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Let m and n be any real numbers. What is the distance between (0,0) and (2m, m^2-1)? (0,0) and (2m, m^2-1) subtracting zeroes is inconsequential. SQRT(2m + m^2 - 1) SQRT(m^2 +2m - 1) If this quadratic had rational roots, it would clean up better. But as it is, it is done.

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How do you solve "2x²-2x-1>0"? In my book the instructions are to "solve the inequality." In the back of the book the answer is "(-∞, -0.37) U (1.37, ∞)". Can somebody tell me how to reach that answer? I think it is called interval notation. There is no rational root. Quadratic formula says the roots are 91 +/- sqrt(6)) / 2, which rounds to 1.37 and -0.37. If this were an equation, these two values would be the final answer. But this is an inequality. The solution set is all numbers that make this greater than zero. If you know -0.37 is a root, try -0.4 and -0.3 (either side of -0.37) in the inequality. Which one is...

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Find all x-and y-intercepts of the graph of . y^2=x+4 (2009-09-08) y^2=x+4 Make y = 0 and solve for x. Make x = 0 and solve for y. When y = 0: (0)^2 = x + 4 0 = x + 4 -4 = x When x = 0: y^2 = 0 + 4 y^2 = 4 y = +/-2

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I have a math question? Which numbers are common multiples of 3 & 5? Show the steps you used. a)15 b)135 c)100 d)50 The common multiples of 3 & 5 are infinite. But since you have just four to choose from, simply divide by both. a) 15/3 = 5; 15/5 = 3 -yes b) 135/3 = 45; 135/5 = 27 -yes c) 100/3 = 33.333 . . . -no d) 50/3 = 16.6666 . . . -no

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If the measures of 2 complementary angles are 16z-9 and 4z+3 what is the measures of the angles? If they are comlementary, their sum is 90. So, the equation is: 16z - 9 + 4z + 3 = 90 20z -6 = 90 20z = 96 z = 4.8 16(4.8) - 9 + 4(4.8) + 3 = 90 76.8 - 9 + 19.2 + 3 = 90 90 = 90

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Find the domain of the function P(x)=xsquared-2x+1 The domain is the x-axis, like Leopardgecko said. So we ask what values of x can be plugged into the equation that yield a y-value. Can we use x=0? Yes. f(0)= 1. Can we use x=-1? Yes. f(-1)= 4. Can we use x=-100? yes. The y-value is very high, but there is a real number value. Think of an x-value we can't use. There is no real number, positive or negative, when plugged...

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(k+2)2 too the second power -6k when k=5 is the answer 10 I think your question is: (k+2)^2 -6k (5+2)^2 -6(5) 7^2 -30 49 - 30 19

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∫ (x - 1)^12 dx [from 0 to 2] = a. 1/9 b. 2/9 c. 1/10 d. 1/5 e. 1/11 f. 2/11 g. 1/12 h. 1/6 i. 1/13 j. 2/13 k. none of these (1/13)(x-1)^13 @ 0 = (-1/13) @ 2 = (1/13) (1/13) - (-1/13) = 2/13

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Is it possible to get your g.e.d or high school dipolma on line for free? If it is could someone please direct me to the website? http://www.gedonline.org/

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What similarities and differences do you see between functions and linear equations ? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. o Create an equation of a nononlinear function An equation is a numeric expression with an equal sign. A linear equation maps points onto the coordinate plane that can be connected. The line can be straight or curved. To qualify as a function, every x must have a unique y. Every true function passes the vertical line test, which means a vertical line passing over the function will never cross more than one point at a time....

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I left school after term 1 of year 9, can i go straight to tafe for year 10 at the start of 2010? Every school has different policies. You need to talk to the specific school you want to attend.

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What is the standard of a volley ball court Basically the court is 18m long x 9m wide. More details: http://en.wikipedia.org/wiki/Volleyball

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Inductive reasoning involves moving from the general to the specific true or false It's just the opposite. With inductive reasoning, we prove something true in a specific case. Being true in one situation, we assume it true in all situations.

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I already have a Bachelor's Degree (in English) but I'd like to go back to school for Graphic Design. Do I need to obtain another BA in Graphic Design or can I get away with getting an Associate's Degree? I intend to largely work for myself from home. You really need to research the field you want to enter. What credentials will you need? Will you need a license of some sort? Will you contract with a company that has insurabilty issues that require its contracted / outsourced suppliers to be licenced? Perhaps you just need some extra skills that will enable you to produce marketable products. Either way, I doubt the additional...

