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# Recent problems solved by 'Mathtut'

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 Polynomials-and-rational-expressions/191284: Factor completely, use grouping. 12y^2-27y+151 solutions Answer 143565 by Mathtut(3670)   on 2009-04-15 15:02:14 (Show Source): You can put this solution on YOUR website! : :
 Polynomials-and-rational-expressions/191276: Says to factor by grouping? 40a^4-120a^2+901 solutions Answer 143564 by Mathtut(3670)   on 2009-04-15 14:59:23 (Show Source): You can put this solution on YOUR website! : :
 Exponential-and-logarithmic-functions/191278: how do you solve this type of problemss1 solutions Answer 143561 by Mathtut(3670)   on 2009-04-15 14:51:49 (Show Source): You can put this solution on YOUR website!where is the problem????
 Polynomials-and-rational-expressions/191280: Factor the trinomial by grouping 12y^2-33y+211 solutions Answer 143559 by Mathtut(3670)   on 2009-04-15 14:51:12 (Show Source): You can put this solution on YOUR website! : :
 Polynomials-and-rational-expressions/191282: Factor the polynomial by grouping 9x^2+90xy+225y^2 9*(x^2+10*x*y+25*y) 9*(x+5y)^21 solutions Answer 143558 by Mathtut(3670)   on 2009-04-15 14:49:03 (Show Source): You can put this solution on YOUR website! : :
 Polynomials-and-rational-expressions/191257: Find the product. (r+7)(r-7)1 solutions Answer 143555 by Mathtut(3670)   on 2009-04-15 14:14:01 (Show Source):
 Polynomials-and-rational-expressions/191264: factor the polynomial by grouping 20x^2-41x+201 solutions Answer 143554 by Mathtut(3670)   on 2009-04-15 14:12:42 (Show Source): You can put this solution on YOUR website! : :
 Polynomials-and-rational-expressions/191263: Multiply (2x+8y)(2x-8y)1 solutions Answer 143553 by Mathtut(3670)   on 2009-04-15 14:08:44 (Show Source):
 Polynomials-and-rational-expressions/191265: factor the trinomial by grouping 10y^2-28y+181 solutions Answer 143551 by Mathtut(3670)   on 2009-04-15 14:07:23 (Show Source): You can put this solution on YOUR website! : :
 Polynomials-and-rational-expressions/191271: Convert the number to scientific notation. 1,934,000,0001 solutions Answer 143549 by Mathtut(3670)   on 2009-04-15 14:00:04 (Show Source): You can put this solution on YOUR website!1.934 x 10^9
 Polynomials-and-rational-expressions/191266: Simplify this expression. (2z)^5(2z)^-21 solutions Answer 143548 by Mathtut(3670)   on 2009-04-15 13:58:20 (Show Source): You can put this solution on YOUR website!remember rules of like bases...just add the exponents together :
 Mixture_Word_Problems/191262: Cheap Charlie is attempting to stretch his 2-liter bottle of antifreeze by diluting it with water (this is a very bad idea.). He read on carstuff.com that the antifreeze companies have made the antifreeze too strong, and all that your car really needs is a 25% antifreeze solution. How many liters of water must he add to the 2 liters of pure antifreeze to make this happen?1 solutions Answer 143547 by Mathtut(3670)   on 2009-04-15 13:53:22 (Show Source): You can put this solution on YOUR website!amount of antifreeze remains constant....you are simply adding water. Lets call the amount of water added y : 2=.25(2+y) : 2=.5+.25y : .25y=1.5 : y=6 liters of water
 Surface-area/191255: This question is from textbook GEOMETRY Seeing, Doing, Understanding I don't understand the whole area thing. Can someone please help? I'd appreciate it. Question. Tell whether you think each of the following statements is true or false. Indicate your reasoning. area of EPHD = area of GBFP.1 solutions Answer 143541 by Mathtut(3670)   on 2009-04-15 12:47:38 (Show Source): You can put this solution on YOUR website!tutors have no access to any problems . We need ALL info to determine the solution.......thanks Mathtut. The info you gave is just for tracking purposes
 Expressions-with-variables/191202: the difference of two numbers is 3 twice the smaller is 6 more than the larger.. find the two numbers1 solutions Answer 143540 by Mathtut(3670)   on 2009-04-15 12:41:05 (Show Source): You can put this solution on YOUR website!let the numbers be a and b : a-b=3.......eq 1 2b=a+6.....eq 2 : rewrite eq 1 to a=3+b and plug it into eq 2 : 2b=b+3+6 : b=9 : a=b+3=9+3=12 :
 Pythagorean-theorem/191243: This is a problem tha was on a quiz. I missed it totally. Can someone please help me? I am not sure where to place a question with sets and subsets? Is it in Algebra II or Geometry? A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows: 75 liked cherry flavor 94 liked orange flavor 22 liked both flavors. Construct a Venn diagram and answer the following: a) How many liked only orange flavor? b) How many liked only cherry flavor? c) How many liked either one or the other or both? d) How many liked neither? 1 solutions Answer 143539 by Mathtut(3670)   on 2009-04-15 12:36:37 (Show Source): You can put this solution on YOUR website!8. A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 120 people. The results are as follows: 62 liked cherry flavor 74 liked orange flavor 35 liked both flavors. Construct a Venn diagram and answer the following: a)How many liked only orange flavor? 39 b)How many liked only cherry flavor? 27 c)How many liked either one or the other or both? 74+62-35
Quadratic_Equations/191250: Find the x values at which the following parabolas cross the x-axis.
a) y= x^2 + 5x + 4
b) y= x^2 + 4x + 5
1 solutions

Answer 143537 by Mathtut(3670)   on 2009-04-15 12:33:15 (Show Source):
You can put this solution on YOUR website!
set y=0
:
a)
:
x=-4 and -1 (-4,0), (-1,0)
:
b)
:
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -4 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -4 is + or - . The solution is , or Here's your graph:

 Polynomials-and-rational-expressions/191216: factor out polynomial. 10a^3b^2-35a^2b+5a^4 thank you1 solutions Answer 143506 by Mathtut(3670)   on 2009-04-15 01:17:47 (Show Source):
 Angles/191219: Two angles are complementary. They measure of the second angle is two degrees more than three times the measure of the first. Find the measures of the angles.1 solutions Answer 143505 by Mathtut(3670)   on 2009-04-15 01:15:41 (Show Source): You can put this solution on YOUR website!let the angles be x and y : y=3x+2.......eq 1 x+y=90.......eq 2 : take y's value of 3x+2 from eq 1 and plug it into eq 2 : x+3x+2=90 : 4x=88 : x=22 : y=3(22)+2=68
 percentage/191198: Hello, I would like help with the following problem,"5% of n = 11" Thank You So Much 1 solutions Answer 143498 by Mathtut(3670)   on 2009-04-15 00:08:23 (Show Source): You can put this solution on YOUR website!5%=.05 : .05n=11 : n=220