### College Algebra : Solving Quadratic Equations and Using Discriminants (8 Problems)

Please help with the follwoing attached questions: 14, 32,42,52,58,68,70 and 78 Please see the attached file.

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Please help with the follwoing attached questions: 14, 32,42,52,58,68,70 and 78 Please see the attached file.

Please help with the following attached questions: 2,8,12,20 2. If 40L of an acid solution is 75% acid, how much pure acid is there in the mixture? 8. Unknown Numbers: Consider the following problem. The difference between six times a number and 9 is equal to five times the sum of the number and 2. Find the number.

Please help with the attached questions: 4, 8, 10, 14, 18, 24, 30, 38, 42, 54, 62, 78, 82, and 92 (See attached file for full problem description)

How do I figure out the addition and multiplication tables for: Z mod 2 [x] / (x^2) ?

Find the exact values: 1) log (base 10) 1000 2) ln e^-100 3) log (base 5) (1/25) 4) log (base10) (0.1) 5) log (base 12) 3 + log (base 12) 48 6) 2^(log(base 2) 3 + log(base 2) 5) 7) e^(ln 15) 8) e^(3ln2) 9) log(base 8)320 - log(base8)5 -------------------------------------------------------------------------------

Y = x^2 - 4x - 5 = x^2 - 2*2*x - 5 = ( x^2 - 2*2*x +2^2 ) - 2^2 - 5 = (x-2)^2 - 2^2 - 5 = (x-2)^2 - 4 - 5 = (x-2)^2 -9 y = (x-2)^2 -9 How do I put this in the form y=a(x-H)^2+K, how do I graph this function, and why is it not necessary to plot points to graph when using y=a(x-h)^2+K?

If John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be? How do I set up this equation?

Using the Quadratic equation: x2 - 4x - 5 = 0. How do I solve this by factoring? by completing the square? & solve by Quadratic formula?

I need the answers to these last six questions. (See attached file for full problem description)

(See attached file for full problem description)

Modern Algebra Group Theory (XXVII) Subgroups of a Group Cosets of S

The minimum value of z = 5x + 15y, subject to 4x + 3y > 72 6x + 10y < 174 x > 0, y > 0 occurs at: A. (0, 17.4) B. (9, 12) C. (18, 0) D. (29,0)

Select the point which is in the feasible region of the system of inequalities: 4x + y < 8 2x + 5y < 18 x > 0, y > 0 A. (2,4) B. (-1,2) C. (1,3) D. (4,1)

Modern Algebra Logic (XII) Tautologies The Laws of

Modern Algebra Logic (X) Tautologies The Laws of Logic The Basic Logical Laws The Laws of Addition (I) To prove that p => pVq is a tautology. The fully formatted problem is in the attached file.

17. Solve the equation 3 x^2 + 5x = -2 for x. 18. Solve the equations x^2 + 5x + 2 = 0 for x.

Find inverse f(x)= 1/X-1 Convert to an expression involving exponent Loga 4=3 Laws of exponents. 5^3 /5^(3-1) Solve x^3 -6x^2 +8x=0 Find x, y intercepts 2x^2-4x+1

4^(1-2x) =2^(1-2x) 4^x-2^x=0 4^x=8^x

Given an example of squared roots: Let x be a real number such that x > 0. Then there is a positive real number y such that y2 = y?y = x Let S = {s є R: s>0 and s2<x} The S is not empty since x/2 є S, if x<2 and 1 є S otherwise. S is also bounded above since, x+1 is an upper bound for S. Let y be the l

1. Show that if A and > are denumerable disjoint sets then A u > is denumerable 2. Show that every set of cardinalty c contains a denumerable subset 3. Show by induction that 6 divides n^3 - n for all n in N

If m and n are odd integers with n>1, given the sum of n consecutive odd integers, starting with m, is 18,079. Find all possible values of m and n.

Prove that lebesque measurable sets in R^n form sigma algebra. ( Please use basic definition when you talk about the lebesgue measurable sets in R^n). The def we have is: (k_1)^(m)={ -1/2 + m_i =< x_i =< 1/2+ m} m=(m_1,m_2,...,m_n) m belongs to z^d Now we say that A in R^n is Lebesque measurable set in R^n if

Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?

Janet drove 120 miles at x mph before 6:00 a.m. After 6:00 a.m., she increased her speed by 5 mph and drove 195 additional miles. Write a rational expression for her total traveling time. Evaluate the expression for x = 60.

Modern Algebra Set Theory (XVIII) Laws of Algebra of Sets

Thank you for taking the time to look at my problem. I cannot make math symbols, thus, I will let ^ denote "raised to the power." For example, a^2 is a squared or a "raised to the power" of 2. Also, I will use the symbol * to denote multiplication. For example, 2*7=14. Okay, here is my problem: Show that the language L={ a

___ __ _ ___ 5√18 - √12 + 3√2 - 5√75 ___ ___ √27 - √3

12. Simplify: 10 t^6 3 ---- - --- -:- ---- t^2 2 t^5 13. Add: 4 7 ---- + ---- X x^2 14. Sandra can paint a kitchen in 5 hours and James can paint the same kitchen in 6 hours. How long would it take them working toget

Find the two singular points and the residue for each : exp(tz)/(z2 + 2z +17) (t>0) Rearranging equations (1st attachment)

A football player attempts a field goal by kicking the football. The ball follows the path modelled by the equation h=-4.9t2(means t squared)+10t+3, where h is the height of the ball above the ground in metres, and t is the time sincethe ball was kicked in seconds. 1. Describe the path of the ball. 2. After how many sec