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expressions/637186: -5a^2-2ab+4b^2-2(2a^2-3b^2= 1 solutions Answer 401487 by jim_thompson5910(28536)   on 2012-08-13 18:42:36 (Show Source): You can put this solution on YOUR website! -5a^2-2ab+4b^2-2(2a^2-3b^2) -5a^2-2ab+4b^2-4a^2+6b^2 -9a^2-2ab+10b^2 So the answer is -9a^2-2ab+10b^2

Linear-equations/637190: IF the graph of the equation y=-x-5 were drawn on the grid, which of the points would be on the line? 1 solutions Answer 401486 by jim_thompson5910(28536)   on 2012-08-13 18:41:36 (Show Source): You can put this solution on YOUR website! There are an infinite number of points that lie on this line. Are you given a list of points to check?

Linear-systems/637179: Help please! I tried this problem for hours and I couldn't figure it out. Also I need this problem done in in linear combination (elimination). -3x-10y=9 14x+18y=-22 Thanks! 1 solutions Answer 401479 by jim_thompson5910(28536)   on 2012-08-13 18:16:51 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by 9. Distribute and multiply. Multiply the both sides of the second equation by 5. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Divide both sides by to isolate . ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the solutions are and . Which form the ordered pair . This means that the system is consistent and independent.

Numbers_Word_Problems/637178: Largest 5 digit number that is even at least 5 digit are less than 4 1 solutions Answer 401478 by jim_thompson5910(28536)   on 2012-08-13 18:12:55 (Show Source): You can put this solution on YOUR website! The number is 33332 since all 5 digits are less than 4 and it is even. Notice how the next largest even number is 33334, but that last digit is not less than 4.

Expressions-with-variables/637147: Solve 10x-2=6x+10 1 solutions Answer 401460 by jim_thompson5910(28536)   on 2012-08-13 16:53:14 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Numeric_Fractions/637146: Perform the indicated operation 1/3 ÷ 3/8 1 solutions Answer 401459 by jim_thompson5910(28536)   on 2012-08-13 16:52:05 (Show Source): You can put this solution on YOUR website! Hint: 1/3 ÷ 3/8 is the same as 1/3 x 8/3 where the 'x' means "multiply"

Linear-systems/637131: 2x-4y=40 8x-3y=82 Is there no solution for this problem? I can't come up with anything that works. I need to show work but can't solve it. Thanks 1 solutions Answer 401447 by jim_thompson5910(28536)   on 2012-08-13 16:05:12 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by 3. Distribute and multiply. Multiply the both sides of the second equation by -4. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Divide both sides by to isolate . Reduce. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the solutions are and . Which form the ordered pair . This means that the system is consistent and independent. Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer. Graph of (red) and (green)

Equations/637122: What word phrase an you use to represent the algebraic expression 4x 1 solutions Answer 401445 by jim_thompson5910(28536)   on 2012-08-13 15:56:46 (Show Source): You can put this solution on YOUR website! 4x translates in English to "4 times some unknown number" or "4 multiplied by some unknown number" Example: Say gas is $4 a gallon. If you buy x gallons, then you'll spend 4x (4 times x) dollars. So if you buy 2 gallons, then you'll spend 4*2 = 8 dollars (excluding tax).

Quadratic_Equations/637120: how do you solve x/5 =2/6 1 solutions Answer 401437 by jim_thompson5910(28536)   on 2012-08-13 15:19:46 (Show Source): You can put this solution on YOUR website! x/5 =2/6 6x = 5*2 6x = 10 x = 10/6 x = 5/3 So the answer is

Numbers_Word_Problems/636983: I am the largest even number less than 50. 1 solutions Answer 401426 by jim_thompson5910(28536)   on 2012-08-13 14:29:30 (Show Source): You can put this solution on YOUR website! You are the number 48 (since anything larger, say 50) isn't less than 50.

expressions/637096: Hi- how do you solve these two problems while using "FOIL"? 1. (3X+2)(X+7) 2. (X-5)(2X-6) 1 solutions Answer 401425 by jim_thompson5910(28536)   on 2012-08-13 14:28:07 (Show Source): You can put this solution on YOUR website! I'll do the first one to get you started. Start with the given expression. Now let's FOIL the expression. Remember, when you FOIL an expression, you follow this procedure: Multiply the First terms:. Multiply the Outer terms:. Multiply the Inner terms:. Multiply the Last terms:. --------------------------------------------------- So we have the terms: , , , Now add every term listed above to make a single expression. Now combine like terms. So FOILs to . In other words, .

