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 Functions/560797: Evaluate f(x)=2x^2 -5x. If: f(-2)1 solutions Answer 364041 by jim_thompson5910(28504)   on 2012-01-22 16:57:15 (Show Source): You can put this solution on YOUR website!f(x)=2x^2 -5x f(-2)=2(-2)^2 -5(-2) f(-2)=2(4) -5(-2) f(-2)=8+10 f(-2)=18 ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Exponents/560792: 1 solutions Answer 364038 by jim_thompson5910(28504)   on 2012-01-22 16:42:19 (Show Source): You can put this solution on YOUR website!Missing problem, please repost. Thanks
 Functions/560783: I'm having trouble writing the domain as a interval notation, but here is the question: The domain of the function is f(x) = -12x+17 / (x^2)-7x+10. Write the answer in interval notation. I got that x=2 and x=5, so therefore the domain cannot be 2 or 5. So, the interval notation is (-infinity, 2)U(5,infinity). Is this correct?1 solutions Answer 364037 by jim_thompson5910(28504)   on 2012-01-22 16:41:52 (Show Source): You can put this solution on YOUR website!It's actually (-infinity, 2)U(2,5)U(5,infinity), so you were very close. ------------------------------------------------------------------------------------------------- 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/560785: How do you solve -3x+y=7 5x+2y=31 solutions Answer 364036 by jim_thompson5910(28504)   on 2012-01-22 16:40:31 (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 -2. 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. Add to 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) ------------------------------------------------------------------------------------------------- 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/560768: Hey! I'm having some problems with algebra 2 Dividing Algebraic Fractions. I have until next Monday to get it all complete. I can give my password and screen name so that you can see the questions.1 solutions Answer 364035 by jim_thompson5910(28504)   on 2012-01-22 16:05:21 (Show Source): You can put this solution on YOUR website!Why not take screen shots of the problems and post them here. That should work as well. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Thank you Jim -------------------------------------------------------------------------------------------------
 Mixture_Word_Problems/560767: how much pure acid is in 500 mililiters of a 14% acid solution ?1 solutions Answer 364034 by jim_thompson5910(28504)   on 2012-01-22 16:03:15 (Show Source): You can put this solution on YOUR website!There are 500*0.14 = 70 mL of pure acid ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Permutations/560738: Please help solve. A student downloaded 7 music files, how many different orders can the songs be played? Thank you for your help1 solutions Answer 364029 by jim_thompson5910(28504)   on 2012-01-22 15:08:25 (Show Source): You can put this solution on YOUR website!7! = 7*6*5*4*3*2*1 = 5040 different ways ------------------------------------------------------------------------------------------------- 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/560721: what is y=3/4*1+41 solutions Answer 364020 by jim_thompson5910(28504)   on 2012-01-22 14:40:39 (Show Source): You can put this solution on YOUR website!y=3/4*1+4 y=3/4+4 y=3/4+16/4 y=(3+16)/4 y = 19/4 ------------------------------------------------------------------------------------------------- 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/560718: 1 solutions Answer 364017 by jim_thompson5910(28504)   on 2012-01-22 14:33:13 (Show Source): You can put this solution on YOUR website!missing problem
 Inequalities/560715: Please help me with the following question: determine the value of r so that the line that passes through the points (-9, 1) and (r, -5) has slope -1 I've tried this: m= (-5-1)/(r-3)=-1 And got the answer of 3 and then checked it and found it as wrong. If you can help it would be much appreciated!!1 solutions Answer 364016 by jim_thompson5910(28504)   on 2012-01-22 14:31:52 (Show Source): You can put this solution on YOUR website!It should be (-5-1)/(r-(-9))=-1, try it again and let me know what you get.
Polynomials-and-rational-expressions/560713: x^2 + 6x - 7 i am suppose to factor for x using area and i am lost.
1 solutions

Answer 364015 by jim_thompson5910(28504)   on 2012-01-22 14:29:58 (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 :
1,7
-1,-7

