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Polynomials-and-rational-expressions/387234: Not understanding please help? Completely factor the expression 27x2y + 180xy2 + 75y3 1 solutions Answer 273712 by jim_thompson5910(28715)   on 2010-12-16 20:58:55 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the GCF . Now let's try to factor the inner expression --------------------------------------------------------------- Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last coefficient is . Now multiply the first coefficient by the last coefficient 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 : 1,3,5,9,15,25,45,75,225 -1,-3,-5,-9,-15,-25,-45,-75,-225 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*225 = 225 3*75 = 225 5*45 = 225 9*25 = 225 15*15 = 225 (-1)*(-225) = 225 (-3)*(-75) = 225 (-5)*(-45) = 225 (-9)*(-25) = 225 (-15)*(-15) = 225 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 225 1+225=226 3 75 3+75=78 5 45 5+45=50 9 25 9+25=34 15 15 15+15=30 -1 -225 -1+(-225)=-226 -3 -75 -3+(-75)=-78 -5 -45 -5+(-45)=-50 -9 -25 -9+(-25)=-34 -15 -15 -15+(-15)=-30 From the table, we can see that there are no pairs of numbers which add to . So cannot be factored. =============================================================== Answer: So simply factors to In other words, . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Geometry_proofs/387192: Write an indirect proof for, Given: n squared is even Prove: n squared is divisible by 4 1 solutions Answer 273693 by jim_thompson5910(28715)   on 2010-12-16 20:32:41 (Show Source): You can put this solution on YOUR website! The idea is that if is even, then is even (you can prove this by contraposition). So for some integer k. So . So because , this means that is a multiple of 4.

Rational-functions/387205: algebra 2: i found the "hole" using a given function, and graphed it. r graphs w/ holes always linear? 1 solutions Answer 273691 by jim_thompson5910(28715)   on 2010-12-16 20:30:25 (Show Source): You can put this solution on YOUR website! No, it's perfectly possible for a non-linear equation to have a hole in it. Ex: has a hole at and it's non-linear.

Polynomials-and-rational-expressions/387220: In class we are trying to factor special products; trinomials to be specific. We need to get it in perfect square trinomial pattern. Here's the question: 9t^2-12t+4 Thanks 1 solutions Answer 273690 by jim_thompson5910(28715)   on 2010-12-16 20:27:08 (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 : 1,2,3,4,6,9,12,18,36 -1,-2,-3,-4,-6,-9,-12,-18,-36 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*36 = 36 2*18 = 36 3*12 = 36 4*9 = 36 6*6 = 36 (-1)*(-36) = 36 (-2)*(-18) = 36 (-3)*(-12) = 36 (-4)*(-9) = 36 (-6)*(-6) = 36 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 36 1+36=37 2 18 2+18=20 3 12 3+12=15 4 9 4+9=13 6 6 6+6=12 -1 -36 -1+(-36)=-37 -2 -18 -2+(-18)=-20 -3 -12 -3+(-12)=-15 -4 -9 -4+(-9)=-13 -6 -6 -6+(-6)=-12 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 Condense the terms. =============================================================== Answer: 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). If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Numbers_Word_Problems/387218: It is a 2-digit number Its digits add up to 13. It has more tens than ones. There are three answers that fit these clues. 1 solutions Answer 273689 by jim_thompson5910(28715)   on 2010-12-16 20:25:53 (Show Source): You can put this solution on YOUR website! Hints: "It is a 2-digit number" means that that number is in the form where 'a' is the tens digit and 'b' is the units digit. "Its digits add up to 13." means that "It has more tens than ones. " means that

Quadratic_Equations/387207: I came across a word problem type of quadratic equation that I am having a hint of trouble understanding. problem: every root of x^2-5x-6=0 is one greater than a root of x^2+px+q=0. What does p equal? What I did was, I found the factors of x^2-5x-6=0 I received x = -1, 6 as the factors. But what does it mean by root and greater? I am confused after this part of the question. WOuld the answer be 0, 7? 1 solutions Answer 273687 by jim_thompson5910(28715)   on 2010-12-16 20:23:41 (Show Source): You can put this solution on YOUR website! 0,7 are the roots of x^2+px+q=0 You now have to use that idea to construct a quadratic Hint: If 'a' and 'b' are roots of a polynomial, then

