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# Basic Algebra

### Real Numbers

Please show formula and steps if aswers are different? 1. Find decimal notation for -4/25. __x_a. -0.16 ____b. -0.4 ____c. -0.4 ____d. -6.25 2. Find the absolute value: -/-6.8/. ____a. -8.6 ____b. -6.8 __x_c. 6.8 ____d. 8.6 3. Add: -6+12+(-5)+3 ____a. -8 ____b. 4 ____c. 14 _x__d. 26 4. A

### The characteristic polynomial of a matrix and its inverse

Linear Algebra Matrices Eigen Values and Eigen Vectors(II) If A = [1, -2 , 3; 2 , 3 , -1; -3 , 1 , 2] , then find the characteristic polynomial for the matrix. Show how this can be used to find A^(-1). The fully formatted problem is in the attached file.

### Indicated variable and solved radical

Please see the attached file for the fully formatted problems. Please show me the steps how you work the problems so I can work similar problems. Thanks! Solve each formula for the indicated variable. 16. 21. For h 22. for s Raising each side to a power to eliminate Radicals. So

### 20 Quadratic Equation Questions: Word Problems and Complex Roots

(Full Problem Set found in attachment) ----- 7 questions on Quadratic Equations by Factoring: 1) Using the factoring method, solve for the roots of each equation. Place equation in standard form before factoring. Check your solutions and show the check. 3x2 = 75 2) Using the factoring method, solve

### Raising each side to a power to eliminate radicals & Solving Quadratic Equations for completing the square.

I need these solved explanatory detail on each so I can know how to work similar problems. Please see attachment. Thanks Raising each side to a power to eliminate radicals Solve each equation and check for Extraneous solutions 35. 37. Squaring both sides twice Solve each equation and check for Extraneous solut

### Decimal Notation

1. Write a word name for 8.032. ____a. Eight and thirty-two tend-thousandths ____b. Eight thousand and thirty-two ____c. Eight and thirty-two hundredths __x_d. Eight and thirty-two thousandths 2. Write fraction notation for 7.319. ____a. 7319/10 ____b. 7319/100 _x__c. 7319/1000 ____d. 7319/10,000 3. Writ

### Rational Expressions - Reduce each rational expression to lowest terms.

Please see the attached file for the fully formatted problems.

### Simplify the following Boolean function using four-variable map: F(A,B,C,D) = Summation (0,1,2,4,5,7,11,15)

Computer Organization Digital Logic Circuits(XV) Boolean Algebra Karnaugh map or K-map

### Converting Lowest Common Denominators and Rational Expressions

Please see the attached file for the fully formatted problems.

### Multiplying & Dividing Rational Expressions

Please see the attached file for the fully formatted problems.

### Reduce answers to lowest terms.

Reduce answers to lowest terms. 4/ (a-b) + 4 /(b-a) 1/(x^2-4) - 3 / (x^2-3x-10) 2x /(x^2-9) + 3x /(x62+4x+3) (Complete problem found in attachment)

### College Mathmatics (check Homework)

1. In the number 351,472, which digit tells the number of thousands? ____a. 5 ____b. 4 ____c. 3 _x__d. 1 2. Write expanded notation for 7205. ____a. 7 thousands + 2 hundreds + 5 tens __x_b. 7 thousands + 2 hundreds + 5 ones ____c. 7 thousands + 2 tens + 5 ones ____d. 2 thousands + 7 hundreds + 5 ones 3.

### Regression (20 Problems) : Multiple Regression Model Building, Averages and Exponential Smoothing, Hypothesis Testing and ANOVA

1. A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is measured in years. The builder rando

### Polynomials Word Problem : Express the Difference in Areas of Two Circles as a Polynomial

Comparing Dart boards. A toy store sells two sizes of circular dartboards. The larger of the two has a radius that is 3 inches greater than that of the other. The radius of the smaller dartboard is t inches. Find a polynomial that represents the difference in area between the two dartboards.

