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 Graphs/132771: sketching this graph of P(x)=X5(X+2)3 (X-3)4 (X-5)3 the numbers after the X and outside the parenthesis are the small numbers i.e x square but I have no idea how to do this little numbers on my computer1 solutions Answer 97015 by jim_thompson5910(28536)   on 2008-03-19 12:42:17 (Show Source): You can put this solution on YOUR website!Doe your equation look like this: If it does, then the graph looks like this:
 Equations/132770: Please explain how you would solve this equation: 20b^2+33b-4=-141 solutions Answer 97012 by jim_thompson5910(28536)   on 2008-03-19 12:32:44 (Show Source): You can put this solution on YOUR website! Start with the given equation Add 14 to both sides. Combine like terms Factor the left side (note: if you need help with factoring, check out this solver) Now set each factor equal to zero: or or Now solve for b in each case So our solutions are or
Equations/132769: Please explain how you would solve this equation:
150x^2+120x+24
1 solutions

Answer 97011 by jim_thompson5910(28536)   on 2008-03-19 12:31:05 (Show Source):
You can put this solution on YOUR website!
You cannot solve this since it is not an equation. But you can factor

Factor out the GCF

Now let's focus on the inner expression

------------------------------------------------------------

Looking at we can see that the first term is and the last term is where the coefficients are 25 and 4 respectively.

Now multiply the first coefficient 25 and the last coefficient 4 to get 100. Now what two numbers multiply to 100 and add to the middle coefficient 20? Let's list all of the factors of 100:

Factors of 100:
1,2,4,5,10,20,25,50

-1,-2,-4,-5,-10,-20,-25,-50 ...List the negative factors as well. This will allow us to find all possible combinations

These factors pair up and multiply to 100
1*100
2*50
4*25
5*20
10*10
(-1)*(-100)
(-2)*(-50)
(-4)*(-25)
(-5)*(-20)
(-10)*(-10)

note: remember two negative numbers multiplied together make a positive number

Now which of these pairs add to 20? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to 20

First NumberSecond NumberSum
11001+100=101
2502+50=52
4254+25=29
5205+20=25
101010+10=20
-1-100-1+(-100)=-101
-2-50-2+(-50)=-52
-4-25-4+(-25)=-29
-5-20-5+(-20)=-25
-10-10-10+(-10)=-20

From this list we can see that 10 and 10 add up to 20 and multiply to 100

Now looking at the expression , replace with (notice adds up to . So it is equivalent to )

Now let's factor by grouping:

Group like terms

Factor out the GCF of out of the first group. Factor out the GCF of out of the second group

Since we have a common term of , we can combine like terms

So factors to

So this also means that factors to (since is equivalent to )

