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Numbers_Word_Problems/156069: This question is from textbook algebra for college students i'm not sure how to solve this problem 1 solutions Answer 114973 by Fombitz(13828)   on 2008-09-10 10:10:58 (Show Source): You can put this solution on YOUR website! Please re-post with the questions spelled out. Not all of the tutors have all of the books. Thanks.

Functions/156117: Find k as a function of j. j=5/k+1 +2 1 solutions Answer 114972 by Fombitz(13828)   on 2008-09-10 10:09:13 (Show Source): You can put this solution on YOUR website!

Exponential-and-logarithmic-functions/156082: graph the exponential function f(x)=4^x+2 1 solutions Answer 114970 by Fombitz(13828)   on 2008-09-10 10:06:51 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/156104: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: FIND THE DISTANCE BETWEEN THE PAIR OF POINTS. (-2,-6) and (7,-3) 1 solutions Answer 114969 by Fombitz(13828)   on 2008-09-10 10:02:06 (Show Source): You can put this solution on YOUR website! Use the distance formula,(-2,-6) and (7,-3)

Polynomials-and-rational-expressions/156107: I have a few factoring questions. I would love some assistance. can you factor this so that I can understand what is going on here: 1. 4x^3y^5z^2 - 12x^4y^6z^4 + 16x^2y^5z^3. thank you. 1 solutions Answer 114968 by Fombitz(13828)   on 2008-09-10 09:56:46 (Show Source): You can put this solution on YOUR website! Let's do it step by step (x, then y, then z, then any constants) I think that's as much as you can do.

Numbers_Word_Problems/155993: Two numbers have a product of 676 and a quotient of 4 1 solutions Answer 114945 by Fombitz(13828)   on 2008-09-10 08:30:06 (Show Source): You can put this solution on YOUR website! Call your numbers A and B. 1. 2. From eq. 2, 2. Substitute that into eq. 1, 1. or From eq. 2, or or Two solutions, (13,52) or (-13,-52).

Matrices-and-determiminant/156060: Let A and B be 2 × 2 matrices. Let [ 2 3 ] and [ -4 5 ] be the first and second rows of A, respectively. Let [ 2 3 ] and [ -4 5 ] be the first and second columns of B, respectively. If C = AB, then | C | = a. 484 b. 452 c. 582 d. -724 1 solutions Answer 114944 by Fombitz(13828)   on 2008-09-10 08:23:43 (Show Source): You can put this solution on YOUR website! a) 484.

Exponential-and-logarithmic-functions/156085: graph the exponential function f(x)=4^x 1 solutions Answer 114942 by Fombitz(13828)   on 2008-09-10 08:14:39 (Show Source): You can put this solution on YOUR website!

Numbers_Word_Problems/156091: The sum of three consecutive integers is 279. Find the integers. 1 solutions Answer 114941 by Fombitz(13828)   on 2008-09-10 08:12:48 (Show Source): You can put this solution on YOUR website! Three consecutive integers would be N, N+1, and N+2. So the three integers are 92,93, and 94.

Polynomials-and-rational-expressions/155827: can somebody please help me understand how to go about this question: Find the term not involving y in the expansion of (1/y^3+y^2)^5. Please help!! Thank you. 1 solutions Answer 114861 by Fombitz(13828)   on 2008-09-09 16:43:30 (Show Source): You can put this solution on YOUR website! A general expansion would be, Let and , the term not involving y will have y canceling out in the numerator and denominator. That's the third term of the expansion, .

Rational-functions/155916: Given: f(x)=x^2-4 g(x)=sqrt 2x+4 1)f(x)=o when x= 2)f(g(x)) 3)g(f(0)) 4)find the inverse of f(x) 1 solutions Answer 114859 by Fombitz(13828)   on 2008-09-09 16:34:44 (Show Source): You can put this solution on YOUR website! 1) and . . . 2) . . . 3) . . . 1) Use x,y nomenclature Interchange x and y Solve for y.

Linear_Equations_And_Systems_Word_Problems/155880: please help me solve this problem. graph and check to solve the linear system. -x+y=3 x+y=5 1 solutions Answer 114847 by Fombitz(13828)   on 2008-09-09 15:49:47 (Show Source): You can put this solution on YOUR website! 1. 2. Add the two equations together to get rid of x. You can use either 1 or 2 to solve for x. 1. . . . Let graph both lines, First eq. 1, y=x+3. Slope 1, Y intercept 3. . . . Then add eq. 2, y=-x+5. Slope -1, Y-intercept 5. . . . Verifies that (1,4) is the solution.

Trigonometry-basics/155903: What are the values of the indices i and j for the element that is in the fifth column and fourth row? a. 4, 5, respectively b. 5, 4, respectively c. Either 4, 5 or 5, 4; they are interchangeable d. There are no elements in matrices 1 solutions Answer 114844 by Fombitz(13828)   on 2008-09-09 15:41:44 (Show Source): You can put this solution on YOUR website! Matrix terminology is always row,column. 4th row, 5 column, i=4,j=5. a)That element would be .

