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# Basic Algebra

The table shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. market. (see attachment) A mathematical model for this data is given by f(x) = 0.04x2 - 0.8x + 22 where x = 0 corresponds to 1975 a. Complete the table. (see attachment) b. Use values of the modeling function, f t

### How to solve for x in a linear equation.

Solving for x in a linear equation in one variable.

### Basic Algebra - Relations and functions

#28: y=-2x2+3 x y=-2x2+3 y 0 y=-2(0)2+3 3 1 y=-2(1)2+3 1 2 y=-2(2)2+3 -5 -1 y=-2(-1)2+3 1 -2 y=-2(-2)2+3 -5 • The graph of the relation is  (x)=-2x2+3. • My 5 points for this equation is as follows: (0,3) (1,1) (2,-5)

### Assistance again covering quadratic equations.

Problem 2. x2 + 6x +8 = 0 (Dugopolski, p. 635, 2012). Through observation, we can see that the quadratic equation in our problem is factorable. Solution by the factoring method: x2 +6x + 8 = 0 Original equation (x + 2)(x+4) = 0 Factoring left hand side. x + 2 = 0 or x + 4 = 0 Zero Factor property will find the value o

### ALGEBRA

Write using exponents. (-4)(-4) Simplify. Show your work. 5 1/3 +(-3 9/18) What type of measurement would you use to describe the amount of water a pot can hold? Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place. State whether the number 91 is prime, composite, or neither. What are the mean

### Basic Algebra - Simplifying Radicals

See the attached file. Problem 66. y^1/3 y^1/3 Now we have to simplify the problem. Looking at the problem and identifying what every part of the problem is we get that "y" is the principal root and it is being raised to an nth root, the 1 in the exponent is the power and the 3 in the exponent is the root. So for my first

### Algebra: Rational and Real Expressions

Attached is a discussion paper, which had two expressions that needed to be solved. I wrote only a little about real numbers. Of these numbers to the right, 2.5, 0, 1/3, -0.2121121112111..., 0.11111..., pi, 14, 14.28561,which is/are real? Can the numbers provided above also be applied in the same manner as my paper? Also,

### Steps on Factoring Linear Equations

I have provided an attachment showing the two problems that I have already worked. I am looking for a sanity check to ensure the process is correct. Since doing the equations, I have two distinct questions concerning the problems. 1. Why can we not factor something like a2+b2? 2. On the second equation, not sure if I use

### Conversion of sin and cosine Terms

Q1 Alternating currents i1 and i2 flowing into a circuit node are given by i1 = 0.02 sin wt i2 = 0.032 cos ( wt - π/3) Determine an expression for the output current i = i1 + i2 the form R sin (wt + α) and thus state its amplitude and phase angle

### Impact of the Compounding Frequency on the Growth of Investments

Provided below is a formula that I already understand, to include finding the answer. P=A(1/(1+r)^n ) = P=(5000)(1/(1+0.08)^12 )≌1985.60 The equation and variables below is similar to the above equation, However, the A is on the sum side. Can someone show me the steps in this process. If the amount invested and th

### The Slope of the Line: Parallel and Perpendicular

As I have learned about parallel and perpendicular slopes, the slope is m=rise/run. Completely understand the perpendicular with a 90 degree offset. Can someone explain, why the rise/run is the same anywhere on the straight line? Is there a mathematical argument for this? If so/not then can someone explain? Any explanation is g

### Simple equation

Formulas Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment: • Read about Cowling's Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra). • Solve parts (a) and (b) of the

### Polynomial Factorization

Can someone explain why the first two answers are the same? Can a person do the foil to get them equal? Can we also try: (a^3 - b^3)=(a-b)(a^2+ab+b^2) (a^4-b^4)= (a-b)(a^3 + a^2b + ab^2 +b^3) Can we find a^n - b^n = (a-b)(...)?

### Scientific Notation Concept

A computer can do one calculation in 1.4 x 10exponent -7. how long would it take the computer to do a trillion 10exponent 12 calculations round to one decimal place. Give the answer in scientific notation.

### APR calculation

Eduardo has a balance of \$3,265.96 on his credit card with an APR of 12.6%. His credit card requires a minimum monthly payment of 2% of the balance. If he transfers his balance to a credit card with an APR of 8.5% how of his first payment would be interest and how much would be applied to the principal?

