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# Basic Algebra

### Exponential and Logarithmic functions - The bacteria Escherichia coli are commonly found in the human bladder. Suppose that 3000 of the bacteria are present at time t-0. Then t minutes later, the number of bacteria present can be approximated by:N(t) = 3000(2)^t/20. How many bacteria will be present after 10 min? 20min? 30 min? 40 min? 60 min?

The bacteria Escherichia coli are commonly found in the human bladder. Suppose that 3000 of the bacteria are present at time t-0. Then t minutes later, the number of bacteria present can be approximated by: N(t) = 3000(2)^t/20. How many bacteria will be present after 10 min? 20min? 30 min? 40 min? 60 min?

### Landscape designers often use coordinate geometry and algebra as they help their clients.

Landscape Design Landscape designers often use coordinate geometry and algebra as they help their clients. In many regions, landscape design is a growing field. With the increasing popularity of do-it-yourself television shows, however, many homeowners are becoming amateur landscape artists. Suppose you are a homeowner g

### Solving Amount of Neck Warmers Sold Using Algebra

Mountainside Fleece sold 40 neck warmers. Solid-color neck warmers sold for \$9.90 each and print ones sold for \$12.75 each. In all, \$421.65 was taken in for the neck warmers. How many of each type were sold?

### Mathematics - Algebra [Dividing a polynomial by a binomial]

How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you might use polynomial division?

1. Determine whether the following equations have a solution or not? Justify your answer. a) 5x2 + 8x + 7 = 0 b) (7)1/2y2 - 6y - 13(7)1/2 = 0 c) 2x2 + x - 1 = 0 d) 4/3x2 - 2x + 3/4 = 0 e) 2x2 + 5x + 5 = 0 f) p2 - 4p + 4 = 0 g) m2 + m + 1 = 0 h) 3z2 + z - 1 = 0 2. If x = 3 and x = -5, then form a quadratic equat

### Quantitative Methods - Advice on Regression

We are on Integer Programming which is a part of Linear Regressions. Linear regression determines the straight line that best fits the data. It doesn't make the fit good. An exponential regression determines the exponential expression that best fits the data. It can have a poorer or a better fit than the linear fit for a give

### Solving/Graphing Inequalities

This solution includes several problems on solving and graphing inequalities. Detailed solutions are provided to explain the concept.

### Algebra: Suppose that an object is 100 pounds when it is at sea level.

Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of

### Equations to model problems

Part 1: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year re

### Algebra work problems - Solve for r. r^2+3r=5. The solution are r = ...

Part 1 1. Solve for r r^2+3r=5 The solution are r = (use a commas to seperate answers type n. if there is no solution. 2. Sove for x 1+8/x +52/x^2 =0 The solution are____ Express cmplex numbers in the trms of i use a comma to seperate answers as needed 3. The width of a rectangle is 14ft less than the lent

### Liza kept the following records of her utility bills for 12 months. find the mena of he folliwng set of numbers. ... [See the attached Question File.]

Liza kept the following records of her utility bills for 12 months. find the mena of he folliwng set of numbers. ... [See the attached Question File.]

### Writing equation problem

Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year recorded.

### Mathematics: Calculating combinations of sheets

Benjamin and Olivia are putting a new floor in their kitchen. To get the floor up to the desired height, they need to add 1 ft of subfloor. They can do this in one of two ways. They can put -in. sheet on top of -in. board (note that the total would be ft or 1 ft). They could also put 3/8-in. board on top of 3/4-in. sheet. The ta

### MTH133: Unit 5 Individual Project - A

Please see the attached file for proper formatting of these questions. ============================================= 1) Find the domain of the following: a) f(t) = 4.5exp(t) b) g(x) = log(x +3) c) g(x) = 2^x d) g(t) = ln(t -1) 2) Describe the transformations on the following graph of f(x) = e^x . State the placemen

### Word Programs Involving Algebra

Please help with the following problem. 14. Julio works as a quality control expert in a beverage factory. The assembly line that he monitors produces about 20,000 bottles in a 24-hour period. Julio samples about 120 bottles an hour and rejects the line if he finds more than 1/50 of the sample to be defective. About how many

