### Solve Quadratic Equations

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

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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

Let an, n>= 1 be an increasing sequence of positive real numbers. Prove that 1/a1 + 2/(a1 + a2) + .... + n/(a1 +... + an) < 4(1/a1 + 1/a2 + ... + 1/an) Can anything be said about the constant 4? ---

When measuring a line with a ruler. When the question asks you to round to the nearest 1/2 inch, how do you determine if it is the nearest whole number or the nearest 1/2 number? Is the answer always a whole number?

Follow the steps to see if the puzzle works. § Start with 60 and divide by 2. § Add your telephone number. § Subtract 25. § Multiply by 3. § Subtract 15. § Multiply by 2 § Divide by 6. The remaining digits should be your telephone number. Why does this work? What properties of addition & multiplication

Let p and a be positive integers and suppose that p|a2. a) Show that p|(ra + sp)2 for all integers r; s. b) Use part a), the definition of prime integer, and Theorem 15.1.1 to construct a proof by induction that p|a. [Hint: If a (< or =) p consider p = qa + r, where 0 (< or =) r < a. If p < a consider a = qp + r, where 0 (<

4(3w+4)greater than or equal to 4(2w+12), it says to put answers in interval notation, that goes along with this one: 4-(3/2x-3)>1/2(x+5) I am not sure how to sove either one of these, they are somewhat the same except the second question asks for the answer in set builder notation.

2X+4Y is greater than or equal to 8? The question is choose the ordered pair, which is the solution of the inequality.

Given the system of inequalities. Find the coordinates of the vertices. 6y-x is less than or equal to 8 -y+3x is less than or equal to 6 x is less than or equal to 0

The absolute value of 1/2n+2 is equal to the absolute value of 3/4n-2. How do I solve when there are fractions involved?

Show that the change of variables.... Reduces 21.1 to the simpler and more familiar form from Ch. 18 Greenberg text, change of variables Please see the attached file for the fully formatted problems.

1. Very rarely do people use algebra in their jobs or their lives. At most, people use arithmetic. If this is the case then why do you suppose it is that we study algebra in the first place?

Use the method found in the proof below to find a primitive element for the extension Q(i, 5^(1/4)) over Q. *Recall that the extension field F of K is called a simple extension if there exists an element In this case, u is called a primitive element. **Theorem: Let F be a finite extension of the field K. If F is separabl

Let f(x) = 3 - 7e^(x+5). The domain of f^-1(x) is: _______

7 log6 9(log2 80 - log2 5) Please see the attached file for the fully formatted problem.

Find the number of solutions of the equation x+y=xe^y+ye^x

A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes in three sizes for each sex. How many different types of this shirt are made?