note: is equivalent to since the term occurs twice. So also factors to

------------------------------------------------------------

So our expression goes from and factors further to

------------------

So factors to

 Square-cubic-other-roots/132680: Rationalize the denominator: 2____ √[3] + √[2] 1 solutions Answer 96998 by jim_thompson5910(28536)   on 2008-03-18 23:13:56 (Show Source): You can put this solution on YOUR website! Start with the given expression Multiply by the fraction by . Note is the conjugate of . Combine the fractions Foil the denominator Cancel like terms Multiply Combine like terms Divide and simplify Distribute So simplifies to In other words,
 Square-cubic-other-roots/132660: i have to simplify this 1/8(3x+1)^(3/2) + 1/4(3x+1)^(1/2) ^ means to the power of if you didnt know1 solutions Answer 96945 by jim_thompson5910(28536)   on 2008-03-18 18:36:00 (Show Source): You can put this solution on YOUR website! Start with the given expression Rewrite as Rewrite the first expression using the identity Now rewrite as Let Plug in Factor out the GCF Now substitute back in for u Square to get Distribute Combine like terms Rearrange the terms Distribute Rearrange the terms
 logarithm/132653: i know you have to first get the same bases but how?1 solutions Answer 96940 by jim_thompson5910(28536)   on 2008-03-18 18:05:56 (Show Source): You can put this solution on YOUR website! Start with the given equation Rewrite 8 as . Notice how the two sides have the same base. Since the bases are equal, this means that the exponents are equal. Set the exponents equal to one another Subtract 1 from both sides Combine like terms on the right side -------------------------------------------------------------- Answer: So our answer is
 Equations/132650: Solve using principles together. 2x-16=-21 solutions Answer 96939 by jim_thompson5910(28536)   on 2008-03-18 18:02:49 (Show Source): You can put this solution on YOUR website! Start with the given equation Add 16 to both sides Combine like terms on the right side Divide both sides by 2 to isolate x Divide -------------------------------------------------------------- Answer: So our answer is
 Quadratic_Equations/132651: Given f(x)=3^x, which statement is true? a) f(x+y)=f(x)+(y) b) f(x+y)=f(x)f(y) c) f(xy)=f(x)+f(y) d) f(x/y)=f(x-y)1 solutions Answer 96938 by jim_thompson5910(28536)   on 2008-03-18 18:02:09 (Show Source): You can put this solution on YOUR website!Remember if you have something like it decomposes to . So this shows us that b) is the solution since So the statement b) f(x+y)=f(x)f(y) is a true statement
 Quadratic_Equations/132645: Two lines have slopes 2k-4 and k+6. What value(s) of k will produce perpendicular lines? I think the answer is k=-4+or- sqrt66/2????????1 solutions Answer 96937 by jim_thompson5910(28536)   on 2008-03-18 17:58:52 (Show Source): You can put this solution on YOUR website!Their slopes will be perpendicular when their product is -1. So we have the equation Foil Add 1 to both sides Let's use the quadratic formula to solve for k: Starting with the general quadratic the general solution using the quadratic equation is: So lets solve ( notice , , and ) Plug in a=2, b=8, and c=-23 Square 8 to get 64 Multiply to get Combine like terms in the radicand (everything under the square root) Simplify the square root (note: If you need help with simplifying the square root, check out this solver) Multiply 2 and 2 to get 4 So now the expression breaks down into two parts or Now break up the fraction or Simplify or So these expressions approximate to or So our solutions are: or
 Quadratic_Equations/132648: Collect like terms. 17y-y= 1 solutions Answer 96935 by jim_thompson5910(28536)   on 2008-03-18 17:52:13 (Show Source): You can put this solution on YOUR website! Start with the given expression Group like terms Combine like terms
 Equations/132644: x/5=5 Is the answer 28?1 solutions Answer 96934 by jim_thompson5910(28536)   on 2008-03-18 17:51:48 (Show Source): You can put this solution on YOUR website! Start with the given equation Multiply both sides by 5. Multiply -------------------------------------------------------------- Answer: So our answer is
 Equations/132647: b=5+a, for a Can someone help me please??1 solutions Answer 96931 by jim_thompson5910(28536)   on 2008-03-18 17:50:12 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract 5 from both sides Rearrange the equation
 Quadratic_Equations/132637: 9x-8=5x Can someone help me with this.1 solutions Answer 96930 by jim_thompson5910(28536)   on 2008-03-18 17:49:02 (Show Source): You can put this solution on YOUR website! Start with the given equation Add 8 to both sides Subtract 5x from both sides Combine like terms on the left side Divide both sides by 4 to isolate x Divide -------------------------------------------------------------- Answer: So our answer is