Rectangles/637007: Hi Guys - Pretty basic algebraic question here however it would be great if you could provide some assistance. A rectangle is x cm long and y cm wide. There is a frame around the mirrior, which is m cm wide on all four sides. Questions: Write a formula for the area of the mirror and frame. Is your answer a sum or a product, how do you decide? How can this be answered? Thanks, Dom. 1 solutions Answer 401422 by jim_thompson5910(28536)   on 2012-08-13 14:23:35 (Show Source): You can put this solution on YOUR website! The length is x. You add m to to each side of this length to get m + x + m = x+2m So the new length is x+2m cm Similarly, the old width of y cm becomes y+2m cm The new area is then... Area = Length*Width A = LW A = (x+2m)(y+2m) A = xy + 2xm + 2ym + 4m^2 Notice how the second to last line above is a product and the last line is a sum, so either one works.

expressions/637098: 8(6-5)= 1 solutions Answer 401421 by jim_thompson5910(28536)   on 2012-08-13 14:18:40 (Show Source): You can put this solution on YOUR website! 8(6-5) = 8*(1) 8(6-5) = 8

Probability-and-statistics/636975: A population has µ=100 and ơ=20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer 1 solutions Answer 401420 by jim_thompson5910(28536)   on 2012-08-13 14:11:30 (Show Source): You can put this solution on YOUR website! Hint: Compare the standard deviation and the mean absolute deviation (and try to connect the two)

Inverses/636948: Solve the inequality: x + 14 < -11 1 solutions Answer 401325 by jim_thompson5910(28536)   on 2012-08-13 02:18:53 (Show Source): You can put this solution on YOUR website! x + 14 < -11 x + 14 -14 < -11-14 x + 0 < -25 x < -25

Inverses/636947: Find the equivalent number on the 12-hour clock. -22 1 solutions Answer 401324 by jim_thompson5910(28536)   on 2012-08-13 02:17:58 (Show Source): You can put this solution on YOUR website! Add 12 repeatedly until you reach a positive number -22 + 12 = -10 -10 + 12 = 2 So the answer is 2 Note: if you're the previous poster, please post the answer along with the question all in the same place (and don't answer the question as a tutor). Thank you.

Inverses/636935: Find the additive inverse of -9 on the 12-hour clock. 1 solutions Answer 401323 by jim_thompson5910(28536)   on 2012-08-13 02:16:06 (Show Source): You can put this solution on YOUR website! Add 12 to -9 to get 12+(-9) = 3 So -9 and 3 are the same number on the clock (ie going backwards 9 hours is the same as going forwards 3 hours...you land on 3 each time) So you must find a number x such that 3 + x = 0 Solve for x: 3 + x = 0 3 + x - 3 = 0 - 3 x = -3 So -3 is the inverse of 3 Add 12 to -3 to get 12+(-3) = 9 This means that 9 is the inverse of -9 ------------------------------------------------------- Useful shortcut: The additive inverse of 'x' is -x Ex: x = 6 ---> additive inverse: -x = -6 Ex: x = 7 ---> additive inverse: -x = -7 etc etc

Equations/636951: 7a+5=26 1 solutions Answer 401322 by jim_thompson5910(28536)   on 2012-08-13 02:11:53 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Inequalities/636938: Write the inequality that corresponds to this graph: <------[------------> -1 1 solutions Answer 401307 by jim_thompson5910(28536)   on 2012-08-12 20:59:18 (Show Source): You can put this solution on YOUR website! <------[------------> -1 corresponds to the inequality

test/636945: 1 solutions Answer 401306 by jim_thompson5910(28536)   on 2012-08-12 20:58:13 (Show Source): You can put this solution on YOUR website! Problem missing.

Systems-of-equations/636928: if (a, 3) is a solution of the equation y = 4x - 5, what is a? 1 solutions Answer 401294 by jim_thompson5910(28536)   on 2012-08-12 20:01:52 (Show Source): You can put this solution on YOUR website! y = 4x - 5 3 = 4a - 5 Now solve for 'a'

Linear-systems/636894: y/12+1/6=y/2-1/4 1 solutions Answer 401273 by jim_thompson5910(28536)   on 2012-08-12 17:21:20 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

test/636865: -5-6=-y-3+2y 1 solutions Answer 401259 by jim_thompson5910(28536)   on 2012-08-12 15:26:40 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Combine like terms on the right side. Add to both sides. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Geometry_proofs/636868: determine whether the argument is valid or invalid. You may compare the argument to a standard form, or use a truth table. V → W W ________ . . . V 1 solutions Answer 401258 by jim_thompson5910(28536)   on 2012-08-12 15:24:24 (Show Source): You can put this solution on YOUR website! The argument invalid. Draw out the table to get V W V->W W V T T T T T T F F F T F T T T F F F T F F The premises are columns 3 and 4. The conclusion is column 5. Notice how row 3 has all true premises, but a false conclusion. So this shows us that this argument is invalid. V W V->W W V T T T T T T F F F T F T T T F F F T F F

Quadratic_Equations/636842: for the following equation, state the value of the discriminant and then describe the nature of the solutions 19x^2+3x-15=0 1 solutions Answer 401247 by jim_thompson5910(28536)   on 2012-08-12 14:18:12 (Show Source): You can put this solution on YOUR website! From we can see that , , and Start with the discriminant formula. Plug in , , and Square to get Multiply to get Rewrite as Add to to get So the discriminant is Since the discriminant is greater than zero, this means that there are two real solutions.

Distributive-associative-commutative-properties/636839: 3x+6=42 1 solutions Answer 401246 by jim_thompson5910(28536)   on 2012-08-12 14:16:56 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Sequences-and-series/636692: How do i find the 15th term of the series 3,7,11,15... 1 solutions Answer 401178 by jim_thompson5910(28536)   on 2012-08-12 01:41:01 (Show Source): You can put this solution on YOUR website! nth term: an = a1 + (n-1)*d an = 3 + (n-1)*4 an = 3 + 4n - 4 an = 4n - 1 ------------------- 15th term an = 4n - 1 a15 = 4(15) - 1 a15 = 60 - 1 a15 = 59

Travel_Word_Problems/636460: you have to drive 300 miles. for the first three hours, you drive 50 mph. how much longer will you have to drive if you increas your speed to 65 mph? 1 solutions Answer 401032 by jim_thompson5910(28536)   on 2012-08-10 23:14:54 (Show Source): You can put this solution on YOUR website! In the "first three hours, you drive 50 mph", so you've driven 3*50 = 150 miles so far You need to travel the remaining 300 - 150 = 150 miles at 65 mph So this will take you about 150/65 = 2.30769 hours

Travel_Word_Problems/636468: Train A leaves a station traveling at 32 km/h. Two hours later, train B leaves the same station traveling in the same direction at 52 km/h. How long does it take train B to catch up to train A? 1 solutions Answer 401031 by jim_thompson5910(28536)   on 2012-08-10 23:10:41 (Show Source): You can put this solution on YOUR website! Hint: the equation for train A is y = 32x where x is the time and y is the distance traveled. The equation for train B is y = 52(x-2) where again x is the time and y is the distance traveled The two will meet when the two distances are the same. So solve 32x = 52(x-2) for x to find your answer.

Distributive-associative-commutative-properties/636465: Given that f(x) = x^3- x^2 + 2x, what is f(-3)? 1 solutions Answer 401030 by jim_thompson5910(28536)   on 2012-08-10 23:08:08 (Show Source): You can put this solution on YOUR website! So the answer is

Rational-functions/636466: Find the slope of the line passing through (-3, -4) and (3, -2). 1 solutions Answer 401029 by jim_thompson5910(28536)   on 2012-08-10 22:44:40 (Show Source): You can put this solution on YOUR website! Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is