### Basic Algebraic Equations Exercise 5

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Picture of exercises in word doc. May take time to enter.

Find the general solution of the ODEs attached (about 10 different problems involving differential equations with constant coefficients) Solve the IVPs attached

Y1: Find the general solution of the OEDs: y'''-3y"+3y'-y=0 y"=0 y"+y'-2y=0 5y"-10'=0 And about 8 other ODEs with IVP

Please see the attachment for problem related to nonnegative integer and my solution (needs to be edited and confirmed)

Please remember to show your methodology as well as the answer. How you solved the problems remember to follow logical rules AND PLEASE BE CAREFUL - CHECK YOUR ARITHMETIC WATCH OUT FOR THOSE QUESTIONS THAT NEED ± SOLUTIONS There are 25 questions. For questions 1 through 9, perform the indicated operations. If possib

Let S = Z_43 (where the underscore, "_", indicates that what follows it, in this case 43, is a subscript). Let Q be a subset of S that contains ten non-zero numbers (i.e., that Q contains ten non-zero elements of S). Prove that Q contains four distinct numbers "a," "b," "c," "d" such that ab = cd in Z_43.

Five children collect N pieces of Halloween candy and decide to split it evenly among them. When they try to divide it they have two pieces of candy left over. One of the children leaves, taking the 26 pieces of candy she collected with her. The remaining four children try to split the N-26 remaining pieces of candy and discover

Explain why 2 and 3/2 cannot be the roots of 2y2 - 7y + 3 = 0

1. For the quadratic equation y = cx² + dx + e (where c, d and e are constants), what is the x-coordinate of the vertex? 2. For the same quadratic equation as above, what is the y-intercept? 3. Solve by the square root property: 4x² = 100 4. Solve by completing the square: x² - 10x + 4 = 0 5. Solve by usin

Please see the attached file for the fully formatted problems. Q1. Solve {see attachment} Q2. Solve 9 - 7+15/5 - (6-3)4 Q3. Solve {see attachment} Q4. Find the equation for the line with slope 3/5 and passing through the point (4, 2). Q5. Solve |2x-5| >= 14 Q6. A store issued coupons worth 20% off from any pu

Hello, Stumped on this one. Need to solve for y. 10-6xy = 4y + 8

1. The width of a rectangle is 8 feet less than the length. If the area is 20 square feet, find the length and the width. 2. Solve the equation: x(x - 4) = 12 3. A boat travels 30 miles upstream against the current in the same amount of time it takes to travel 42 miles downstream with the current. If the rate

Let a and b be integers. A common multiple of a and b is an integer n for which a|n and b|n. We call an integer m the least common multiple of n provided (1) m is positive, (2) m is a common multiple of a and b, and (3) if n is any other positive common multiple of a and b, then n [greater than or equal to] m. The notation fo

I has been too long since I worked with detailed equations. I need to find out what (a) would be in the attached formula.

Prove by induction that (1 + 1/2)^n >= 1 + n/2 for all n in N

Solve an inequality. Write a solution set using interval notation. X^2 - 3 X - 5 >/= 0 "( X^2 - 3 X - 5) is greater than or equal to 0" PS: Please use those symbols, Multiplication * , fractions /, Exponents ^, Roots sqrt( )or √( ), - √( ), Infinities - ∞, ∞, minus - or plus + For examp

1. When the FCC conducted the original A and B block PCS auction, what were the companies that won the license for Cleveland Ohio? What is the MTA number for Cleveland? How many pops were covered by the license? 2. Who was the winner original high bidder(s) for the D-Block auction for Houston BTA? What was the BTA number? Wh

SHOW ALL STEPS WITH SOLUTION. FACTOR OUT THE GCF IN EACH EXPRESSION. 1. 12X^4T + 30X^3T - 24X^2T^2 2. 15X^2Y^2 - 9XY^2 + 6X^2Y FACTOR EACH POLYNOMIAL 1. 3X^2 + 6X + 3 2. X^3 + X^2 - X - 1 3. 3A - 3B - XA + XB FACTOR OUT EACH POLYNOMIAL AND FACTOR OUT THE GCF 1. H^2 - 9HS + 9S^2 2

Please see the attached file for the fully formatted problems. 1. Pick your favorite financial site on the web 2. Go there and get the stock price for McDonalds for the first trading day in March and April of this year 3. Develop a trend line slope (change in dollars per month) 4. Check the stock price for the first trad

Please see the attached file for the fully formatted problems. For questions 1 through 4, simplify the expressions. 1. 9 - (- 2) + (3 - 4) 2. - 2/3 - ½ 3. - 8 ÷ 4?3 4. - 8 ÷ (4?3) 5. Evaluate the expression - 6(x + 3) for x = 2 6. Look at this expression: 12x³y + 3x²y² + xy³. Is this a binomial? Of what

I am having trouble with these six 6 questions. Can you please help me? I am missing some concepts. Thank you for your assistance.

A bacteria culture starts with 760 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1520 bacteria. Express the population after t hours as a function of t.

Please answer this two part question: 1. How do I solve this equation? (y + 2)2 + (x - 3)2 -------- -------- 25 16 2. How do you graph this equation?

Please answer this two part question. 1. How do you find the graph of the hyperbola with its fundamental rectangle based on these two equations of the asymptotes of the hyperbola? -4x + 3y = 0 and 4x + 3y = 0 2. Please graph the hyperbola with its fundamental rectangle.

Please answer this two part question: 1. How do you solve 2. How do you graph it y = P(x) = x2 + 1 ------ x2 - 4

Suppose that -1 < r < 1. Prove that r^m -> 0 as m -> infinity. (I think you can write 1/r in the form 1+y, where y>0. Also I believe you can use the Bernoulli's inequality (1+y)^m >= 1+my for all m belonging to N(natural numbers))

Prove that when two springs are attached one at the end of the other, the coefficient of the final spring becomes 1 / (1/k1 + 1/k2 ) where k1 and k2 are the coefficient of the two individual springs. Then consider two systems of springs, one in which a mass m is attached two the end of two springs which a

Hello, Can you please show me how to do this problem and how it would look graphed? Thanks x +3y = 6

Prove Hogatt's Theorem: Any integer number can be written as a sum of terms of Fibonacci series. See attached file for full problem description.

1. Perimeter of a rectangle. the length of a rectangular swimming pool is 15 feet longer than the width. if the perimeter is 82 feet, then what are the length i width. 2.Household income. Alkena and Hsu together earn $84,326 per year. if Alkena earns $12,468 more per year than Hsu, then how much does each of them earn per y