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

These factors pair up and multiply to .
1*(-7) = -7
(-1)*(7) = -7

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

First NumberSecond NumberSum
1-71+(-7)=-6
-17-1+7=6

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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 Inequalities/560710: Find the slope of a line parallel to the line through the points (-3, -10) and (-9, 2) If you can help it would be much appreciated!!! I'm extremely confused1 solutions Answer 364014 by jim_thompson5910(28504)   on 2012-01-22 14:18:57 (Show Source): You can put this solution on YOUR website!Anything parallel to this line will have the same slope. So all we need to do is find the slope of the line that goes through these points. 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 So therefore, any parallel line will also have a slope of -2. ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Geometry_Word_Problems/560705: The ratio of male students to female students in the drama club at Campbell High School is 3:4. If the number of male students in the club is 18,predict the number of female students?1 solutions Answer 364013 by jim_thompson5910(28504)   on 2012-01-22 14:10:15 (Show Source): You can put this solution on YOUR website!3/4 = 18/x 3x = 4*18 3x = 72 x = 72/3 x = 24 So there are 24 female students. ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Travel_Word_Problems/560698: A hiker walks 2 miles in 45 minutes whats the average speed? 1 solutions Answer 364012 by jim_thompson5910(28504)   on 2012-01-22 14:05:34 (Show Source): You can put this solution on YOUR website!d = rt 2 = r(45) 2/45 = r r = 0.0444 So the average speed is 0.0444 miles per minute. Multiply by 60 to get 2.664 miles per hour. ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Travel_Word_Problems/560697: Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the way home they took the same route but averaged 70 miles per hour. What was the distance between home and the retreat if the round trip took 10 hours?1 solutions Answer 364011 by jim_thompson5910(28504)   on 2012-01-22 14:00:18 (Show Source): You can put this solution on YOUR website!d = rt d = 50t1 t1 = d/50 ---------------- d = rt d = 70t2 t2 = d/70 --------------- t1 + t2 = 10 d/50 + d/70 = 10 7d + 5d = 3500 12d = 3500 d = 3500/12 d = 291.667 So the distance is roughly 291.667 miles ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Geometry_Word_Problems/560690: In A Schedule of 6 Classes, Marta has 2 Elective Classes. What is the ratio of elective to non-elective classes in Martas Schedule1 solutions Answer 364010 by jim_thompson5910(28504)   on 2012-01-22 13:47:33 (Show Source): You can put this solution on YOUR website!Ratio is 2:4 which reduces to 1:2
 Triangles/560689: V = 49°, W = 56°, X = 65° If VWX is a triangle, which side of the triangle is the shortest?1 solutions Answer 364009 by jim_thompson5910(28504)   on 2012-01-22 13:46:30 (Show Source): You can put this solution on YOUR website!The shortest side is opposite the smallest angle. So because the smallest angle is V = 49 degrees, this means that the shortest side is WX ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Age_Word_Problems/560687: In three years, Chad will be three times my present age. I will then be half as old as he. How old am i? I do not understand how to set up this problem so that i can get the answer. Can you help?1 solutions Answer 364008 by jim_thompson5910(28504)   on 2012-01-22 13:44:48 (Show Source): You can put this solution on YOUR website!Let x = your age and c = chad's age (both current ages) So if "In three years, Chad will be three times my present age", then . Solve for c to get "I will then be half as old as he" means that ------------------------------- So you are currently 6 years old and Chad is currently 15 years old. ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Exponential-and-logarithmic-functions/560686: Hello, I have this problem with exponents, I know the answer but I don't know how to write this step by step: 8*3^100+3^100 Thank You !1 solutions Answer 364007 by jim_thompson5910(28504)   on 2012-01-22 13:38:23 (Show Source): You can put this solution on YOUR website!8*3^100+3^100 (8+1)3^100 9*3^100 So 8*3^100+3^100 = 9*3^100 ------------------------------------------------------------------------------------------------- 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_Algebra/560685: y/7=(y-5)/2 This kind of problem is difficult for me. Can someone take me step by step?1 solutions Answer 364006 by jim_thompson5910(28504)   on 2012-01-22 13:36:52 (Show Source): You can put this solution on YOUR website!y/7=(y-5)/2 2y=7(y-5) 2y=7y-35 2y-7y=-35 -5y=-35 y=(-35)/(-5) y=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 -------------------------------------------------------------------------------------------------