 Equations/132636: a/b=x-y/y-z solve for y1 solutions Answer 96928 by jim_thompson5910(28536)   on 2008-03-18 17:48:00 (Show Source): You can put this solution on YOUR website! Start with the given equation Cross multiply Distribute Subtract ay from both sides Subtract bx from both sides Factor out the GCF "y" from the right side Divide both sides by Rearrange the equation Factor out -1 from the numerator Factor out -1 from the denominator Cancel out the "-1" terms Simplify
 logarithm/132628: 1 solutions Answer 96924 by jim_thompson5910(28536)   on 2008-03-18 17:38:36 (Show Source): You can put this solution on YOUR website! Start with the given equation Combine the logs using the identity Raise both sides as exponents with bases of 10. This will undo the logs Simplify Multiply both sides by Distribute Subtract 5 from both sides Subtract 5x from both sides Combine like terms on the left side Combine like terms on the right side Divide both sides by -4 to isolate x Reduce -------------------------------------------------------------- Answer: So our answer is (which is approximately in decimal form)
 Quadratic_Equations/132626: simplify -40xz/250xz HELP!1 solutions Answer 96922 by jim_thompson5910(28536)   on 2008-03-18 17:30:33 (Show Source): You can put this solution on YOUR website! Start with the given expression Cancel like terms Simplify Reduce So simplifies to In other words, where and
 Quadratic_Equations/132624: Translate to an algebriac expression. 1 more than d Can someone please help me with this?1 solutions Answer 96921 by jim_thompson5910(28536)   on 2008-03-18 17:27:18 (Show Source): You can put this solution on YOUR website!Algebraically, "more" means that you're adding some amount. So, 1 more than d = d + 1
 Quadratic_Equations/132622: Translate to an algebriac expression. Twice d1 solutions Answer 96920 by jim_thompson5910(28536)   on 2008-03-18 17:25:25 (Show Source): You can put this solution on YOUR website!Twice d = 2 times d = 2*d
 Miscellaneous_Word_Problems/132611: This question is from textbook Algebra Structure and Method I have been struggling with this math problem for awhile now and I was wondering if anyone could help? I would deeply appreciate it!! Please and Thank You!! Transforming Formulas solve. C=K(Rr over R-r);R1 solutions Answer 96913 by jim_thompson5910(28536)   on 2008-03-18 16:38:05 (Show Source): You can put this solution on YOUR website! Start with the given equation Multiply Multiply both sides by Distribute Subtract CR from both sides Factor out the GCF "R" from the right side Divide both sides by Rearrange the equation
 Miscellaneous_Word_Problems/132608: This question is from textbook Algebra Structure and Method I did this math problem and I don't know if I did it right so I was wondering if I could have help and check my answers with one of the tutors? I would deeply appreciate it!! Please and Thank You!! Transforming Formulas Solve. s=a over a-r;r1 solutions Answer 96908 by jim_thompson5910(28536)   on 2008-03-18 16:17:41 (Show Source): You can put this solution on YOUR website! Start with the given equation Multiply both sides by Distribute Add to both sides Subtract "a" from both sides Divide both sides by s to isolate r Rearrange the equation
 Linear-equations/132609: find the midpoint between these two points (1,-6) and (-5, -2)1 solutions Answer 96907 by jim_thompson5910(28536)   on 2008-03-18 16:12:24 (Show Source): You can put this solution on YOUR website!In order to find the midpoint between the points (1,6) and (-5,-2), we need to average each corresponding coordinate. In other words, we need to add up the corresponding coordinates and divide the sum by 2. So lets find the averages between the two points To find , average the x-coordinates between the two points So the x-coordinate of the midpoint is -2 (i.e. x=-2) ----------------------------------------------------------------------------------------------------------------- To find , average the y-coordinates between the two points So the y-coordinate of the midpoint is 2 (i.e. y=2) ----------------------------------------------------------------------------------------------------------------- Answer: Since the coordinates of the midpoint are x=-2, y=2, this means the midpoint is (-2,2) Check: Here is a graph to visually see the answer Graph of the line segment with the endpoints (1,6) and (-5,-2) with the midpoint (-2,2) We could visually verify our answer if we simply draw right triangles from each point like this: Here we can see that the two triangles are congruent (they both have a right angle and equal leg lengths), so our answer is verified.