Numeric_Fractions/155757: I need to write in simplest form 3 5/12 - 1 7/12 = THanks 1 solutions Answer 114810 by Fombitz(13828)   on 2008-09-09 09:56:53 (Show Source): You can put this solution on YOUR website! Change your mixed numbers to fractions. 3 5/12=41/12 1 7/12=19/12 3 5/12 - 1 7/12 = 41/12-19/12 Same denominator, you can subtract. 3 5/12 - 1 7/12 = 41/12-19/12 3 5/12 - 1 7/12 = (41-19)/12 3 5/12 - 1 7/12 = 22/12 3 5/12 - 1 7/12 = (2*11)/(2*6) 3 5/12 - 1 7/12 = 11/6 3 5/12 - 1 7/12 = 1 5/6

Linear_Equations_And_Systems_Word_Problems/155851: Hi, I'm having problems solving this problem. I need to write an equation in either slope-intercept form, or the standard(general)form: The proper crutch length for someone who has sustained a leg injury and is x inches tall, is given by: y=0.72x+2 (where y is in inches) a) What is the proper crutch length for someone who is 6 feet tall? My answer was: y=0.72(6) + 2 = 4.32 + 2 Y= 6.32 if that the correct answer. Can you help me solve b,c,& d. b) If someone donates a crutch, which is 40 inches long, to a physical therapy clinic, what should be the height of the patient that the clinic who should receive it? c) By how much does the length of the crutch increase or decrease for every increase of 1 inch in height of the patient? d) Graph the equation for x ranging from 30 inches to 100 inches. Choose a suitable scale. 1 solutions Answer 114809 by Fombitz(13828)   on 2008-09-09 09:52:45 (Show Source): You can put this solution on YOUR website! Watch your units. It'd be tough for a 6 foot patient to use a 6 inch crutch. You need to convert the height from feet to inches to use the formula. 6 feet=72 inches Let's change the equation to make it more meaningful where CH stands for crutch height (in inches) and PH, patient height (in inches). a) PH=72 b)CH=40 c) For every inch of PH, CH changes by 0.72. d) At 30 inches, At 100 inches,

Equations/155856: 100p-4000/100p=.3 solve for p 1 solutions Answer 114807 by Fombitz(13828)   on 2008-09-09 09:39:15 (Show Source): You can put this solution on YOUR website! Approximately,

Polynomials-and-rational-expressions/155737: what on earth does this mean? How do I either solve it or simplify it or WRITE it? 5x^2 + 28x - 10 / x + 6 or 5x^2 + 28x - 10 over x + 6 thank you, if you know any idea of what I should do with this, I'd appreciate it. 1 solutions Answer 114804 by Fombitz(13828)   on 2008-09-09 09:09:47 (Show Source): You can put this solution on YOUR website! You would perform a synthetic division of the two polynomials. Similar to long division but the columns signify terms of degrees of x. To get 5x^2, I would need to multiply (x+6) by 5x. That would give me 5x^2+30x. Subtract that from 5x^2+28x-10 would leave -2x-10. to get -2x, I would need to multiply (x+6) by (-2) That would give me -2x-12. Subtract that from -2x-10 would leave 2. I can't go any further. Gather up all of the terms and the remainder.

Linear-systems/152103: i need to solve this question algebracially 3/4x-2/5y=2 1/2x-3/5y=-2 1 solutions Answer 114803 by Fombitz(13828)   on 2008-09-09 08:57:21 (Show Source): You can put this solution on YOUR website! 1. 2. I'm not a big fan of fractions so I usually multiply both equations to get rid of denominators. Multiply eq. 1 by 20 and eq. 2 by 10. 1. 1. . . . 2. 2. Now use the elimination method to solve. If I multiply eq. 2 by (-3) and add to eq. 1, I can get rid of x, Using eq. 1, 1. . . . Check the answer with the original equations. 1. True. I'll leave it to you to verify that eq. 2 works also.

Reduction-of-unit-multipliers/155843: Hey you doing I'm kinda stuck on this this problem I've tried it several times. I have to use three unit multipliers to convert 576 cubic inches to cubic feet. I've can up with 192 one time and 48 I know when I can up with the anwser 48 I'm only using 1 unit multiplier and when I do 2 I get the same number back again 576 and if I use another I would only get 48 again. I use 1ft over 12in to try and solve is that correct. If anyone could with this problem I'd gradly appreciate it. thanks 1 solutions Answer 114802 by Fombitz(13828)   on 2008-09-09 08:36:50 (Show Source): You can put this solution on YOUR website! Watch your units. The conversion factor is (in^3)(1 ft/12 in)^3=1 ft^3/1728 in^3 576 cu. inches = 1/3 cu. ft.

Radicals/155850: what is 2 radical 3 over radical 15 1 solutions Answer 114801 by Fombitz(13828)   on 2008-09-09 08:32:48 (Show Source): You can put this solution on YOUR website!