### Polynomials, Polynomial Operations, Exponents, Fractions and Radicals

1. What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial? 2. When multiplying two polynomials, what fundamental property do you use repeatedly? 3. When working with exponents, is there any difference in operations if the exponents ar

### Order and Laws of Operations

1. Why is it necessary to study the order of operations and the laws of operations before you begin solving equations? 2. What operations can you associate with coefficients? What operations can you associate with exponents? 3. Among the three laws, commutative, associative, and distributive, which one is most frequently used

### Simplify the exponential expressions.

#6 Assume that the variables represent non-zero real numbers. - Simplify the exponential expressions. Please see the attached file for the fully formatted problems.

### Answers in Scientific Notation with Aid of Calculator

Perform the following computations with the aid of a calculator. -Write the Answers in Scientific Notation. -Round to the nearest decimal. Please see the attached file for the fully formatted problems.

### Quadratic formula - error analysis

Improving the Quadratic Formula. Show that these roots can be calculated with the equivalent formulas... (See attachment for full question including Hint)

### Equations and word problems

1- suppose you have 45 muffins. how many muffins are left after you give a friend 1/5 of them? 2- a baker at rod's bakery misread the directions and used 5 3/4 cups of flour in a recipe. it was 1 3/4 times too much flour. how much flour should the baker have used? 3- solve the equation. check the solution: x/3=

### Algebra Application Word Problem : Relative Rates, Speed and Time

Bonnie drove 540 miles in three times the time it took Buffy to travel 135 miles. Buffy's speed was slower than Bonnie's by 15 miles per hour. Find the rate and time of each.

### Polynomial division

Please walk me through this. 6x^4 + 9x^3 + 2x^2 - 8x + 7 / 3x^2 - 2

### Two distinct integers in A whose sum is 104

Let A be any set of twenty integers chosen from the arithmetic progression 1, 4, 7, ...,100. Prove that there must be two distinct integers in A whose sum is 104.

### Word Problems, Simplify, Area, LCM, Solve for X and Hypotenuse

Divide (12a squared - 25a -7 divided by (3a-7) (x cubed - 6x squared + 7x -2 divided by (x-1) A circle has a radius of 10 inches. Find the increase in area that occurs when the radius is increased by 2 in. Round to the nearest hundredth. An object is released from the top of an building 320 ft high. The initial velocity

### Derivatives and Integrals of Exponential and Logarithmic Functions (24 Problems)

1. Find the derivatives for the following functions ("^" means "to the power of", sorry I can't do double exponents on my keyboard) : a. f(X) = 100e10X b. f(X) = e(10X-5) c. f(X) = e^X3 d. f(X) = 2X2e^(1- X2) e. f(X) = 5Xe(12- 2X) f. f(X) = 100e^(X3 + X4) g. f(X) = e^(200X - X2 + X100) 2. Fi

### Functions : Graphs, Limits, Continuity, Equation of Line from Two Points, Equation of Line from Slope and a Point and Linearity (15 Problems)

1. Take the function f(X) = (X-1)/X a. What does this function equal when X = 0, X = 1, and X =2 ? b. How about when X =100, X = 1000, and X = 10,000? c. Describe in words what a graph of this function would look like. d. What would you say the limit of this function is as X approaches infinity? You can use logic or

### Equation Given Two of the Complex Conjugate Roots

The equation x^4 - 18x^3 + 121x^2 - 368x + 420=0 has complex conjugate roots (4+j2) & (4-j2). By a process of division and solving a quadratic equation, find all the roots and hence write down all the factors of : x^4

### Solve using the quadratic equation.

1) -2X^2 - 1 = 0 2) &#8730;X + 4 = 0

### Congruences : Primes, Inverse Modulo, GCD and Wilson's theorem

Please assist me with the attached congruence problems (hint: use Wilson's Theorem) a)Prove if a,b,c Z, N and gcd (c, ) = , then ac bc(mod ) if and only if a b (mod ). b) Let a Z, N, and p > 2 be a prime. Prove that a is its own inverse modulo p if and only if a 1 (mod p ). C) Let a,b Z, N .prove that ax

### Statistic terms

Suppose you calculate a mean of a population and you want to know how representative that mean is of a random data point in that population. In other words, is the data bunched tightly around the mean, or is it more loosely distributed over the possible range of values? An example would be high temperatures in July versus high t