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Do you think that some of the rules in schools infringe on the liberties of children? If so, which rules? School rules are reasonable and necessary to maintain order. Any infringement of liberties is absolutely justified. Schools act "in loco parentis," which gives them not only the right to keep order, but the responsibility to keep order. Discipline isn't something we do TO children, but something we do FOR them. Doing them a "favor" of being lax on the rules is...

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An example of a real life application of a quadratic function. Kick a football.

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Compute the volume of the solid formed by revolving the fourth quadrant region bounded by y = x2 - 1 , y = 0, and x = 0 about the line y = 2. a. 43p/15 b. 203p/15 c. 328p/15 d. 668p/15 e. 36p/5 f. 161p/5 g. 176p/3 h. none of these Integrate the function (x^2 - 1) - the function y = 0. Of course the subtract part is irrelevent, but it's still part of the process. Then evaluate from -1 to 0, which is the part that exists in QIV. Basically you evaluate 1/3x^3 - x at x=-1. That is the area of the 2D part. Rotating that about y=2 means your radius is 2.

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Find the vertex of the parabola y = 2x2 – 4x – 6. The formula for finding the vertex is -b/2a. In your case, -(-4)/2(2)= 4/4 = 1 The x-value is 1. What is the y-value? Evaluate your function at x=1. 2(1)^2 - 4(1) -6 2 - 4 - 6 -12 Your vertex is (1 , -12)

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Find the area bounded by y = ex , x = 0, and y = 6e-x . a. 3 - 2(21/2 ) b. 4 - 2(31/2 ) c. 1 d. 6 - 2(51/2 ) e. 7 - 2(61/2 ) f. none of these Either draw a picture or graph it on your calculator. The area is a triangle. The area of any triangle is 1/2bh. The base could be the side against the y-axis. The height would then be the distance perpendicular from the y-axis to the vertex, which is the intersection of y=ex and y=6e-x. That point is roughly (4.38, 11.9). The x-value is all that matters, because it is the distance from...

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Some christian -and other-groups are protesting against the placing on federal property near the white house, of a set of plastic figurines representing a devout Jewish family in ancient Judaea. The protestors would of course deny that they are driven by The protestors would of course deny that they are driven by ignorance and bigotry, but they are only lying to themselves.

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During which months do north and south americans take their summer vacation? North Americans have summer from Jun 21 to Sep 21. South Americans have summer from Jan 21 to Apr 21. The actual date is based on lunar cycles, so it is common for a season to begin on the 20th or 22nd. Since the dates vary from year to year, the 21st is the default date.

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How do you answer 1 devided by 1-sin(x) + 1 devided by 1+sin(x)= 2 sec^2(x) 1/(1-sinx) + 1/(1+sinx) = 2sec^2(x) I'll work the LHS only (1 + a)(1 - a) = (1 - a^2), so by perfect squares in the denominator: (1 + 1 ) / (1 - sin^2(x)) 2 / (1 - sin^2(x)) by identity, (1 - sin^2(x) = cos^2(x) 2 / cos^2(x) cos^2(x) is reciprocal to sec^2(x), so, 1 / cos^2(x) = sec^2(x) 2 / cos^2(x) = 2 * sec^2(x) 2sec^2(x)

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What is germany, U.S.A, australia and great britians international sporting colours? Australia Green Gold Blue Black Germany White bare metal (aluminium, "Silver Arrows") Red United Kingdom Green USA United States White with blue lengthwise stripes Underframe: Blue Blue on white

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Most singaporeans that visit new zealand are reasonably rich- TRUE or FALSE true Anyone who can afford to travel abroad is reasonably rich.

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What's unusual about 2 sentences? i am the news today-nerely noticed, socially withdrawn, devasteted.He expected determined dealing-greedier robbing greedy- yet the extravagant trappings,signaling great treasures,sent this surprising greeting:"good deal!" nonstandard spelling, grammar and syntax

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What is a NAB HECTOR and how can he help with a armed hold-up? N: the nationality of the offender A: the approximate age of the offender B: The general build of the offender H: the approximate height of the offender, compare to an object if you can’t guess some one’s height. E: the offender’s eye colour C: the offenders’ complexion, what colour is the offender skin T: a description of offender’s thatch: Colour, lack of...

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What does 'N.A.B. H.E.C.T.O.R.' stand for? N: the nationality of the offender A: the approximate age of the offender B: The general build of the offender H: the approximate height of the offender, compare to an object if you can’t guess some one’s height. E: the offender’s eye colour C: the offenders’ complexion, what colour is the offender skin T: a description of offender’s thatch: Colour, lack of...