Human-and-algebraic-language/155678: Jim's weekly pay is two thirds of Alicia's. Together they earn $600 per week. What is each person's weekly pay? 1 solutions Answer 114708 by Fombitz(13828)   on 2008-09-08 16:20:17 (Show Source): You can put this solution on YOUR website! Let J be what Jim earns and A what Alicia earns. 1. 2. Substitute eq.1 into eq. 2, From 1,

Finance/149323: GRAPH THE PIECEWISE FUNCTION GIVEN BY f(X)= { X+1 IF X < O { -X2 + 2 IF X >_ O X IS SQUARED AND THE SYMBOL IS GREATER THAN OR = TO 1 solutions Answer 114674 by Fombitz(13828)   on 2008-09-08 10:53:18 (Show Source): You can put this solution on YOUR website! OK, let's pick the domain to go from -5 to 5. From x=-5 to x=0 (not including x=0), the function is From x=0 (including x=0) to x=5, the function is Since for a straight line, we only need two points we will use x=-5,0 for . Plot those two points, (-5,-4) and (0,1) and draw the straight line connecting them. Next for the quadratic, we need more that 2 points, we'll pick x=0,1,2,3,4,5. Plot those and connect those points. Note the change in scale of the graph. Also, note the discontinuity at x=0.

Graphs/155519: Please help me graph this: f(x)= { 1/2x-5, if x<-2 5x+4, if x>-2 1 solutions Answer 114672 by Fombitz(13828)   on 2008-09-08 10:32:30 (Show Source): You can put this solution on YOUR website! OK, let's pick a range from -5 to 5. From (-5,-2), the function is From (-2,5), the function is Since for a straight line, we only need two points we will use -5,-2,and 5. Plot those two points, (-5,-15/2) and (-2,-6) and draw the straight line connecting them. Next, Plot those and connect those points. Note the change in scale of the graph.

logarithm/155617: After 5 hours an initial bacteria population of 100 members has increased in size to 500 members. Determine the exponential growth rate of the colony of bacteria. I'm very confused by this word problem. I'd like the correct answer and to be able to learn how to come to that answer. Thank you for all your help! 1 solutions Answer 114669 by Fombitz(13828)   on 2008-09-08 10:19:45 (Show Source): You can put this solution on YOUR website! OK, first, you know that you have exponential growth, your equation looks like this, Use your conditions to find and . . . Initially, at t=0 hours, N=100 since . . . At 5 hours, N=500, . . . Put it all together,

Probability-and-statistics/155311: Given a normally distributed population, find a 95% confidence interval for the population mean; sample mean is 119; sample std deviation is 14; sample size is 28 1 solutions Answer 114460 by Fombitz(13828)   on 2008-09-06 20:35:38 (Show Source): You can put this solution on YOUR website! Confidence interval given std. deviation and mean is, For 95% confidence, (,)

Polynomials-and-rational-expressions/155295: When solving a rational equation, why is it important to to check your final answer(s)? 1 solutions Answer 114459 by Fombitz(13828)   on 2008-09-06 20:28:02 (Show Source): You can put this solution on YOUR website! When solving any equation, it's important to check your answer. This final step proves you didn't make a mistake. It's simple, can easily become a good habit, and can save you some grief in a final.

Probability-and-statistics/155360: As a sample size approaches infinity, how does the student's t distribution compare to the normal z distribution? 1 solutions Answer 114458 by Fombitz(13828)   on 2008-09-06 20:20:00 (Show Source): You can put this solution on YOUR website! As the samples size approaches infinity, the t-distribution begins to look like the normal distribution.

real-numbers/155349: v - 7 divided by -7 simplify 1 solutions Answer 114457 by Fombitz(13828)   on 2008-09-06 20:17:25 (Show Source): You can put this solution on YOUR website!

Systems-of-equations/155412: 7+13(x+1)<3x 1 solutions Answer 114456 by Fombitz(13828)   on 2008-09-06 20:15:42 (Show Source): You can put this solution on YOUR website!

Exponential-and-logarithmic-functions/155070: Hello, I am old and trying to help my daughter with her physics homework. I have forgotten even the simplest and need a little boost.. 4x^2+12x=0 solve for x thanks, Susan 1 solutions Answer 114179 by Fombitz(13828)   on 2008-09-04 16:09:57 (Show Source): You can put this solution on YOUR website! Factor out an x from each term. Since the product equals 0, find each individual solution that yields zero. First solution Second solution . . . . Check your answers with your original equation. Good answer. Good answer.

Equations/155079: Given the points (1,-1) and (5,1), find the equation for the line is slope-intercept form and point-slope form through these points. 1 solutions Answer 114174 by Fombitz(13828)   on 2008-09-04 16:03:12 (Show Source): You can put this solution on YOUR website! The formula for the slope is, Substituting the given points (1,-1) and (5,1), The point slope form is Finally move everything but y over to the right hand side to get the slope-intercept form,