Miscellaneous_Word_Problems/387141: Could someone help me solve this problem using quadratic formula step by step. I am lost and do not understand. x^2+4x+3=0 Thank you 1 solutions Answer 273658 by jim_thompson5910(28715)   on 2010-12-16 17:41:52 (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 . Take the square root of to get . or Break up the expression. or Combine like terms. or Simplify. So the solutions are or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Equations/387109: what is the factored form of 4k^3-13k^2-12k 1 solutions Answer 273633 by jim_thompson5910(28715)   on 2010-12-16 16:18:34 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the GCF . Now let's try to factor the inner expression --------------------------------------------------------------- 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 : 1,2,3,4,6,8,12,16,24,48 -1,-2,-3,-4,-6,-8,-12,-16,-24,-48 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-48) = -48 2*(-24) = -48 3*(-16) = -48 4*(-12) = -48 6*(-8) = -48 (-1)*(48) = -48 (-2)*(24) = -48 (-3)*(16) = -48 (-4)*(12) = -48 (-6)*(8) = -48 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 -48 1+(-48)=-47 2 -24 2+(-24)=-22 3 -16 3+(-16)=-13 4 -12 4+(-12)=-8 6 -8 6+(-8)=-2 -1 48 -1+48=47 -2 24 -2+24=22 -3 16 -3+16=13 -4 12 -4+12=8 -6 8 -6+8=2 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 then factors further to =============================================================== Answer: So completely 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). If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Proofs/387106: (X->Y)->Z, W->(X->Y) therefore W->Z Can I just say hyp syllogism where (x->y)is one thing? 1 solutions Answer 273632 by jim_thompson5910(28715)   on 2010-12-16 16:17:33 (Show Source): You can put this solution on YOUR website! Yes, you would use a hypothetical syllogism to combine the two expressions. Remember, the Hypothetical Syllogism (H.S.) is p -> q q -> r :. p -> r In this case, p is W, q is (X->Y), and r is Z.

Probability-and-statistics/386775: A weighted coin is tossed four times. The probability for the number of heads observed is given below. #Heads Probability 0 .4096 1 .4096 2 .1536 3 .0256 4 .0016 What is the probability pf getting AT LEAST one head? 1 solutions Answer 273364 by jim_thompson5910(28715)   on 2010-12-15 19:26:58 (Show Source): You can put this solution on YOUR website! "at least one head" means "1 OR more heads" So all you have to do is add up all the probabilities of getting 1, 2, 3, or 4 heads to find your answer.

Permutations/386769: If nPr = 120, and nCr=20, then determine the value of 7Pr. 1 solutions Answer 273363 by jim_thompson5910(28715)   on 2010-12-15 19:25:19 (Show Source): You can put this solution on YOUR website! Hint: Use the idea that n P r = r! * (n C r)

Evaluation_Word_Problems/386708: i took 7 tests. my median score is 90. the range of scores is 18. what are the 7 test scores? 1 solutions Answer 273340 by jim_thompson5910(28715)   on 2010-12-15 18:19:42 (Show Source): You can put this solution on YOUR website! You would need more information. All you can really find out are the highest and lowest possible scores. Lowest Score = Median - (range/2) = 90 - 18/2 = 90 - 9 = 81 So the lowest possible score is 81 Highest Score = Median + (range/2) = 90 + 18/2 = 90 + 9 = 99 So the highest possible score is 99

Equations/385789: 5x+1=6 1 solutions Answer 272877 by jim_thompson5910(28715)   on 2010-12-13 20:56:50 (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 If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Linear-equations/385761: Write the slope-intercept equation for the line that passes through (2, -7) and (4, -13). Please show all of your work 1 solutions Answer 272868 by jim_thompson5910(28715)   on 2010-12-13 20:36:44 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and 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 Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Distribute Multiply Subtract 7 from both sides. Combine like terms. So the equation that goes through the points and is Notice how the graph of goes through the points and . So this visually verifies our answer. Graph of through the points and If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Polynomials-and-rational-expressions/385283: Please help factor by grouping: p^2 - q^2 + r^2 - 2pr This is straight from book. Thanks for showing steps. 1 solutions Answer 272604 by jim_thompson5910(28715)   on 2010-12-13 00:35:27 (Show Source): You can put this solution on YOUR website! Start with the given expression. Rearrange the terms. Factor to get Now use the difference of squares formula to factor. So factors to In other words,

Equations/385286: 3(x-6)+8= 5(x+2)-12 1 solutions Answer 272592 by jim_thompson5910(28715)   on 2010-12-13 00:06:30 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. 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 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, feel free to check out my tutoring website Jim

