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# Recent problems solved by 'funmath'

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 Quadratic_Equations/62001: This question is from textbook alegbra concepts and applications please help!! If x = 36, evalutate square root of x - 61 solutions Answer 42763 by funmath(2925)   on 2006-11-18 19:08:01 (Show Source): You can put this solution on YOUR website!If x = 36, evalutate Substitute 36 in for x and simplify. Happy Calculating!!!
 Linear-systems/62026: Two trains left the same city at the same time, traveling in opposite directions. The eastbound train travels for 10 hours, and the westbound train travels for 5 hours. They are now 1300 km apart. The westbound train's rate is 20 km/h faster than the eastbound train. Find the rate speed of each train.1 solutions Answer 42760 by funmath(2925)   on 2006-11-18 19:02:27 (Show Source): You can put this solution on YOUR website!Two trains left the same city at the same time, traveling in opposite directions. The eastbound train travels for 10 hours, and the westbound train travels for 5 hours. They are now 1300 km apart. The westbound train's rate is 20 km/h faster than the eastbound train. Find the rate speed of each train. : distance = rate*time --> d=rt The time east t= 10 hr the rate east r= x the time west t= 5 the rate west r= x+20 The total distance between them d= 1300 km : Therefore it makes sence that if we add the distance that they travel we get 1300 km. The distance east r*t=10x the distance west r*t=5(x+20) : Probalem to solve: 10x+5(x+20)=1300 10x+5x+100=1300 15x+100-100=1300-100 15x=1200 15x/15=1200/15 x=80 The rate east is x=80 km/h the rate west is x+20=80+20=100 km/h Happy Calculating!!!
 Exponential-and-logarithmic-functions/61836: Exponential and Logarithmic Functions (1) Let f(z) = 3^z (a) Find what value of z does f(z) = 81? (b) For what value of z does f(z) = 1? (2) Graph each of the following. Give coordinates of at least 3 points on each graph. (a) y = 3^x (b) y = logsub 3 x (3) The population of a large U.S. city is growing according to the function P = 1,400,000(1.023)^t, where t is the number of years since 1990. (a) What was the population in 1990? (b) What will the population be in 2007 according to this formula? (c) What does the value of 1.023 mean in the context of the problem?1 solutions Answer 42750 by funmath(2925)   on 2006-11-18 18:06:36 (Show Source): You can put this solution on YOUR website!Exponential and Logarithmic Functions (1) Let f(z) = 3^z (a) Find what value of z does f(z) = 81? Method of like bases: Same thing by taking the log of both sides but it requires a calculator. <--anytime you can't figure it out by making like bases you can do this. : (b) For what value of z does f(z) = 1? Or you can take the log of both sides. : (2) Graph each of the following. Give coordinates of at least 3 points on each graph. : (a) y = 3^x If x=-1 y=3^(-1) --> y=1/3 Plot (-1,1/3) If x=0 y=3^0 --> y=1 Plot (0,1) If x=1 y=3^1 --> y=3 Plot (1,3) : (b) y = logsub 3 x x=3^y If y=-1 x=3^(-1) --> x=1/3 Plot(1/3,-1) If y=0 x=3^0 --> x=1 Plot(0,1) If y=1 x=3^1 --> x=3 Plot (3,1) : (3) The population of a large U.S. city is growing according to the function P = 1,400,000(1.023)^t, where t is the number of years since 1990. (a) What was the population in 1990? t=0 in 1990 P=1,400,000(1.023)^0 P=1,400,000(1)=1,400,000 : (b) What will the population be in 2007 according to this formula? t=2007-1990=17 P=1,400,000(1.023)^(17)=2,060,700 : (c) What does the value of 1.023 mean in the context of the problem? : The reason that I didn't answer this sooner is I'm not sure what vocabulary you need to use. Look it up in your book to be sure. It might be that it represents the population rate of growth. : Happy Calculating!!!
 Square-cubic-other-roots/62005: This question is from textbook alegbra concepts and applications please help simplify 5 square root of 801 solutions Answer 42745 by funmath(2925)   on 2006-11-18 16:21:01 (Show Source): You can put this solution on YOUR website! Happy Calculating!!!
