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# Basic Algebra

### Solve using the multiplication principle

1. Solve using the multiplication principle -4x> 4. The function H described by H (x)=2.75x+71.48 can be used to predict the height, in centimeters, of a women whose humerus (the bone from the elbow to the shoulder) is x cm long predict the height of a woman whose humerus is 33 cm long . The predicted height of a woman wh

### Two Real-Life Examples of Quadratic Equations

Give examples of how quadratic equations can be used to solve everyday problems.

### Translate the English sentence into an equation using the variables indicated. The ratio of brick houses to wooden houses in a particular city is 5 to 11. Let b = the number of brick houses and w = the number of wooden houses.

Translate the English sentence into an equation using the variables indicated. The ratio of brick houses to wooden houses in a particular city is 5 to 11. Let b = the number of brick houses and w = the number of wooden houses.

### Legendre Polynomials and Least-Square Approximation

Using Legendre polynomials of degree 1, 2, and 3, find the least-squares approximation for the function e^(-x) on [2, 4]. I am confused as to how to do this on the interval [2,4] and not [-1,1] I have included the notes on this section, including an example (see the attached file).

### Quadratic Equation: Find the Length of the Original Garden

Tashia Baker is planning an expansion of a square flower garden in a city park. If each side of the original square is increased by 7 meters and the new total area of the garden will be 144 square meters. Find the length of the original garden.

### Simplify

Simplify. Assume all variables represent positive numbers. &#8730; (x4 y3)

### Evaluate if possible 3&#8730; - 64 [cube root of -64]

Evaluate if possible 3&#8730; - 64 [cube root of -64] and 3&#8730; 64 [cube root of 64] and &#8730; -64 [sqrt(-64)] and &#8730; 64 [sqrt(64) ]

### Inequality Numbers Determined

Please see the attached file. Determine whether the given numbers are solutions of the inequality Hello I'm working on 250 questions and out of them I'm having a little problem with these problems and was wondering if any one could help put and walk me through them also Determine wheather the given numbers are solutions o

### Simplify

Simplify ã (32x5y2) that is sqrt (32x5y2).

### Suppose a population of initial size 100 grows at the rate of 8% per year forever.

Suppose a population of initial size 100 grows at the rate of 8% per year forever. What is the size of the population at the end of year 1? What is the size of the population at the end of year 2? What is the size of the population at the end of year 3? What is the size of the population at the end of year n (for any intege

### A stamp collection consists of 3, 8, and 15 cent stamps.

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. [Fifteen points for

### Predicting Price Using Inflation Rate

St. Kitts and Nevis is a small Caribbean island country that uses East Caribbean Dollars (XCD) as currency. Their annual growth rate is 2.1% and their inflation rate is 3.6%. Use the equation S=C(1+r/100)^5 to find the inflated cost S, in 5 years, of an item, good or service, where C is the current price of that item in XCD a

### The difference between an equation and an expression

Can I get some help for me to understand what is the difference between an equation and an expression? Can you solve for a variable in an expression? Could you explain. Can you solve for a variable in an equation? Can you explain this to me. Could you give me a phrase or sentence for me to understand?

### Analyzing Horizontal and Vertical Asymptotes

Question: Find the equations for the horizontal and vertical asymptotes of the following graph presented in the attached document. Use none to describe the graph if the function does not have an asymptote. Please see the attached question file which shows the two graphs required for this question.

### Subgroup proofsno structures

I would love to have a usual word format answer with detailed proofs. The problems are 6 in total, the numbers are: from attached page #1: #2.82; 2.86; 2.87, from attached page #2: # 2.97; 2.98; 2.99. Thanks in advance. The student.

### Writing a Mathematical Expression for Total Profit

There is a fixed cost of \$50,000 to start a production process. Once the process has begun, the variable cost per unit is \$25. The revenue per unit is projected to be \$45. Write a mathematical expression for total profit.