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When dealing with binomial distribution how do you find the mean The mean IS np, where n is the number of independent trials, and p is the possibility of a positive outcome. Example: flip a fair coin 8 times. n = 8, p = 0.5

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A car initially traveling at 1.7 m/s accelerates at a constant 1.5 m/s^2 for 4.0 s. how far would it travel during the acceleration. 1.5x^2 + 1.7x, x = 4 1.5(4)^2 + 1.7(4) 24 + 6.8 30.8 m

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How do you find the range of: y = -sin x? The sine function has a range of [-1,1]. Putting a negative in front of it makes it look like a reflection of itself across the x-axis. The sin curve begins at (0,0) and goes up to (pi/2,1). The negative version still begins at the origin, but goes down to (pi/2,-1). The range is still (-1,1).

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A tennis magazine averages about 150 pages per issue. There are seven ads for every 3 pages. How many ads would you expect in a typical issue? 7 ads for 3 pages, x ads for 150 pages. If you set it up as a proprtion, it is easy to solve. It's better to make your ratios look like fractions, with numbers properly over and under each other, instead of with the / between them. I can't do that here, but when you write it on paper, you can. 7a/3p = xa/150p cross multiply to get: 7a*150p = xa*3p 1050ap = 3xap divide both...

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If the required reserve ratio is 20%, banks loan out all excess reserves, people hold no currency, and the fed sells out $5,000 worth of bonds, what is he ultimate impact on the money supply. The answer is the money supply will decrease by $25,000. why 20% of $25,000 is $5,000.

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If a commercial bank has liabilities valued at $150million, a net worth of $50 million and assets (not including loans) of $80 million, what is the value of the bank's loans? The answer is $20 million can someone please explain why and how to find it What is in the bank's "plus" column, and what is in the bank's "minus" column? Plus: $50M net worth + $80M in assets = $130M Minus: $150M in liabilities The difference of $20M is the outstanding loans.

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Let ABC be a triangle. Two straight lines which are parallel to the side AC divide the triangle into three figures of equal area. In what parts is the side AB divided by the lines, if AB = 10 cm? Turn the triangle so AC is at the bottom. Now the three parallel lines are horizontal, and from the top down, you get three similar triangles. The actual dimensions of the triangle aren't so important. It's the ratio you want. 10 is just a multiplier. The measurements: 10/√3 , 10(√2/√3 - 1/√3) , 10(1-√2/√3)

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How can we find the domain & range of following function trigonometric function y=sin(2x+pi/3) + 4 i beg you people i have a placement test and i forgot this Basically, it's a modified sine curve. There is nothing to restrict the domain: no radicals, no zeros in the denominator, no asymptotes, . . . So the domain is +/- infinity. And, as a sine curve, the range is limited to (-1,+1). 2x+pi/3 is just a number, granted, a strange one. The +4 shifts it a little, so the functions isn't zero at the origin.

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How do you get the exact value of cos240? pls help! test tomorrow!! Sometimes it helps to put it in QI. If you subtract 180, it is 60. Whether it is 60 or pi/3, it's easier to work with than 240 or 4pi/3. It has the same trig values (sort of), but is easier to work with. Cos(60) is .5 and cos(pi/3) is 1/2. Putting it back in Q3, all cos values are negative. The better you get, the less you need to do this, but it can help sometimes when...

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Use mathematical induction to prove that the statement is true for every positive integer n. (1-1/2) (1-1/3) ...(1-1/n+1) = 1/n+1 Show(1-1/n+1) = 1/n+1. First use an easy value of n. Try n = 1. (1-1/1+1) = 1/1+1 (1 - 1/2) = (1/2) It works Now show it works with n=(n+1). Set the first term evaluated at n+1 equal to the second term evaluated at n added to itself evaluated at n+1.(Wherever the text used summation notation, you should, too, just in this first line.) 1 - 1/(n+1)+1 = 1/ n+1 + 1/(n+1)+1 The next...

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Okay so this is probably stupid but I am confused and getting stressed. I am working on my Algebra for class tomorrow. It says "find the unknown in each equation". Here is one of the equations logx(small and to the bottom)49=2. What is exactly the unknown What exponent takes x to 49? or x to what power equals 49? The answer is 2. So, x to the second power is 49. What is x?

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For i = , if 3i (2 + 5i) = x + 6i, then x =? 3i (2 + 5i) = x + 6i distribute into the parentheses first 6i + 15i^2 = x + 6i subtract 6i from both sides 15i^2 = x solved for x divide both sides by 15 i^2 = x/15 square root of both sides i = square root of (x/15) done

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Describe the probability distribution of x, and calculate the probability of the employee making exactly 28 sales during a 100-call shift. What is the probability that the employee will make less than 28 sales during the 100-call shift? The reson no one has answered is because you haven't provided enough information. 28/100 means p(.28) Knowing only that, a distribution cannot be determined. What is the mean sales rate? Do you have any other relevent information?

