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Basic Algebra

Polynomials: assorted problems

(Please see the attached file for the full question detains) Please solve and explain these questions: 1, 2 , 7, 17 19 21 1. Write the polynomial in standard form, identify the degree of the polynomial, identify the leading coefficient, and then classify it according to its degree and number of teams. 2y - 3y^2 + 2y^3 + 3

Finding the maximum height

The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula: (see attached), gives the relationship between maximum velocity, V(h) in feet per second, and height, h in feet. 1. Identity the independent variable, dependent variable.(Must use the

Cost Benefit Model

Environmental scientists often use cost-benefit models to estimate the cost of removing a pollutant from the environment as a function of the percentage of pollutant removed. Suppose a cost benefit function for the cost C (in millions of dollars) of removing x percent of the pollutants from Maple Lake is given by C(x) = 25x/(

Business Application: Automobile Production

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

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

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

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

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

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

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

Polynomial Functions and Intermediate Value Theorem

1. Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. F(x)=x^5-x^4+7x^3-8x^2-16x+13; [1.3,1.7] Find value of f (1.3) ____ (simplify) Find value of f (1.7) ______ (simplify) 2. Information is given about the polynomial f(x) whose coefficients a

Polynomial functions, complex zeros

1. Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i; -7+i Enter the polynomial f(x)=a(____) type expression using x as the variable. 2. Find a bound on the real zeros of the polynomial function. F(x)=x^4+x^3-4x-6 Every real zero of f lies between -____and ____ (its not

Various Set Applications And Ranking Matrix

b) Let X = {1, 2, 3} and Y = {-1, -2, -3}. Define the new set X o Y = {z: z = xy for x is an element of X and y is an element of Y}. This new set X o Y is obtained by taking products of pairs of element one from X and the other from Y. Is Y a subset of X o Y? If yes, tell me why -1 is an element of X o y, -2 is an element of X o

algebra: intercepts and parallel lines

1. Using the given equation a) find the intercepts of its graph and b)use the intercepts to graph the equation 2x+5y=10 2. Find an equation for the line w/given properties Parallel to the line 5x-y=-10; containing the point (0,0) y=___ 3. Find the equation of a line that is perpendicular to the line y=1/9x+9 and cont

Various Calculations of Geometry

1. Find the distance d (p1,p2) between the points p1 and p2 p1=(-2,4), p2=(5,6) d(p1,p2)= 2. Find the midpoint of the line segment joining the points p1 and p2 p1=(4,3) p2=(-1,4) midpoint is __________ 3. List the intercepts and test for symmetry y= -2x^7/x^8-2 4. Find the intercepts and use them to graph the equa

geometry and quadratic equation based problems

1) Solve equation r=sqrt(A/pi) 2) Discuss everyday objects that have shapes described by conic section. Remember, the conic sections are the circle ellipse, parabola, and hyperbola. 3) Give examples of quadratic relationship in either nature of business. Remember a quadratic relationship has the form V=a*x^2+b*x+c 4

Radicals, Polynomials, and Nomenclature

The most common business application involving exponents is the calculation of compound interest. Let's introduce some nomenclature. PV = present value ; the money you pay into the plan today. t = the duration of an investment program, in years. FV = future value ; that is, the money you expect to have after n years.

Quadratic Formula Based Questions

This SLP provides some insight into the use of quadratic formulas in business and natural science. 1.A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items? 2.A company's costs, in

Quadratic Factoring and Solving

Show all of your work in a Word document and submit by the end of the module. 1-4: Solve by factoring: 1. 4x2 - 25 = 0 2. x2 - 12x + 36 = 0 3. x2 + 14x + 45 = 0 4. 6x2 - x - 15 = 0 5-7: Solve by completing the square. 5. x2 - 4x + 3 = 0 6. x2 + 5x - 1 = 0 7. 2x2 + 7x - 15 = 0 8-10: Solve by using the quadratic formula:

Simplifying indicated operations

Show all your work in a Word document and submit by the end of the Module. Perform the indicated operations and simplify. (A radical in simplest terms contains no perfect squares; do not use decimals.) 1. 2 √12+ √27 2. 4 √3+ 6√75 3. 2 √y+ √(8z) 4. (√3)( √15) 5. (√8)( √12) 6. (3√y)( -2√y) 7

Sequences and Series of Functions

1. Write the following in expanded for then find the sum a) ^7(Sigma sign) k=0 (k=1)(k+2) b) ^7(Sigma sign) k=4 3k Note: The sigma sign does not show up when pasted here. The 7 is on top of the sigma sign and the k= 0 or k=2, respectively, lies below the sigma sign. 2. Express the following series using sigma notation: a