 Exponential-and-logarithmic-functions/61834: Exponential and Logarithmic Functions (1)Let f(x) = 2^x , g(x) = (1/8)^x, and h(x) = log sub 2(x). Find each of the following: f(3) f(-2) f(1/2) g(2) g(-1) g(1/3) h(2) h(1/2) (2) Solve each of the following equations for the given variable (a) 2^a = 16 (b) 3^z = 1/9 (c) 9^n = 3 (d) (1/5)^x = 25 1 solutions Answer 42744 by funmath(2925)   on 2006-11-18 16:13:09 (Show Source): You can put this solution on YOUR website!Exponential and Logarithmic Functions (1)Let f(x) = 2^x , g(x) = (1/8)^x, and h(x) = log sub 2(x). Find each of the following: : : : : : : : : (2) Solve each of the following equations for the given variable (a) If you can use a calculator and can't figure this out: <---This can be done for any that you can't solve mentally as long as you have a log capable calculator. : (b) : (c) : (d) : Happy Calculating!!!
 Divisibility_and_Prime_Numbers/61789: This question is from textbook Pre-Algebra Use the clues to find the missing numbers.(Clue) The greatest common factor (GCF) of two numbers is 6.1 solutions Answer 42743 by funmath(2925)   on 2006-11-18 16:06:45 (Show Source): You can put this solution on YOUR website!Use the clues to find the missing numbers.(Clue) The greatest common factor (GCF) of two numbers is 6. There must be other clues or there is more than one possible answer. The GCF of 6 and 12 is 6 The GCF of 6 and 18 is 6 The GCF of 6 and 24 is 6 The GCF of 12 and 18 is 6 The possibilities are endless. What else did it say? Happy Calculating!!!
 Equations/62017: If n= 3p, for what value of p is n = p? according to the answer provided on the back of the book, the answer is zero. However, i think the book is incorrect and the real answer is 1/3. How do you solve this question?1 solutions Answer 42741 by funmath(2925)   on 2006-11-18 16:00:04 (Show Source): You can put this solution on YOUR website!If n= 3p, for what value of p is n = p? Let n=3p 3p=p 3p-p=p-p 2p=0 2p/2=0/2 p=0 : This one was weird, I might not have given this one a try if you hadn't have indicated to answer from the book. Thanks for the brain teaser. Happy Calculating!!!
 Exponents-negative-and-fractional/62006: This question is from textbook alegbra concepts and applications simplify (4kx-4kx^2)/4kx1 solutions Answer 42739 by funmath(2925)   on 2006-11-18 15:54:34 (Show Source): You can put this solution on YOUR website!simplify anything divided by itslef is 1. Happy Calculating!!!
 Expressions-with-variables/62011: This question is from textbook alegbra concepts and applications please help me simplify 1/a+b/x1 solutions Answer 42738 by funmath(2925)   on 2006-11-18 15:44:25 (Show Source): You can put this solution on YOUR website!simplify The LCD is ax, whatever you do to the denominator to get that, you must do to the numerator. Happy Calculating!!!
 Linear-equations/61967: what is the value of p in 8-3p=13-5 and how did you get that answer?1 solutions Answer 42714 by funmath(2925)   on 2006-11-18 08:43:15 (Show Source): You can put this solution on YOUR website!what is the value of p in 8-3p=13-5 and how did you get that answer? 8-3p=8 -8+8-3p=8-8 -3p=0 -3p/-3=0/-3 p=0 : Check: 8-3(0)=13-5 8-0=8 8=8 We're right!!! Happy Calculating!!!!
 Polynomials-and-rational-expressions/61804: how do you find the gcf of polynaimals1 solutions Answer 42706 by funmath(2925)   on 2006-11-18 07:36:52 (Show Source): You can put this solution on YOUR website!Find the factors that for each term, the numbers and variables that all of the terms have is the GCF of the polynomial. Here's an example: The GCF is : Happy Calculating!!!
 Points-lines-and-rays/61634: a triangle has 3 sides 3x7 and 4x9 and 5x+6 find the expressions that represents this perimiter1 solutions Answer 42705 by funmath(2925)   on 2006-11-18 07:26:22 (Show Source): You can put this solution on YOUR website!a triangle has 3 sides 3x^7 and 4x^9 and 5x+6 find the expressions that represents this perimiter (If the 7 and 9 are not exponents, let me know) Perimeter is found by adding the sides together: Since there are no like terms, the best you can do is put the terms in descending order. Happy Calculating!!!
 Distributive-associative-commutative-properties/61636: Which is equivalent to the expresion below? 4(12m/3)+9-2(3m)1 solutions Answer 42704 by funmath(2925)   on 2006-11-18 07:20:01 (Show Source): You can put this solution on YOUR website!Which is equivalent to the expresion below? Happy Calculating!!!