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What is 1,100% as a mixed number The term "percent" means part of 100. The fraction way to represent it is a number over 100. For example, 80% means 80 parts of 100 or 80/100. Your number is 1100/100. In some cases, this could get ugly. But this time it just divides out evenly to be 11. There are no remainders to represent in mixed fraction form.

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I know the answer, but not how to get there. I have 4x-12y=0 and 9y^2-12x=0 and I'm solving for x and y. The answer is (12,4) according to mymathlab, but I forget how to get there. Anybody remember this stuff? There are many correct ways to look at this problem. The best way is the one described in this section of your text. What method are you learning right now? Without knowing that, I choose the way I like best. These equations both equal 0. If you factor out a multiple and divide both sides by it, what is left still equals 0. This cleans up the math significantly. 4x - 12y = 0 4(x - 3y) =...

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What is the sum of 2/5 and 2/4? These fractions can't be added in their present form. They must be renamed so they have a common denominator. For 4 and 5, that is 20. 2/5 = 8/20 and 2/4 = 10/20 The new problem is 8/20 + 10/20, which is 18/20. This should be reduced to 9/10.

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What is the product of 3 2/3 and 14 2/5? Mixed fractions need to be converted to improper fractions before multiplying. Rewrite your problem as 11/3 X 72/5. But the 72 and 3 can be reduced to 24 and 1, so your reduced problem is 11/1 X 24/5, which is 264/5. Returning that to a mixed fraction gives 52 4/5.

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When you change 33 inches to feet ,how can you easily tell if your answer will be an improper fraction? Your answer shouldn't be an improper fraction. One foot is 12 inches (too small). Two feet is 24 inches (too small). Three feet is 36 inches (too big). Subtract two feet (24 inches) from 33 inches to get 9 inches. You have 2 feet, 9 inches.

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If y=3 then y3(y3-3)= 3^3[(3^3) - 3] 27(27 - 3) 27(24) 648

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When 4 times a number is subtracted from 7 times the number, the result is 27. What is the number? (7x - 4x) = 27 3x = 27 x = 9

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Slove for x: x^4-11x^3+41x^2-51x=0 This factors to: x(x-3)(x^2 - 8x + 17) When quadratic formula is applied to the last part, it yields a complex number. We can discard that. What is left is x(x - 3). One of them needs to equal 0. Either x = 0, or x = 3.

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( x^+2x-3)+(4x^+9) Since you're adding these two sets, you can remove the parentheses and just combine like terms. x^2 + 4x^2 = 5x^2 -3 + 9 = 6 So: 5x^2 + 2x + 6

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I need help! Two tagents are drawn to circle O from external point P. If the major arc formed has a measure of 280 degress, find angle P. I need to know how to solve! Answer would help, but please explain too! If the lines are tangent to the circle, they touch the circle at a right angle to the center point. From the center to the tangent points, turn 90 degrees to go to point P. From one tangent point to the other tangent point is an arc around the circle of 280. The angle inside the circle is also 280. From one point to the center to the other point takes you through a 280 degree angle. ...

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What are two examples of rate that most people commonly encounter? miles per hour

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Dan, Shelly, and Kirby worked together sodding a lawn. Together they earned $4,000. DAN WORKED 40 HOURS, Shelly worked 25 hours, and Kirby worked 15 hours. How should they divide the money? Altogether the job took 80 hours. Dan worked 40/80, which is half. Shelly worked 25/80, which is 5/16. Kirby worked 15/80, which is 3/16. Dan gets 1/2 of $4,000, which is $2,000. Shelly gets 5/16 of $4,000, which is $1,250. Kirby gets 3/16 of $4,000, which is $750.

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Is it possible to have a vector*b vector=avector.bvector? Try that again with a better worded question. People who want to help want to give good answers and explanations. But a poorly worded question can only get poor results.

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What is the ratio of x to y: 2x=3y 5x=7y x/3=y/2 2x-3y=0 x-5y=o How many x's to how many y's. Reduce if necessary. 2x + 3y 2 x's to 3 y's 2:3 ratio x/3 = y/2 ; x divided by 3 = y divided by 2 ; 1/3:1/2 ratio

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What is intensionaly in a effective treatment given to member of a control group in an experiment? Poorly worded / spelled question. I think the answer you want is placebo.