Equations/385277: I need help solving this 5x-3=11+12x 1 solutions Answer 272585 by jim_thompson5910(28715)   on 2010-12-12 23:40:18 (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 If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Polynomials-and-rational-expressions/385275: Use the “difference of squares” rule to factor the following expression: 36x^2-9y^2 1 solutions Answer 272584 by jim_thompson5910(28715)   on 2010-12-12 23:28:30 (Show Source): You can put this solution on YOUR website! Start with the given expression. Rewrite as . Rewrite as . Notice how we have a difference of squares where in this case and . So let's use the difference of squares formula to factor the expression: Start with the difference of squares formula. Plug in and . So this shows us that factors to . In other words . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Polynomials-and-rational-expressions/385276: Not understanding, can anyone help? Factor the expression a^2-6ab+96b^2 into a product of binomials. 1 solutions Answer 272583 by jim_thompson5910(28715)   on 2010-12-12 23:27:52 (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 coefficient is . Now multiply the first coefficient by the last coefficient 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 : 1,2,3,4,6,8,12,16,24,32,48,96 -1,-2,-3,-4,-6,-8,-12,-16,-24,-32,-48,-96 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*96 = 96 2*48 = 96 3*32 = 96 4*24 = 96 6*16 = 96 8*12 = 96 (-1)*(-96) = 96 (-2)*(-48) = 96 (-3)*(-32) = 96 (-4)*(-24) = 96 (-6)*(-16) = 96 (-8)*(-12) = 96 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 96 1+96=97 2 48 2+48=50 3 32 3+32=35 4 24 4+24=28 6 16 6+16=22 8 12 8+12=20 -1 -96 -1+(-96)=-97 -2 -48 -2+(-48)=-50 -3 -32 -3+(-32)=-35 -4 -24 -4+(-24)=-28 -6 -16 -6+(-16)=-22 -8 -12 -8+(-12)=-20 From the table, we can see that there are no pairs of numbers which add to . So cannot be factored. =============================================================== Answer: So doesn't factor at all (over the rational numbers). So is prime. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Polynomials-and-rational-expressions/385262: 12y^2+5y-3 1 solutions Answer 272577 by jim_thompson5910(28715)   on 2010-12-12 23:18:26 (Show Source): You can put this solution on YOUR website! I'm assuming you want to factor this. 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 : 1,2,3,4,6,9,12,18,36 -1,-2,-3,-4,-6,-9,-12,-18,-36 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-36) = -36 2*(-18) = -36 3*(-12) = -36 4*(-9) = -36 6*(-6) = -36 (-1)*(36) = -36 (-2)*(18) = -36 (-3)*(12) = -36 (-4)*(9) = -36 (-6)*(6) = -36 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 -36 1+(-36)=-35 2 -18 2+(-18)=-16 3 -12 3+(-12)=-9 4 -9 4+(-9)=-5 6 -6 6+(-6)=0 -1 36 -1+36=35 -2 18 -2+18=16 -3 12 -3+12=9 -4 9 -4+9=5 -6 6 -6+6=0 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 =============================================================== Answer: 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). If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

test/385261: Graph the following equation using the intercepts -4x+8y=-16 What goes on the x and y axis?!?! I'm so confused 1 solutions Answer 272575 by jim_thompson5910(28715)   on 2010-12-12 23:06:20 (Show Source): You can put this solution on YOUR website! x-intercept To find the x-intercept, plug in and solve for x Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the x-intercept is . ------------------------------------------ y-intercept To find the y-intercept, plug in and solve for y Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. Divide both sides by to isolate . Reduce. So the y-intercept is . Now let's plot the points and which are the x and y intercepts respectively. Now draw a straight line through the plotted points to graph . Graph of If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Equations/385259: Determine whether the given number is a solution to the equation following it. 5,3x-7=2x+1 1 solutions Answer 272574 by jim_thompson5910(28715)   on 2010-12-12 23:04:13 (Show Source): You can put this solution on YOUR website! Start with the given equation. Plug in . Evaluate and simplify the left side. Evaluate and simplify the right side. Since the equation is NOT true, this means that is NOT a solution. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Conjunction/385135: Truth Table: ~(P=>Q)<=>(P^~Q) I believe I am on the right path with the following: P Q P=>Q ~(P=>Q) ~Q P^~Q t t t t f t f t t f f f t f f t t t f f t f t f Making this table a neither a tautology or a contrdiction. Would this be correct? Six columns with 4 t or f under each column. They would not line up for me so I hope this is understandable. Melody 1 solutions Answer 272524 by jim_thompson5910(28715)   on 2010-12-12 20:11:08 (Show Source): You can put this solution on YOUR website! The truth table for ~(P=>Q)<=>(P^~Q) is P Q P => Q ~(P => Q) ~Q P ^ ~Q ~(P => Q) <=> (P ^ ~Q) T T T F F F T T F F T T T T F T T F F F T F F T F T F T which means that we have a tautology. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Probability-and-statistics/384642: given that p(a)=0.4, p(b)=0.4, and p(a and b)=0.10, determine p(a|b) 1 solutions Answer 272333 by jim_thompson5910(28715)   on 2010-12-12 04:17:37 (Show Source): You can put this solution on YOUR website! Using the idea that P(A | B) = P(A and B)/P(B), this means that p(a|b) = p(a and b)/p(b) p(a|b) = 0.10/0.4=0.25 So p(a|b) = 0.25

