 3. t^3-4t / t^2-64 4. -2x^3+4x^2+2x+5 Identify the degree of each term of the polynomial and the degree of the polynomial. 1st term 2nd term 3rd term 4th term Degree of polynomial 5. 19x^2-10x

Reverse thinking in common mathematics

Factoring illustrates "reverse thinking" common in mathematics. In our everyday lives, we illustrate this type of thinking often. If I know in 15 years that I may have to send a child to college, then knowing the end result (price of college) I must think in reverse and figure out steps I must take to lead up to the final outc

Synthetic Division, Remainder Factor Theorem, & Graphing Cubic

1. Explain what synthetic division is and what it is used for. (include at least 2 different uses for synthetic division) Give an example of synthetic division, show all steps. Explain what your answer means. 2. Pick a cubic function. (use something not too simple. a good example: y = 2(x+1)^3 - 5) Starting with y = x^3, use

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

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: 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

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)/(

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

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

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.

Algebra and Logic Word Problems

5. The sign says you are leaving Missoula, Butte is 120 mi away, and Bozeman is 200 mi away. There is a rest stop halfway between Butte and Bozeman. How far is the rest stop from Missoula? 13. Suppose you could spend $10 every minute, night and day. How much could you spend in a year? (Assume there are 365 days in a year

Several problems on quadratic equations

1. Solve by completing the square. x2 - 2x - 63 = 0 A) -9, 7 B) 9, 7 C) -9, -7 D) 9, -7 2. Solve. x2 - 75 = 0 3. Solve by using the quadratic formula. 3x2 = 11x + 4 A) B) C) D) 4. The height h in feet of an object after t seconds is given by the function h = -16t2 + 30t + 8.