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Do jesus people ask, then ridicule, if you do not respond the way they think you should? No. People do all kinds of unChristlike things in the name of Christianity. I think I like your term better: Jesus People. Those who follow Jesus are a class well above Christians.

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Is it wrong to use the word cast as casts in its noun form??? for example is it wrong to write a statement saying "the casts in the movie are..." Wrong? Not sure. Awkward? Definitely yes.

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Why we prefer normal distributions over other distributions in statistics? A normal distribution represents a large population that represents the “norm.” Dead center on the curve is the population average. Between one standard deviation on the left and one standard deviation on the right is about 68% of the population. This is much easier to analyze.

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How do you find the answer for x and y if X + Y = 7, x + 2Y = 11 Set one equation over the other. In this case, the x's are already over x's and y's over y's. Otherwise you would need to rearrange them to fit. The goal is to get something to cancel when you add them together. x + y = 7 x + 2y = 11 In this case, adding them gives us 2x + 3y = 18 Nothing cancelled. If we multiply the top equation through with -1, it would...

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One such formula was x2-x+41. Select some numbers for x,substitute them in the formula, see if prime numbers occur. Try to find x for that when substituted in the formula yields a composite number. Select atleast 5 numbers;0,2 even and 2 odd Don’t use numbers any larger than necessary. Start with 1. (1)^2 – (1) + 41 41 Another easy number is 2. (2)^2 – 2 + 41 43 0 is even easier. (0)^2 – 0 + 41 41 Try one more odd and one more even.

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Mathematical induction is a two-step process that tests the truthfulness of mathematical formulas. How many "falshoods" have to be found in order to prove a theorem to be false? When you do the first step, you evaluate the statement with something easy, like 1 or 0. When that is true, you can move on to the next step. If that is not true (falsehood), you can stop right there, because the whole theorem is false. So my answer is 1. If that first part doesn’t hold, the theorem is false. Do you have any examples?

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A few problems i need help on. PLEASE! 3t ≥ 6t + 12 4(2-x) - 3(1+x) < 5(1-x) 4[5x - (3x-7)] ≤ 2(4x-5) Thanks a ton. 3t ≥ 6t + 12 subtract 6t from both sides -3t >12 divide both sides by -3 t > -4 put -4 back into the original expression instead of t, put (-4) 3(-4) > 6(-4) + 12 -12 > -24 + 12 -12 > -12 _______________________ 4(2-x) - 3(1+x) < 5(1-x) work parentheses first 4 * 2 - 4 * x, -3 * 1 + -3 * x 5 * 1 – 5 * x to get 8 – 4x – 3 –...

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Remove parenthesess and combine like terms. (questions ill write in answers) Ask a question.

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If the perimetre of a square made by a string equals to 48 cm, then what is it's length, breadth and area? Let us see how good are you in maths solve this very easy question then I am going to giving you more harder questions. If the perimeter is 48, then each side is 12. If the sides are 12, the area is 12 x 12, or 144.

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Describe the social economic and political composition of the decade of corporate greed and how it affected the political climate of the 1980's. Keep in mind that Reagan's tax policies favored some people over others. This is a loaded question that begs a socialist response. Capitalistic greed is what gave the US the strongest economy in the world. Government controls and socialist policies have served to crush that force out of the market. The competative market, where real money is made, has moved overseas. What remains today is over regulated and over taxed. And . . . how is that working for us?...

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If the price of a good decreases, what happens to supply? If I'm manufacturing / selling / growing something, I'm going to produce something that brings a good price. I want to sell something more as the price of it goes up. As the price goes back down, I will look for something more profitable to sell. On the other side is the consumer. As the price goes up, I want to buy less of it.

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What is something that shouldn't be taught online? Most math is very difficult to learn unless you're sitting in a real class watching a real teacher explain the process. Unless there are video lessons, I would recommend against online math courses.

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Solve the proportions by using whichever method you think is the easiest 4/15 = x/5 Cross-multiply and divide is the easiest way. By "cross-multiply" I mean 4*5 or 15*x. Since 15*x won't give you a numberical answer, use 4*5, then divide by the other unused number, 15. So, 4 x 5 / 15.

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Should i stay in school? or join the army? If you're asking the question, I suspect your college experience isn't all you had hoped for. It's very normal for young adults of college age to feel doubts about their future and the course they're currently taking. I was exactly in that position after 2 years of college. Instead of killing myself for classes I wasn't so sure I wanted *or had the discipline /...

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If a 6-year old child were to have a "crush" on somebody already would that mean that they were going to develop into puberty quicker? This is very normal. The crush is emotional and developmental rather than sexual.