 Divisibility_and_Prime_Numbers/61838: 21a^3b^2c^4, 28a^2b^3c^6, 32ab^4c^5 I need help with this problem1 solutions Answer 42703 by funmath(2925)   on 2006-11-18 07:13:26 (Show Source): You can put this solution on YOUR website!I'm not sure what you want, I'm going to take a chance that you want the GCF. , , , , The GCF is Let me know if your instructions require something else. Happy Calculating!!!
 Exponential-and-logarithmic-functions/61869: 1)y=-2/3x 2)y=-2x+5 3)log34/h 4)log3c5d1 solutions Answer 42702 by funmath(2925)   on 2006-11-18 07:05:16 (Show Source): You can put this solution on YOUR website!What are your instructions? I'm not sure what you want.
 Functions/61895: Multiply and write the result in simplest form 2/9.4/5 1 solutions Answer 42701 by funmath(2925)   on 2006-11-18 07:02:52 (Show Source): You can put this solution on YOUR website! Happy Calculating!!!
 logarithm/61958: This question is from textbook Solve the equation. cuberoot2^(2-x) = 2^(x^2) This problem is very confusing for me, please help!1 solutions Answer 42700 by funmath(2925)   on 2006-11-18 07:00:32 (Show Source): You can put this solution on YOUR website!Solve the equation. cuberoot2^(2-x) = 2^(x^2) Since the bases are the same, their exponents are equal. Factor by what ever method you use, I'm using arch,ac,or grouping. Set each parntheses=0. x+1=0 and 3x-2=0 x+1-1=0-1 and 3x-2+2=0+2 x=-1 and 3x=2 x=-1 and 3x/3=2/3 x=-1 and x=2/3 : Check: for x=-1 cubedroot cubed root cubed root x=-1 is valid for x=2/3 cubed root cubed root cubed root x=2/3 is also valid. There's another method for solving this, but you have to use a calculator if you take the log of both sides, so don't freak out if this is not the method you were taught. Happy Calculating!!!
 Polynomials-and-rational-expressions/61961: Please help with factoring the polynomial 4x^7+4x^5+x^4+x^2.1 solutions Answer 42697 by funmath(2925)   on 2006-11-18 06:41:31 (Show Source): You can put this solution on YOUR website!Factor the polynomial First factor the gcf, x^2 Now group the first 2 terms and the last two terms. Factor the GCF from each group. They both have a x^2+1, factor it out. Happy Calculating!!!
 Polynomials-and-rational-expressions/61962: Please help with factoring the polynomial 4a^2+4ab+b^2-91 solutions Answer 42696 by funmath(2925)   on 2006-11-18 06:33:44 (Show Source): You can put this solution on YOUR website!Factor the polynomial This is a little tricky, notice that the first three terms are a perfect square trinomial See what I mean, u=2a, v=b. Now you have the difference of squares: u=2a+b, v=3 Happy Calculating!!!
 Numeric_Fractions/61901: Divide. Write the result in simplest form. 9/10 devided by 12/151 solutions Answer 42647 by funmath(2925)   on 2006-11-17 17:20:30 (Show Source): You can put this solution on YOUR website!9/10 divided by 12/15 Flip the second fraction and multiply. Happy Calculating!!!
 Functions/61903: Convert 16/7 to a mixed number1 solutions Answer 42642 by funmath(2925)   on 2006-11-17 17:10:51 (Show Source): You can put this solution on YOUR website!Convert 16/7 to a mixed number 6 goes into 16 2 times with 2 left over. 2 2/7 : or 14/7+ 2/7=2 2/7 : Happy Calculating!!!
 Functions/61900: Some help Please given f(x)=3x-7, find f^-1(x) thank you for your time 1 solutions Answer 42641 by funmath(2925)   on 2006-11-17 17:06:51 (Show Source): You can put this solution on YOUR website!given f(x)=3x-7, find f^-1(x) Let f(x)=y y=3x-7 Swap the x and y and solve for y x=3y-7 x+7=3y-7+7 x+7=3y (x+7)/3=3y/3 (1/3)x+7/3=y Let y=f^-1(x) f^(-1)(x)=(1/3)x+7/3 Happy Calculating!!!