 Miscellaneous_Word_Problems/132607: This question is from textbook Algebra Structure and Method I have been struggling on this problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!! Transforming Formulas a=180(n-2) over n;n1 solutions Answer 96905 by jim_thompson5910(28536)   on 2008-03-18 16:10:46 (Show Source): You can put this solution on YOUR website!Do you want to solve for n? Start with the given equation Multiply both sides by n Divide both sides by 180 Add 2 to both sides So our answer is
 Inequalities/132605: 3x-15<9+7x1 solutions Answer 96903 by jim_thompson5910(28536)   on 2008-03-18 16:03:54 (Show Source): You can put this solution on YOUR website! Start with the given inequality Add 15 to both sides Subtract 7x from both sides Combine like terms on the left side Combine like terms on the right side Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign) Divide -------------------------------------------------------------- Answer: So our answer is
 Rational-functions/132602: This question is from textbook Algebra II I am trying to solve this problem however I do not even know how to begin to work it out. How do I solve this problem?1 solutions Answer 96902 by jim_thompson5910(28536)   on 2008-03-18 16:02:58 (Show Source): You can put this solution on YOUR website! Start with the given equation Factor to get Notice how the LCD is Multiply both sides by the LCD . Doing this will eliminate every fraction. Distribute and multiply. Notice every denominator has been canceled out. Distribute again Combine like terms Subtract from both sides. Rearrange the terms Factor the left side (note: if you need help with factoring, check out this solver) Now set each factor equal to zero: or or Now solve for x in each case Since we have a repeating answer, our only answer is --------------------------------------------------------------------- Answer: So the solution is
 Linear-equations/132601: This question is from textbook Intermediate Algebra Solve for x. Collect xs on the left side. The solution shold be presented with x firstm the correct ienequality symbol, and the the number. -7x+2+x-10=-3(x-1) 1 solutions Answer 96901 by jim_thompson5910(28536)   on 2008-03-18 15:55:40 (Show Source): You can put this solution on YOUR website! Start with the given equation Distribute Combine like terms on the left side Add 8 to both sides Add 3x to both sides Combine like terms on the left side Combine like terms on the right side Divide both sides by -3 to isolate x Reduce -------------------------------------------------------------- Answer: So our answer is (which is approximately in decimal form)
 Inequalities/132563: Solve for the inequality. -2/11<-4/11x Optional answers - (11, infinity) (1/2,infinity) (-infinity, 1/2) (1/2, infinity) (-infinity, 2) Thank-you1 solutions Answer 96880 by jim_thompson5910(28536)   on 2008-03-18 12:23:18 (Show Source): You can put this solution on YOUR website! Start with the given inequality Multiply both sides by 11. Multiply and simplify Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign) Reduce Rearrange the inequality -------------------------------------------------------------- Answer: So our answer is (which is approximately in decimal form) So the answer in interval notation is
 Square-cubic-other-roots/132520: Can you please help me this problem! The directions are the solve it using the square root method: x^2=16 I don't know! Please help! =]1 solutions Answer 96865 by jim_thompson5910(28536)   on 2008-03-18 00:19:50 (Show Source): You can put this solution on YOUR website! Start with the given equation Take the square root of both sides Take the square root of 16 to get 4 Break the solution into two parts  or  ----------------------------------- Answer: So our solution is  or 
 Linear-systems/132508: This question is from textbook algebra 1 what is 4x-y-7=0 written in standard form with interger co efficients 1 solutions Answer 96848 by jim_thompson5910(28536)   on 2008-03-17 20:46:49 (Show Source): You can put this solution on YOUR website! Start with the given equation Add 7 to both sides Since the equation resembles the general equation , the equation is now in standard form.
 Linear-systems/132507: This question is from textbook algebra 1 i dont understand 1 solutions Answer 96847 by jim_thompson5910(28536)   on 2008-03-17 20:44:52 (Show Source): You can put this solution on YOUR website!You need to post the problem since most of us do not have your book
 Equations/132506: x+x+x+2+1=111 solutions Answer 96846 by jim_thompson5910(28536)   on 2008-03-17 20:44:23 (Show Source): You can put this solution on YOUR website! Start with the given equation Combine like terms on the left side Subtract 3 from both sides Combine like terms on the right side Divide both sides by 3 to isolate x -------------------------------------------------------------- Answer: So our answer is (which is approximately in decimal form)