### Basic Math - Geometry - Algebra

MAT115 - Checkpoint - Week 4 Sy. Section of Basic Mathematical Skills with Geometry (6th ed.) Page Numbers Exercises Section 4.1 pp. 287-291 2, 4, 24, 34, 72 Section 4.2 pp. 301-308 20, 36, 48, 58, 72 Section 4.3 pp. 317-320 32, 68, 70 Section 4.4 pp. 329-333 4, 10, 20, 26, 30, 38, 44 Section 4.5 pp. 345-348 24, 52

### MTH133 Population of 7,000 -.. [See the attached Question File.]

1. The Population of the town is 7,000 people. ... 2. Suppose that the mayor of the town you have chosen has built a new factory in hopes of drawing as many new people to the town as possible. ... 3. Population Decline Modeled by a Rational Equation ... For noninteger answers, please write your answer as a fraction rather

### Several problems on exponential and logarithmic functions

1) Find the domain of the following: 2) Describe the transformations on the following graph of ... . State the placement of the horizontal asymptote and y-intercept after the transformation. For example, left 1 or reflected about the y-axis are descriptions. 3) Describe the transformations on the following graph of ..

### Algebra - Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function ...

Part 1: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year re

### Geometric Distribution - Password Hacker

A computer system uses passwords constructed from the 26 letters (a to z) or 10 integers (0 to 9). Suppose there are 10000 users on the system with unique passwords. A hacker randomly selects (with replacement) passwords from the potential set. A) There are 9900 users with unique 6 character passwords on the system and the ha

### Domain, Functions, and Transformations

For noninteger answers, please write the answer as a fraction rather than a decimal. To show your work, you will need to include the algebra used to compute the solution to any equations, the formula with substituted values, and the final calculated answer with units. Please see the attached document for proper formattin

### Need help with algebra, statistics and geometry

I need help with the attached questions. You will have to open up the attachment to see the questions with proper formatting. ____________________ 18. 13/18 + 11/18 39. 18/23 - 13/23 - 3/23 44. Number problem. One task took 7 minutes (min), a second task took 12 min, and a third task took 21 min. How l

### Overriding A Presidential Veto

Read the article below and use the information you find there to answer the questions that follow. A bill is sent to the president of the United States when it has passed both houses of congress. A majority vote in both the house of representatives (435 members) and the senate (100 members) is needed for the bill to be pass

### Prime numbers, GCF and algebra word problems

Please see attachment for proper formatting. ____________________________________ 10. List the factors of each of the following number for 66. Using the following list of numbers for exercises 13 and 14: 0, 1, 15, 19, 23, 49, 55, 59, 87, 91, 97, 103, 105, 14. Which of the given numbers are composite? 16. Li

### Basic Math for Practice

Place each of the following sets in ascending order. 16. Evaluate 44. Add 40. Evaluate each of the following expressions. 58. ... [See the attached Questions File.]

### Consecutive negative numbers

I am thinking of three consecutive negative numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers? I need to know the correct algebra equation as well to get the numbers. Thanks.

### A Train in Trouble

One hour out of the station, a train engine develops trouble that slows the train to 3/5 of its average speed up to the time of the failure. Continuing at this reduced speed, it reaches its destination two hours late. Had the trouble occurred 50 miles beyond; the delay would have been reduced by 40 minutes. Find the distance

### Basic math

Attached are 50 basic math/algebra problems that I need help with....Please show your work so I can learn how you figured it out. Thanks. 1. Give the place value for the indicated digit. 8 in the number 138,350 A) Tens B) Hundreds C) Thousands D) Ones 2. Find the area of the figure. A)

### Slope and Intercept Questions

Please help me with these problems. See the attached file for proper formatting. _____________________________________________________________________ 1) 7- ) The slope is ________ The y-intercept is (0,____) 9) Find the slope, if it exists, of the line containing the pair of points. (7,5) an

### All of the graphs occur in real life. Find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph.

All of the graphs occur in real life. Find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph.