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 sets-and-operations/561295: Numeration System and Sets Explain how you would decide how to divide a school of 2080 students into sets? 50-100 words thanks for all help really makes a difference1 solutions Answer 364228 by jim_thompson5910(28595)   on 2012-01-23 16:18:30 (Show Source): You can put this solution on YOUR website!You can divide them up by class, gender, height, age, social circle, etc to form many sets. For example, you could have one set be the set of all boys and the other be the set of all girls.
 Probability-and-statistics/561282: create a data set that contains five values and has a range of 101 solutions Answer 364226 by jim_thompson5910(28595)   on 2012-01-23 16:11:55 (Show Source): You can put this solution on YOUR website!One such data set is {3, 5, 8, 9, 13} ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 test/561205: 1 solutions Answer 364225 by jim_thompson5910(28595)   on 2012-01-23 16:10:29 (Show Source): You can put this solution on YOUR website!missing problem
 test/561286: -6(8n-6)+1<37-6n1 solutions Answer 364224 by jim_thompson5910(28595)   on 2012-01-23 16:10:15 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Combine like terms on the left side. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 test/561291: X + 1/3=3/41 solutions Answer 364223 by jim_thompson5910(28595)   on 2012-01-23 16:09:46 (Show Source): You can put this solution on YOUR website!X + 1/3=3/4 X=3/4-1/3 X=5/12 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 test/561262: 1 solutions Answer 364219 by jim_thompson5910(28595)   on 2012-01-23 15:40:53 (Show Source): You can put this solution on YOUR website!missing problem
 Functions/561240: Is f(x)=15 or f(x)=12 a function or not?1 solutions Answer 364215 by jim_thompson5910(28595)   on 2012-01-23 14:52:01 (Show Source): You can put this solution on YOUR website!Both f(x)=15 and f(x)=12 are functions since every x goes to one single y.
An example 7xsquared +17x+6. Any help is greatly appreciated. Joey
1 solutions

Answer 364214 by jim_thompson5910(28595)   on 2012-01-23 14:50:56 (Show Source):
You can put this solution on YOUR website!

Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is .

Now multiply the first coefficient by the last term to get .

Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ?

To find these two numbers, we need to list all of the factors of (the previous product).

Factors of :
1,2,3,6,7,14,21,42
-1,-2,-3,-6,-7,-14,-21,-42

Note: list the negative of each factor. This will allow us to find all possible combinations.

These factors pair up and multiply to .
1*42 = 42
2*21 = 42
3*14 = 42
6*7 = 42
(-1)*(-42) = 42
(-2)*(-21) = 42
(-3)*(-14) = 42
(-6)*(-7) = 42

Now let's add up each pair of factors to see if one pair adds to the middle coefficient :

First NumberSecond NumberSum
1421+42=43
2212+21=23
3143+14=17
676+7=13
-1-42-1+(-42)=-43
-2-21-2+(-21)=-23
-3-14-3+(-14)=-17
-6-7-6+(-7)=-13

From the table, we can see that the two numbers and add to (the middle coefficient).

So the two numbers and both multiply to and add to

Now replace the middle term with . Remember, and add to . So this shows us that .

Replace the second term with .

Group the terms into two pairs.

Factor out the GCF from the first group.

Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.

Combine like terms. Or factor out the common term

===============================================================

So factors to .

In other words, .

Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).
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If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

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 Complex_Numbers/561237: square root of -2891 solutions Answer 364213 by jim_thompson5910(28595)   on 2012-01-23 14:50:18 (Show Source): You can put this solution on YOUR website! So ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 percentage/561215: 16% of 121 is what number?1 solutions Answer 364211 by jim_thompson5910(28595)   on 2012-01-23 14:13:13 (Show Source): You can put this solution on YOUR website!0.16*121 = 19.36 So the answer is 19.36 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Expressions-with-variables/561213: Please help me solve p=2m+8v. I have this so far but not sure if it is correct p-2m-8v=0. I have to turn this in by 3:00 and it is only two questions on the assignment. HELP, please.1 solutions Answer 364210 by jim_thompson5910(28595)   on 2012-01-23 14:01:40 (Show Source): You can put this solution on YOUR website!If you're solving for m, then... ------------------------------------------------------- If you're solving for v, then... ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Linear-equations/561208: A line has a slope of 3 and contains the point 4,61 solutions Answer 364209 by jim_thompson5910(28595)   on 2012-01-23 13:58:08 (Show Source): You can put this solution on YOUR website! So the equation of the line is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 test/561211: Slope = 0.5, y-intercept = 3.51 solutions Answer 364208 by jim_thompson5910(28595)   on 2012-01-23 13:57:35 (Show Source): You can put this solution on YOUR website!y = mx+b y = 0.5x+3.5 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Angles/561210: How do I find x? What I did was: 5x + 2x + (x + 20) = 180 7x + (x + 20) = 180 8x + 140 = 180 8x = 40 x = 5 I know that it's wrong because the answer is 20°. I just don't know what I am doing wrong. ***********| ***********| x + 20° ***********|***/ ***********|**/ *******5x**|*/*2x ___________|/__________ Sorry about the weird looking text but that is what the angle looks like.1 solutions Answer 364207 by jim_thompson5910(28595)   on 2012-01-23 13:56:50 (Show Source): You can put this solution on YOUR website!The line in red is where you made your mistake 5x + 2x + (x + 20) = 180 7x + (x + 20) = 180 8x + 140 = 180 8x = 40 x = 5 It should be 8x+20=180 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Equations/561168: How do I solve 4(4x-2)=x+4 I need a solution that's easy for me to understand1 solutions Answer 364185 by jim_thompson5910(28595)   on 2012-01-23 12:10:35 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. 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 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Numeric_Fractions/561139: Evaluate the function f(x)=5x + 6 for x=41 solutions Answer 364182 by jim_thompson5910(28595)   on 2012-01-23 11:54:53 (Show Source): You can put this solution on YOUR website!f(x)=5x + 6 f(4)=5(4) + 6 f(4)=20 + 6 f(4)=26 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Quadratic_Equations/561072: x^2+12x+4=0 Solve for X1 solutions Answer 364142 by jim_thompson5910(28595)   on 2012-01-22 23:44:54 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) Break up the fraction. Reduce. or Break up the expression. So the solutions are or ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Numeric_Fractions/561069: Three more than five times a number.1 solutions Answer 364141 by jim_thompson5910(28595)   on 2012-01-22 23:36:27 (Show Source): You can put this solution on YOUR website!"Three more than five times a number" translates to where 'n' is the unknown number.
 Exponents/561035: (-4.2)^2 I get 17.64, but the book says the correct answer is 16.811 solutions Answer 364130 by jim_thompson5910(28595)   on 2012-01-22 22:38:17 (Show Source): You can put this solution on YOUR website!You are correct. I can tell right off the bat that you are correct (or at least more correct) since the units digit is correct. The answer choice's units digit is way off.
 Inequalities/561024: why ax<4 is not the same as x<4/a1 solutions Answer 364129 by jim_thompson5910(28595)   on 2012-01-22 22:36:28 (Show Source): You can put this solution on YOUR website!ax<4 is only the same as x<4/a only if a > 0. If a < 0, then ax<4 is NOT the same as x<4/a it's actually the same as x>4/a.
 Graphs/560846: 19+3x+13+x1 solutions Answer 364060 by jim_thompson5910(28595)   on 2012-01-22 18:11:43 (Show Source): You can put this solution on YOUR website!19+3x+13+x (3x+x)+(19+13) 4x+32 So 19+3x+13+x = 4x+32 for all values of x ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Graphs/560835: What is the slope for these numbers (19,-16)(-7,-15)1 solutions Answer 364059 by jim_thompson5910(28595)   on 2012-01-22 17:57:07 (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 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Graphs/560837: What is the slope for these numbers (-4,7)(-6,-4)1 solutions Answer 364058 by jim_thompson5910(28595)   on 2012-01-22 17:56:21 (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 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Quadratic_Equations/560838: Create a quadratic equation with these two solutions: x=4 and x=61 solutions Answer 364057 by jim_thompson5910(28595)   on 2012-01-22 17:55:51 (Show Source): You can put this solution on YOUR website! or Start with the given solutions. or Get everything to one side so that only 0 remains on the right side (for both equations). Use the zero product property to combine the equations. FOIL out the left side. So the answer is To check your work, simply solve for x. Doing so will show you that the solutions are or , which confirm the answer. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Linear-systems/560829: Find the equation of the line in slope-intercept form that passes through (-3,5), with slope -2/5. Help!1 solutions Answer 364056 by jim_thompson5910(28595)   on 2012-01-22 17:47:08 (Show Source): You can put this solution on YOUR website! So the equation of the line is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Money_Word_Problems/560816: If money is invested for a short period of time, simple interest is paid using the following formula. I = Prt P represents the money invested, or principal amount, r is the simple interest rate, and t represents the time, in years, the money is invested. Given P = $1,000, t = 9 years, and I =$270, what is the simple interest rate?1 solutions Answer 364055 by jim_thompson5910(28595)   on 2012-01-22 17:30:37 (Show Source): You can put this solution on YOUR website!I = Prt 270 = 1000*r*9 270 = 1000*9r 270 = 9000r 270/9000 = r 0.03 = r r = 0.03 So the simple interest rate is 3% ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Inequalities/560812: Solve the inequalities. 1-x=>8x+46 8<=2 - y Thanks for the help.1 solutions Answer 364052 by jim_thompson5910(28595)   on 2012-01-22 17:17:08 (Show Source): You can put this solution on YOUR website!# 1 Start with the given inequality. 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 . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is ======================================================= # 2 Start with the given inequality. Subtract from both sides. Add to both sides. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Numeric_Fractions/560811: what is the answer to t=12 divided by 7/4ths ? 1 solutions Answer 364049 by jim_thompson5910(28595)   on 2012-01-22 17:14:09 (Show Source): You can put this solution on YOUR website!t = 12/(7/4) = 12*(4/7) = 48/7 So t = 48/7 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Graphs/560806: how do I find the slope and y intercept of y=-1/7x-7/81 solutions Answer 364046 by jim_thompson5910(28595)   on 2012-01-22 17:07:58 (Show Source): You can put this solution on YOUR website!The equation is in y = mx+b form where m = -1/7 and b = -7/8 So this means that the slope is -1/7 and the y-intercept is (0, -7/8) ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Numeric_Fractions/560804: x/4+7/4=5/61 solutions Answer 364044 by jim_thompson5910(28595)   on 2012-01-22 17:00:56 (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. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Polynomials-and-rational-expressions/560802: how do you simplify 42xy/49x?1 solutions Answer 364043 by jim_thompson5910(28595)   on 2012-01-22 17:00:34 (Show Source): You can put this solution on YOUR website!42/49 = (6*7)/(7*7) = 6/7 (xy)/x = y So 42xy/49x = (6y)/x ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------