### Basic Algebra - Quadratic Equations

For 1-3 solve the equation using the square root property 1. (m+1)^2 = -1 2. (p-1)^2 = 12 3. (t+5)^2 = -18 For 4 & 5, find the value of n such that the expression is a perfect square trinomial, then factor it. 4. X^2 -9X+n 5. Z^2 -2/5z +n For 6-8, solve the equation by completing the square and applying the square root

### Explain the difference between a function and a relation

Explain the difference between a function and a relation. Consider the equation x2 + y2 = 5 and explain why you believe it's a function or not? Give at least two reasons to support your answer.

### Solving the proportion in a real example

Can someone please assist me with the attached and "setting up the proportions" as I am totally clueless at how to do this. So, what would the world be like if I was only one foot tall? "Proportion Setup" Please show me how to set-up and solve for these.

### Damped Driven Harmonic Oscillator in a Steady State

In the limit as t goes to infinity the solution approaches x(t)=Ksin[ω(t-t0)] where K and t0 depend on ω (note: t0 = t subscript 0) I am attempting to show that K(ω) = 1/(ω^4-ω^2+1)^1/2 and failing My thoughts: I believe that at t=0. The only important part of the general solution to the original equation is the expo

### Method of Undermined coefficients

I am working on the differential equation (dx^2)/(dt^2) + dx/dt + x =sin (ωt) I have found the general solution of m^2+m+1=0 which is x=e^(-1/2)t(Acos((sqrt3)/2)t+Bsin((sqrt3)/2)t I am looking for a particular integral that satisfies the differential equation so as to obtain the general solution I am finding great difficul

### Algebra: a Simple Interest Account

Gina wants to invest a total of \$30000 into two savings accounts, one paying 6% per year and the other paying 9% per year (more riskier) in interest. After 1 year she wants a total interest to be \$2100. how much should she invest in both?

### solving inequality and equation

a. Solve 0 < x + 5 less than or equal to 8 for x. Express your answer using a line graph and in interval notation. b. (5/3x-7) less than or equal to 2. c. Solve for x: | x - 1 | = 3 d. Sketch the graph of the function y = | x - 1 | and use your graph to indicate your solution of part c

### Analyzing the given pattern

The winner of a school election is announced after school at 4:00 p.m. one student call 2 friends before 4:15 p.m., telling the name of the winner. Before 4:30 p.m., those 2 people call 2 more students and tells them the name of the winner. Before 4:45 p.m. each new student who has been notified call 2 more people telling them n

### Finding the x- and y-intercepts of a linear equation

Find the x- and y-intercept of the linear equation 4x + 3y = 12. Write each intercept as an ordered pair. In the Cartesian or Rectangular coordinate system, which is the horizontal axis and which is the vertical axis? Explain what is meant by x- and y- intercept.

### Rate of Change, Linear Models, Cost and Profit Function, Conversions and Calculations

Problem #1 The starting salaries for teachers in Broward County for selected years are given in the table. Use this information to answer the questions below. Show work for all calculations and give clear concise explanations to all questions. School Year Starting Salary 1995 2000 2005 *2014 *Projected

### Linear Algebra and Solving Systems of Linear Equations.

1. Given the equation y+5 = -2(x-3). find the slope and a point on the line 2. Determine the equation of the line, in slope- intercept form that is parallel to 5x+4y = -3 and contains (-8,9) 3. Find the equation of the line through the point (-2,6) and perpendicular to y= (3/5)x -2 4. Use the graphing method to find

### Comparing two parking garage plans

A downtown employee is looking for the best option for parking a car during an 8-hour workday. One parking garage offers unlimited parking at a \$120 per month. Another garage offers an hourly rate of \$2.50 for parking. Draw a graph comparing the two parking plans. Under what circumstances would the monthly plan be cheaper? Unde

### The solution gives detailed steps on finding optimal solution using a real exampe. All are answered in excel.

FULLY complete both parts B and C. - Also use sentence form. - All info is in the Documents, complete all that is asked by showing work- i need to know how you came up with the answers you did. - label and define parts in needed.

### The solution gives detailed steps on prepare the journal entry to record the issuance of the bonds.

Palmiero Co. is building a new hockey arena at a cost of \$2,000,000. It received a down payment of \$500,000 from local businesses to support the project, and now needs to borrow \$1,500,000 to complete the project. It therefore decides to issue \$1,500,000 of 10.5%, 10-year bonds. These bonds were issued on January 1, 2009, and