 Linear-equations/560683: find the slope of the line containing the given pair of points. if the line is undefind,state so. please be sure to show all of your work. (-4,3)and (3,3)1 solutions Answer 364005 by jim_thompson5910(28504)   on 2012-01-22 13:33:35 (Show Source): You can put this solution on YOUR website!m = (y2-y1)/(x2-x1) m = (3-3)/(3-(-4)) m = (3-3)/(3+4) m = 0/7 m = 0 So the slope of the line that passes through the two points is 0 ------------------------------------------------------------------------------------------------- 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/560682: if the slope of a line is 13000, and the given x coordinate is 16, what is the y coordinate?1 solutions Answer 364004 by jim_thompson5910(28504)   on 2012-01-22 13:32:42 (Show Source): You can put this solution on YOUR website!You would also need to know the y-intercept to find the corresponding y coordinate.
 Geometry_proofs/560680: given: AB is parallel to CB, AB is parallel to CD prove:angle 1 is congruent to angle 21 solutions Answer 364003 by jim_thompson5910(28504)   on 2012-01-22 13:17:56 (Show Source): You can put this solution on YOUR website!Do you have a picture that goes along with this? I have no idea where/how angle 1 or angle 2 fits in.
 Proportions/560548: On a map, 1 inch equals 13.3 miles. Of two cities are 4.5 inches apart on the map, how far are they acutally apart1 solutions Answer 364002 by jim_thompson5910(28504)   on 2012-01-22 13:15:44 (Show Source): You can put this solution on YOUR website!1/13.3 = 4.5/x x = 13.3*4.5 x = 59.85 So the two cities are 59.85 miles apart. ------------------------------------------------------------------------------------------------- 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/560679: given the linear equation y=-3x-2 find the y- coordinates of the points (0)(-3)(-1) please show all of your work. plot these points and graph the liner equation1 solutions Answer 364001 by jim_thompson5910(28504)   on 2012-01-22 13:14:18 (Show Source): You can put this solution on YOUR website!For (0, ?), x = 0. So y=-3x-2 becomes y = -3(0)-2 = -2 So when x = 0, y = -2 and the point is (0, -2) Do the same for the rest and plot them to graph this line. ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Word_Problems_With_Coins/560678: Your piggy bank contains \$19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there? A. 25 B. 30 C. 35 D. 40 1 solutions Answer 363999 by jim_thompson5910(28504)   on 2012-01-22 13:09:16 (Show Source): You can put this solution on YOUR website!d+q = 100 ---> q = 100-d 0.1d+0.25q=19.75 10d+25q=1975 10d+25(100-d)=1975 10d+2500-25d=1975 -15d+2500=1975 -15d=1975-2500 -15d=-525 d=(-525)/(-15) d=35 So there are 35 dimes. ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Exponential-and-logarithmic-functions/560650: Rewrite with rational exponents (√5mn)³1 solutions Answer 363998 by jim_thompson5910(28504)   on 2012-01-22 13:04:32 (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 -------------------------------------------------------------------------------------------------
 Functions/560636: Given the function H(z) = 8z+8 find each of the following: H(7)= H(-5)= H(6.9)=1 solutions Answer 363997 by jim_thompson5910(28504)   on 2012-01-22 13:01:03 (Show Source): You can put this solution on YOUR website!H(z) = 8z+8 H(7) = 8(7)+8 H(7) = 56+8 H(7) = 64 ------------------------------------------------------- H(z) = 8z+8 H(-5) = 8(-5)+8 H(-5) = -40+8 H(-5) = -32 ------------------------------------------------------- H(z) = 8z+8 H(6.9) = 8(6.9)+8 H(6.9) = 55.2+8 H(6.9) = 63.2 ------------------------------------------------------------------------------------------------- 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 -------------------------------------------------------------------------------------------------
 Travel_Word_Problems/560643: A boat with a speed of 7km/hr.How long will it take to go 35km?1 solutions Answer 363984 by jim_thompson5910(28504)   on 2012-01-22 11:35:33 (Show Source): You can put this solution on YOUR website!d = rt 35 = 7t 35/7 = t 5 = t t = 5 So it will take 5 hours. ------------------------------------------------------------------------------------------------- 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/560583: Write a quadratic equation for the solutions x=9 and x=27 Write a quadratic equation for the solutions x=4 and x=16 Thank You1 solutions Answer 363967 by jim_thompson5910(28504)   on 2012-01-22 03:24:07 (Show Source): You can put this solution on YOUR website!I'll do the first one to get you started 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.