### Quadratic Equations and Inequalities

Please see the attached file for the fully formatted problems.

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Please see the attached file for the fully formatted problems.

Please see the attached file for the fully formatted problems.

(See attached file for full problem description) --- ALGEBRA Please add a bit more detail to each problem as to how the answers were derived. Thanks! 1. Perform the indicated operation: (x3 - 2x2 - 4x + 3)  (x - 3) Since x3 - 2x2 - 4x + 3 = (x - 3) ( ), we have (x3 - 2x2 - 4x + 3)  (x - 3) =

1. Perform the indicated operation: (x3 - 2x2 - 4x + 3)  (x - 3) 2. Find the product: (x - 2)(x + 3)(x - 4) 3. Simplify without having negative exponents: (- 3s-3t2)-2 4. Convert to scientific notation and then solve. Give answer in scientific notation: (0.0000003)4 5. Factor completely: 3a3b - 3ab3 6. Factor

Obtain z^10 and z^20 in both polar and Cartesian form for each given z : 3+4i

Tan(-3pi/4i) sin(3+ pi i)

F) Re (2 + 3i)/(4+5i)

Solve for x: x + 8 x - 8 -------- - -------- = 2 5 7

F(x) = e^x/x For f(x), find the following: 1. domain of f 2. y intercepts of f 3. x intercepts of f 4. horizontal asymptote 5. vertical asymptote 6. oblique asymptotes 7. intervals where f is increasing and decreasing: 8. relative minima of f and relative maxima of f. 9. intervals where f is concave down 10.

I need to understand how to figure out a word problem to compare financing a car for 0% financing for 60 months or 2500 vs a 60 month 4 % interest rate. Payments at 0 % are 16.67 per 1000 and payments at 4 % are $18.41 per $1000 financed. Need to know how to find out the range of new car prices for which the cash back options

Use the discriminant to determine whether each quadratic polynomial can be factored, then factor the ones that are not prime. / Solve each inequality. State the solution set using interval notation and Graph it. PLEASE SEE ATTACHMENT/ THANKS

Hi--we are currently working on composite functions. I am having difficulty getting started with this problem. A company that sells radios has a yearly fixed cost of $600,000. It costs the company $45 to produce each radio. Each radio will sell for $65. The company's costs and revenue are modeled by the following functio

Please see the attached file for the fully formatted problems.

Prove that 3^(3n-2) + 3^(6n+1) +1 can be divided by 13 with no remainder for any integer n.

Please see attachment.Thanks for your help!

55. Solve the Equation: 14/(a^2 - 1) + 1/(a -1) = 3(a +1) 64. The student-teacher ratio for Washington High was reported to be 27.5 to 1. If there are 42 teachers, then how many students are there?

This is a bonus question I'm working on for an exam coming up. Find the exact root of X^3 + X -1 = f(x). I need to find it in the format: The exact root of X^2-x-1=0 is x=1+ or - the square root of 5 divided by 2. (Not a decimal or regular fractional number.) I got all the others, but I just can't get this one. Thank

I am having trouble finding the exact root of x^3+x-1.....I can figure out that the exact root of x^2-x-1= 0 is x= 1+/- the square root of 5 divided by two...but the other has me stumped!!!! Please help!!

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

A certain bacteria colony, composed of 1,000,000 cells, has a death rate of 10% per minute. How many minutes does it take for the colony to reach less than 1 cell?

? 49. Automobile Sales. The Ratio of sports cars to luxury cars sold in Wentworth one month was 3 to 2. If 20 more sports cars were sold than luxury cars, then how many of each were sold? ? 15. ? 18. find the value of the indicated variable. ? 25. In the formula of: for p if

Please see the attached file for the fully formatted problems. Finding The Last Term. Find the perfect square trinomial whose first two terms are given 31. Solve by completing the square. Use Calculator to check. 52. 58. Two Irrational Solutions. Solve each equation by using

Please see the attached file for the fully formatted problems.

Please see the attached file for the fully formatted problems.

(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

Let G be a nonabelian group of order 6. Show carefully that G must contain three elements of period 2 and two elements of period 3. Let G be an abelian group of order 2n where n is odd. Determine how many elements of period 2 are contained in G. Fact: G must contain at least one element of period 2 (assume).

Hello-- I am having a problem with factoring a quadratic equation. Here is the question 6x^2+11x-10=0 Please do a problem like this--maybe 4x^2-11x+8=0 because I would like to work this out myself but I would like more of an idea of what I am doing wrong so I can practice and get the correct answer. Thank you very much.

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

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

Please see the attached file for the fully formatted problems.