 Polynomials-and-rational-expressions/61893: I need some help please Find all zeros of f(x)=3x^2(x-5)(2x+9)^3(x-4) and their multtiplicatee thank you1 solutions Answer 42640 by funmath(2925)   on 2006-11-17 17:01:53 (Show Source): You can put this solution on YOUR website!f(x)=3x^2(x-5)(2x+9)^3(x-4) Set each factor = to 0 and solve for x to find the 0's. : x-5=0 x-5+5=0+5 x=5 : 2x+9=0 2x+9-9=0-0 2x/2=-9/2 x=-4.5 : x-4=0 x-4+4=0+4 x=4 : I'm not sure what you mean by multipliatee. The zeroes are: x={0,5,-4.5,4} Happy Calculating!!!
 Proportions/61633: -5/c=1/3 -6/13=8/(x+1) (r+2)/7=5/71 solutions Answer 42636 by funmath(2925)   on 2006-11-17 15:37:43 (Show Source): You can put this solution on YOUR website!Cross Multiply ( is -5(3)=c(1) : -6(x+1)=8(13) -6x-6=104 -6x-6+6=104+6 -6x=110 : 7(r+2)=7(5) Happy Calculating!!!
 logarithm/61833: Exponential and Logarithmic Functions (1)Let f(x) = 2^x , g(x) = (1/8)^x, and h(x) = log sub 2(x). Find each of the following: f(3) f(-2) f(1/2) g(2) g(-1) g(1/3) h(2) h(1/2) (2) Solve each of the following equations for the given variable (a) 2^a = 16 (b) 3^z = 1/9 (c) 9^n = 3 (d) (1/5)^x = 25 1 solutions Answer 42635 by funmath(2925)   on 2006-11-17 15:21:55 (Show Source): You can put this solution on YOUR website!Exponential and Logarithmic Functions (1)Let f(x) = 2^x , g(x) = (1/8)^x, and h(x) = log sub 2(x). Find each of the following: : : : : : : : : (2) Solve each of the following equations for the given variable (a) If you can use a calculator and can't figure this out: <---This can be done for any that you can't solve mentally as long as you have a log capable calculator. : (b) : (c) : (d) : Happy Calculating!!!
 Functions/61665: Could someone helo me please Find the domain and range of Y=squaree root of 8+5x thx 1 solutions Answer 42624 by funmath(2925)   on 2006-11-17 14:22:03 (Show Source): You can put this solution on YOUR website!Find the domain and range of. [DOMAIN IS EVERYTHING THE X'S CAN BE, THE RANGE IS EVERYTHING THE Y'S CAN BE BECAUSE OF X] : You can't have a real number solution for a negative number, so: <--domain At x=-8/5, y=0 when x gets really big, y gets big too, so the range is : Happy Calculating!!!
 Divisibility_and_Prime_Numbers/61878: find the GCF for 14 and 211 solutions Answer 42623 by funmath(2925)   on 2006-11-17 14:12:13 (Show Source): You can put this solution on YOUR website!find the GCF for 14 and 21 7 is the GCF because it's the greatest factor that both numbers have 14=7*2 21=7*3 Happy Calculating!!!
 Functions/61879: FIND THE GCF OF 6 18 AND 301 solutions Answer 42622 by funmath(2925)   on 2006-11-17 14:09:52 (Show Source): You can put this solution on YOUR website!FIND THE GCF OF 6 18 AND 30 6 is the GCF, because it's the biggest factor of all three numbers 6=6*1 18=6*3 30=6*5 Happy Calculating!!!
 Divisibility_and_Prime_Numbers/61880: find the LCM for 4 and 201 solutions Answer 42621 by funmath(2925)   on 2006-11-17 14:07:28 (Show Source): You can put this solution on YOUR website!find the LCM for 4 and 20 20 is the LCM, because it's the lowest number that both 4 and 20 divide into evenly. 20/4=5 and 20/20=1 : Happy Calculating!!!
 logarithm/61801: This question is from textbook Please help with the following problem: e^x = 2^x+11 solutions Answer 42616 by funmath(2925)   on 2006-11-17 13:34:57 (Show Source): You can put this solution on YOUR website!e^x = 2^(x+1) ln(e^x)=ln(2^(x+1)) xln(e)=(x+1)ln(2) x(1)=(x+1)ln(2) x=xln(2)+ln(2) x-xln(2)=ln(2) x(1-ln(2))=ln(2) x(1-ln(2))/(1-ln(2))=ln(2)/(1-ln(2)) x=ln(2)/(1-ln(2)) x=2.258891353 approximatlely. Happy Calculating!!!