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# Basic Algebra

### Factoring Trinomials and Polyhnomials

#54 Factor the trinomial. 7y2 - 8y + 1 Factor the trinomial. 3c2 - 16c - 64 Factor the trinomial. 2m2 + 14m - 88 Factor the trinomial. 16x2 - 14x + 3 Factor the trinomial. 15b2 - 34bc + 15c2 Write the terms of the trinomial in descending powers of one variable. 16 - 56b + 49

### Chinese remainder theorem

Solve the egg problem used to illustrate the Chinese Remainder Theorem if the remainders on division by 2,3,4,5,6 and 7 are all 1 by (i) the given procedure (ii) the "easier" way (i) the given procedure X=1(Mod2) X=1(Mod3) X=1(Mod4) X=1(Mod5) X=1(Mod6) X=1(Mod7) If and and then . We will use this r

### Algebra - Logarithmics, Graphs, Word Problems

See the attached file. 1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 a

### Week 8: Diagnostic for Baseline Projects 15, 16 and 17 Math Skill Diagnostic

Week 8: Diagnostic for Baseline Projects 15, 16 and 17 Math Skill Diagnostic Baseline Project 15 - The Behavior of Astronomical Masses 1.Express each of the following using scientific notation 2.Solve for x in each of the following. 3.In words, write out the steps necessary to solve for x in each of the following equatio

### Algebra

1)Richard's GPA is 3.7, and he made the following statement recently, "I have earned 110 credits from my college, and I earned at least an A- in each case." An A is equivalent to 4.0 and an A- is equivalent to 3.67. How many of the credits were A, and how many of the credits were A-? (To earn full credit, you need to formulat

### Quadratic Function in 2 variables and Mathematical Induction

1) Prove that in the equation x^2 - 3xy +2y^2 - 2x - 3y - 35 = 0, for every real value of y there is a real value of x, and for every real value of x there is a real value of y. 2) Use the Principle of Mathematical Induction to prove: a) For every positive integer n, 4^(2n + 1) + 3^(n+2) is a multiple of 13. b) 3^n > n^2 fo

### Applied Math Skill Check 15 Bases and Exponents

Applied Math Skill Check Bases and Exponents 1. Structural Analysis - the equation used to find the cross-sectional area of a cylindrical column (area of a circle): Answer: Show your work: 2. Physics - The equation used to find the amount of centripetal force on a mass moving in a circle:

### Many questions -- Substitute method, slope, graph lines.

1. Determine the x- and y-intercepts of the given equation. Show your work. Then plot the intercepts, and graph the line. -5x + y = 0 2. Determine the x- and y-intercepts (if any) of the given equation. Show your work. Then plot the intercepts, and graph the line 7x + 56y = 0 3. Select the line that has the given slope

### Algebra Homework Help 5: To show your work, you will need to include the algebra used to compute the solution to any equations.

1. The following graph shows how a 4-color web printing press depreciates from the year 2006 to the year 2010. It was purchased new in the year 2006; therefore x = 0 represents the year 2006. X - axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 years Y - axis (vertical) = price in \$ amounts a) List

### Logarithmic/asymptote

In exercise 53-56, begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. 56. h(x) = 2 + log2 x The figure show the graph of f(x) = log x. In exercises 59-64, use transformations o

### Factorization of Polynomials.

I sent my problems via attachment word document. Please read the instructions and fill out all problems that show any extension of work. please. 1.Factor completely. If the polynomial is prime, state this. 75x2 - 3 2. Factor completely. If the polynomial is prime, state this. 48x2 +

### Exponential and Logarithmic Functions

Solve for solutions: The exponential models describe the population of the indicated country, A, in millions, t years after 2003. Use these models to solve 2,4 and 6. India A = 1049.7e^0.015t Iraq A = 24.7e^0.028t Japan A = 127.2e^0.001t Russia A = 144.5e^- O.004t 2. What was the population

### Algebra - Developing and Solving Problems

Harry has \$2.25 in Nickels, Dimes and quarters. If he had twice as many nicels, half as many dimes .... The sume of the digits of a three digit number is 11. If the digits are reversed ... Find the Vertex, Focus and ... Find the equation of the parabola .... Write each equation in the form ... Find the Vertex, Foc

### Algebra word problems

Supplementary angles are angles whose measures have a sum of 180degrees. Complementary angles are angles whose measures have the sum of 90 degrees. Find the measure of an angle whose supplement is 10 degrees more than twice it's complement. Let 90- x equal the degree measure of it's complement and 180 -x equal the degree measure

### Physical science 8th edu by Bill W. Tillery (need to see how each problem is worked out to produce a correct answer to each problem)

1. A water wave has a frequency of 6Hz and a wavelength of 3m. (a) What is the period of these waves? (b) what is the wave velocity? 2. The lower frequency limit for human hearing is usually considered to be 20.0 Hz. What is the corresponding wave length for this frequency if the air temperature is 20.0 C? 4. The

### Algebra Express Terms

1. Express in terms of i: -sqrt(-297) 2. Rewrite with positive exponents. Assume that even roots are of nonnegative quantities and that all denominators are nonzero. 8-1/3ax-7/8z^8 3. Simplify. Assume that no radicals were formed by raising negative numbers to even powers. sqrt(20)k^7q^8 4. Simplify: (-3a^2)^3

### Algebra

1. A square plywood platform has a perimeter which is 9 times the length of a side, decreased by 15. Find the length of a side. 2. One side of a rectangle is 12 inches and the other side is x inches. What values of x will make the perimeter at most 44? 3. The equation y = 0.004x - 0.40 can be used to determine the approx

Please see attached for the details of the problems.