Please help with the following: Post your response to the following: How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution? Starting a Business Starting your own business can be exciting and daunting at the same time. Businesses use math when managing finances

### Arithmetic Sequences and Euler's Theorem

I really need some help with this. Someone has got to have the background for this one. "Let p1(x) = x^3 + x + 1 and p2(x) = x^3 + s + 2 in F5[x]. F5[x] is ust the set of all polynomials in x with coefficients from the set {0,1,2,3,4} with arithmetic done mod 5. Compute (x+2)^2114 in F5[x]/(p1(x)) and in F5[x]/(p2(x)). The

### You are planning to spend no less than \$6,000 and no more than \$10,000 on your landscaping project.

Can you help me with these math problems. I am confused. Answer the following questions. Use Equation Editor to write mathematical expressions and equations. 1. You are planning to spend no less than \$6,000 and no more than \$10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you

### Practice problems on Quadratic Equations

9 practice problems on quadratic equations in the attached file. 8)a)Solve 7x+x(x-2)=0 b)Find the x-intercepts of f(x)=7x+x(x-2) 15) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=2x2-8x+6 (21) Solve by completing the square (23) Find the vertex,

### Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.

This is the last part of my study guide for my final that I have next week. I would really appreciate if you could please help. I already have half done but this is the part I am having trouble with. Thank You. Final Study Guide 3 1. Suppose you are in the market for a new home and are intereste

### Algebra: Solve by Completing the Square

See the attached file. Solve by completing the square ________________________________________________________________________ The width of a rectangle is 1ft less than the length. The area is find the length and width. The width is __________ft The Length is _________ft A farmer decides to enclose a rectangul

### Find the vertex, line of symmetry, and the maximum or minimum value of a quadratic function

Please see the attached file - Don't mind the graphing portion, work what can be worked. I have to input answers not write out the whole equation. 7. Find the vertex, line of symmetry, and the maximum or minimum value of a quadratic function, and graph the function.f(x) = -x +6x +2 The vertex is 8. Find the vertex,lin

### Newton Divided Difference Interpolatory Polynomial

Hi, Your assistance with the following interpolation problem would be appreciated. I do have an existing Maple program that might be of assistance. Please let me know if you would like it. Approximate the following function using the set of nodes {1.0, 1.25, 1.75, 2.0, 2.5, 3.0} Use the Newton divided - difference inter

### Polynomials & Exponents

Please complete the attached equations and show each step for completion. 1. (x - 2) / (2 - x) 2. (x^2 - 3x +5) /( x + 2) 3. -6a^7 b^6 c^2 / (-2a^3 b^8 c^2( 4. w^(-6) /w^(-4) 5. (-2x-6 y)^3 6. Convert to a scientific notation: 0.0000065 7. Perform equation by converting to a scientific notation and give answ

### Using a Payoff Table to Determine Optimal Quantity

See attached file for further question details. 1. Bev's Bakery specializes in sourdough bread. Early each morning, Bev must decide how many loaves to bake for the day. Each loaf costs \$0.35 to make and sells for \$1.15. Bread left over at the end of the day can be sold to a day-old baked goods store for \$0.25. Past data indic

### Green Valley Mills produces carpet at plants in St. Louis and Richmond.

1. Green Valley Mills produces carpet at plants in St. Louis and Richmond. The carpet is then shipped to two outlets, located in Chicago and Atlanta. The cost per ton of shipping carpet from each of the two plants to the two warehouses is as follows: To (cost) From Chicago Atlanta St. Louis

### Regression, Correlation, Least Squares Line, Etc.

** Please see attachment! ** The material is from MORE REGRESSION PROBLEM. Please use any computer software to solve the problem if you want. Please provide the evidence of your work and explain your solution. Thank you. June Rainfall Blueberry 4.1 56.2 5.18 40 4.52 45.9 5.49 45.3 4.89 38.5 1.11 3

### Graphing and Equations for Slope-Intercept Forms

Please show work 1. Solve by graphing: 4x +5y = -2, 4y -x = 11 2. Write in the slope-intercept form: y + 2/3= - (1/2)[x -( 2/5)] 3. A gun is fired straight upward. The bullet leaves the gun at 1000 ft. per sec. The equation for the bullet's velocity is v = -32 t + 1000. What is the v

### Prove that a power series converges absolutely everywhere or nowhere on its circle of convergence.

Prove that a power series converges absolutely everywhere or nowhere on its circle of convergence.