Numeric_Fractions/384713: I don't believe 8x to the 3rd power (exponent over the x)divided by 15y to the 3rd(exponent 3 over the y)can be reduced to anything. The answer is the fraction, 8x3/15y3 Correct or wrong? there is nothing to reduce. Is this correct or not? Thanks 1 solutions Answer 272332 by jim_thompson5910(28715)   on 2010-12-12 04:15:22 (Show Source): You can put this solution on YOUR website! You are correct, does not simplify any further. However, we have no way of checking whether is the answer (as you haven't posted the actual problem).

Polynomials-and-rational-expressions/384695: OK, last weary question for the night: have I gotten this one right?? 4x^2 - 21x + 20 (4x^2 - 25x) + (4x = 20) x(4^2 - 25) + (4(x + 5) = (4^2 -25)(x+4)?????????????? thanks in advance - and where've y'all been all my life???????? 1 solutions Answer 272331 by jim_thompson5910(28715)   on 2010-12-12 04:13:31 (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 : 1,2,4,5,8,10,16,20,40,80 -1,-2,-4,-5,-8,-10,-16,-20,-40,-80 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*80 = 80 2*40 = 80 4*20 = 80 5*16 = 80 8*10 = 80 (-1)*(-80) = 80 (-2)*(-40) = 80 (-4)*(-20) = 80 (-5)*(-16) = 80 (-8)*(-10) = 80 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 80 1+80=81 2 40 2+40=42 4 20 4+20=24 5 16 5+16=21 8 10 8+10=18 -1 -80 -1+(-80)=-81 -2 -40 -2+(-40)=-42 -4 -20 -4+(-20)=-24 -5 -16 -5+(-16)=-21 -8 -10 -8+(-10)=-18 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 =============================================================== Answer: 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). If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

test/384566: i need help with geometry simalarity right trianglesand trigonometry If a/b=5/3 then 3a = ____. 1 solutions Answer 272221 by jim_thompson5910(28715)   on 2010-12-11 18:37:06 (Show Source): You can put this solution on YOUR website! Cross multiply to get

Probability-and-statistics/384519: A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces. The standard deviation is known to be 0.20 ounces. Assuming that the hypothesis test is to be performed using 0.10 level of significance and a random sample of n = 64 bottles, which of the following would be the correct formulation of the null and alternative hypotheses? Answer a.Ho : x-bar = 16HA : x-bar not equal to 16 Ho : u = 16HA : u not equal to 16 Ho : u >16HA : u < 16 Ho : x-bar > 16HA : x-bar <16 1 solutions Answer 272210 by jim_thompson5910(28715)   on 2010-12-11 16:34:21 (Show Source): You can put this solution on YOUR website! You want the null Ho to be very specific. So you want an equation in the null hypothesis. This means that we can rule out the last two choices. Now because we're doing a test on a population parameter, this means that we're going to be testing and NOT . Why? Because we can very easily find the value of for that given sample (since this is the sample mean), so there's no need to test it. However, we can't easily find the value of , which means that we need to test it. So this rules out the first choice. So the answer is : :

test/384493: |5x-7|=-5 1 solutions Answer 272208 by jim_thompson5910(28715)   on 2010-12-11 16:29:47 (Show Source): You can put this solution on YOUR website! Since the absolute value of any number is ALWAYS nonnegative, this means that there are no solutions to this equation.

Distributive-associative-commutative-properties/384527: Factor completely. 64 + 27w^3 1 solutions Answer 272207 by jim_thompson5910(28715)   on 2010-12-11 16:28:55 (Show Source): You can put this solution on YOUR website! Start with the given expression. Rewrite as . Rewrite as . Now factor by using the sum of cubes formula. Remember the sum of cubes formula is Multiply ----------------------------------- Answer: So factors to . In other words, If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Sequences-and-series/384539: What is the sum of 56 and 9 1 solutions Answer 272206 by jim_thompson5910(28715)   on 2010-12-11 16:27:56 (Show Source): You can put this solution on YOUR website! 56+9 = 65