### Solving Simultaneous Equations by Substitution Method

Solve each system of equations by substitution method. Show work by step by step solutions. 1) x + 3y = 2 3x + 9y = 6 2) 4x - 2y = 2 2x - y = 1 3) x/4 - y/4 = -1 x + 4y = -9 4) x/6 - y/2 = 1/3 x + 2y = -3 5) 2x = 3y + 4 4x = 3 - 5y 6) 4x = 3y + 8 2x = -

### Complete each ordered pair so that it satisfies the given equation. 1---- y = 2x + 5: (8, ), (-1, ), ( ,-1) Use the given equations to find the missing coordinates in the following tables. 2------ y= -x+4 X Y -2 0 2 0 -2 3-------------Graph each equation. Plot at least five points for each equation. x - 2y = 6 4--------------find the slope of each line. 5--------------- 6---------------Graph the line with the given point and slope. The line through (-2, 5) with slope -1 7--------------- Draw l1 through (-4, 0) and (0, 6). What is the slope of any line parallel to l1? Draw l2 through the origin and parallel to l1. 8-----------------Write an equation for each line. Use slope-intercept form if possible. 9------------ 10-------------Find the slope and y-intercept for each line that has a slope and y-intercept. X+2y=3 11----------- Y+4x=8 12----------determine whether the lines are parallel, perpendicular, or neither. Y=x+7 Y=-x+2 13------------Write each equation in slope-intercept form. Y+3=-3(x-6) 14------------Find the equation of the line that goes through the given point and has the given slope. (-1, -5), -8 15-------¬Find the equation of each line. Write each answer in slope intercept form. The line is parallel to -3x + 2y = 9 and contains the point (-2, 1). 16------------Find the equation of each line in the form y = mx + b if possible. The line through (3, 2) with undefined slope 17----------------Write a formula that expresses the relationship described by each statement. Use k for the constant in each case. m varies directly as p. 18------------ Write a formula that expresses the relationship described by each statement. Use k for the constant in each case. u varies inversely as n. 19-----------------Find the variation constant, and write a formula that expresses the indicated variation. c varies inversely as d, and c = 5 when d = 2. 20-------------------- Solve each variation problem n varies directly as q, and n = 39 when q = 3. Find n when q = 8.

Complete each ordered pair so that it satisfies the given equation. 1---- y = 2x + 5: (8, ), (-1, ), ( ,-1) Use the given equations to find the missing coordinates in the following tables. 2------ y= -x+4 X Y -2 0 2 0 -2 3-------------Graph each equation. Plot at least five points for each equation.

### Time Card & Net Pay Calculation

Practice Questions Complete the following time card. Janice earns time and a half overtime when she works more than eight hours on a weekday or on Saturday. She earns double time on Sundays and holidays. Calculate Janice's net pay if she earns \$9.75 per hour, is married, and claims one withholding allowance. Challenge Proble

### Solving Quadratic Equations and Substitutions

1. An interesting method for solving quadratic equations came from India. The steps are: (a) Move the constant term to the right side of the equation (b) Multiply each term in the equation by four times the coefficient of the x2 term (c) Square the coefficient of the original x term and add it to both sides of the equation (d)

### Factor out the common factor

Factor out the common factor. (5x - 2)2 + (5x - 2) Completely factor the expression. x4 - 3x3 + x2 - 3x Write the rational expression in simplest form. 4x2y xy - y Write the rational expression in simplest form. 9x2 + 9x 8x + 8 Write the rational expression in simplest form. x2 - 9 3 - x

### Several algebra problems

2. 3. 4. Find the coordinates of the x-intercept. 2x + y = -6 (-6, 0) (0, -3) (0, -6) (-3, 0) 5. 6. Janet invested \$26,000, part at 6% and part at 3%. If the total interest at the end of the year is \$1,080, how much did she invest at 6%? \$11,000 \$10,0

### Mathematics - Algebra - Word Problem

You are a high school math teacher and are introducing matrices to the classroom next week. It is very important to you to make a connection between the real world and this topic, so you decide to research in which applications matrices are used. To your surprise, you find several very useful applications, such as decoding and e

I have a customer that is purchasing purchasing a item packed 6,0000 per case @ 19.00 per case. they are buying 281,000 cases per year. I would like to sell them our new items that is packed 10,800 per case. 1. How many cases would be new items reduce their inventory by 2. If I sold the new item for \$32.00, how

### Algebra - Equations and Matrices

See Attached Exercise 5.5 25. Supply and Demand The supply function for a product is given by p=q²+2q+122 and the demand function for this product is p=650-30q, where p is the price in dollars and q is the number of hundreds of units. Find the price that gives market equilibrium and the equilibrium quantity. 29. Break-Ev

### Cumulative Equation Problems

Ch. 10 Cumulative Problems 1) solve (X - 4)2 = 3 2) solve 5 (X - 2)2 = 3 3) solve - 9 (X - 3)2 = - 7 4) solve by completing the square 2 X2 - 8 X - 9 = 0 5) solve by completing the square 4 X2 + 2 X - 3 = 0 6) solve by using the quadratic formula 4 X2 - 3 X + 3 = 0 7) solve by using the quadratic formula 5

### Functions & Graphs Your mission is to find real-world data for company sales, a stock price, biological growth, or some sociological trend ... A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any...

Functions & Graphs Group Activity #3 Modeling Your mission is to find real-world data for company sales, a stock price, biological growth, or some sociological trend over a period of years that fits an exponential, logistic, or logarithmic function. To do this, you can look at a statistical graph called a histogram which d

### Algebra - Solving Polynomial & Rational Functions

Exercise 4.5 27. Advertising and Sale The monthly sales volume y (in thousand of dollars) of a product is related to monthly advertising expenditures x (in thousands of dollars) according to the equation. Y= 400x x+20 a. What monthly sales will result if \$50