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# Recent problems solved by 'rapaljer'

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 Percentage-and-ratio-word-problems/79815: what was the percentage increase in motor vehicle production in countries outside the United States from 1950 to 1977? I 1 solutions Answer 57274 by rapaljer(4667)   on 2007-04-28 00:04:05 (Show Source): You can put this solution on YOUR website!Were you given any information in the problem for this one? R^2 at SCC
 Geometric_formulas/79705: FAA 22: A square has diagonals of length 8 cm. Find the area. ___ square cm1 solutions Answer 57273 by rapaljer(4667)   on 2007-04-28 00:02:06 (Show Source): You can put this solution on YOUR website!Let x=side of square. By Theorem of Pythagoras, As good fortune would have it, also just happens to be the area of the square. Therefore, the area of the square is 32 square centimeters. R^2 at SCC
 Coordinate-system/79814: which of the folowing is equivalent to 3a+4b-(-6a-3b)? 16ab -3a+b -3a+7b 9a+b 9a+7b1 solutions Answer 57272 by rapaljer(4667)   on 2007-04-27 23:57:16 (Show Source): You can put this solution on YOUR website!3a+4b-(-6a-3b) 3a+4b+6a+3b 9a+7b
 Polynomials-and-rational-expressions/79817: find the polymomial for the perimeter of the figure? i do not know what that mean.1 solutions Answer 57271 by rapaljer(4667)   on 2007-04-27 23:54:19 (Show Source): You can put this solution on YOUR website!If they gave you a figure and each side is labeled in terms of x, then remember that PERIMETER means to add up all the sides! So add up the sides and combine like terms. That's it! R^2 at SCC
 Polynomials-and-rational-expressions/79818: find the polymomial for the perimeter of the figure? i do not know what that mean.1 solutions Answer 57270 by rapaljer(4667)   on 2007-04-27 23:52:32 (Show Source): You can put this solution on YOUR website!If they gave you a figure and each side is labeled in terms of x, then remember that PERIMETER means to add up all the sides! So add up the sides and combine like terms. That's it! R^2 at SCC
 Geometry_Word_Problems/79813: find the slope of the lines graphed1 solutions Answer 57267 by rapaljer(4667)   on 2007-04-27 22:27:10 (Show Source): You can put this solution on YOUR website!You have to give us the problem!! We aren't THAT good!! R^2 at SCC
 Quadratic_Equations/79807: Write the equation of the line that passes through point (0, –9) with a slope of -6/7 . Your equation should be in the form y = mx + b 1 solutions Answer 57266 by rapaljer(4667)   on 2007-04-27 22:26:01 (Show Source): You can put this solution on YOUR website!This is a piece of cake, since you are given the y-intercept and the slope of the line! Start by graphing the y-intercept by going DOWN 9 units on the y-axis, and put a point. Now the slope is -6/7, so the RISE is -6, and the RUN is 7. Now, with your pencil on the y-intercept that you just graphed, move DOWN 6 more units, then go to the RIGHT 7 units and put the next point. Connect the dots, and it should look like this: R^2 at SCC
 Linear-equations/79811: Graph the linear equation by finding and plotting its intercepts. Please help me slove this problem 6x-18y=0 I came up with 6x-18y=0 6(0)-18y=0----- 6x-18(0)=0 0-18y-0----- 6x-0 =0 y=0----- x=0 (0,0) ------- (0,0) PLEASE TELL ME IF THIS IS WRONG, I NEED THIS BY SUNDAY AM -THANK YOU1 solutions Answer 57265 by rapaljer(4667)   on 2007-04-27 22:20:37 (Show Source): You can put this solution on YOUR website!What you did is correct. Unfortunately, when you find the x and y intercepts, you get the same point (0,0). You need to get another point or find the slope in order to draw the line. To get another point, choose an appropriate value of x, say x=3. From this you can easily see that y=1. So plot this point, as well as (0,0), and connect the dots. R^2 at SCC
 Quadratic_Equations/79812: Write the equation of the line passing through (0, 9) and (1, 9). Your equation should be in the form y = mx + b 1 solutions Answer 57264 by rapaljer(4667)   on 2007-04-27 22:13:15 (Show Source): You can put this solution on YOUR website!If you graph these two points, you will see that they form a HORIZONTAL line. The equation of a HORIZONTAL line is in the form of "y= " a number. In this case, the equation requires that the value of y be 9, so the equation of the line is . R^2 at SCC
 Geometric_formulas/79692: What is the surface area of a cube with edges of length 3?1 solutions Answer 57263 by rapaljer(4667)   on 2007-04-27 22:09:58 (Show Source): You can put this solution on YOUR website!If the length of a side of a square is 3 units, then the surface area of one "face" is or 9 square units. There are 6 faces on the square, so the total surface area = 9*6 = 54 square units. R^2 at SCC
 Travel_Word_Problems/79802: I have tried to remember how to count the points given. and I cannot could you please help me. The questions asks Two points are shown. find the slope of the line through the given points. How do I find out how many points are given. When the questions says points given do that always mean only 2 points will be given. I am totally confused please help1 solutions Answer 57262 by rapaljer(4667)   on 2007-04-27 22:01:42 (Show Source): You can put this solution on YOUR website!You probably have a whole list of exercises, and in each exercise, TWO points are given. For each exercise, then , you are given only two points. To find the slope, you must find the , which can be found with this famous formula: According to this formula, to find the RISE, you must subtract the y coordinates, and to find the RUN, you must subtract the x coordinates. Then just take the RISE OVER the RUN. That will be the slope between the two points. R^2 at SCC
 Travel_Word_Problems/79803: I have tried to remember how to count the points given. and I cannot could you please help me. The questions asks Two points are shown. find the slope of the line through the given points. How do I find out how many points are given. When the questions says points given do that always mean only 2 points will be given. I am totally confused please help1 solutions Answer 57261 by rapaljer(4667)   on 2007-04-27 21:59:09 (Show Source): You can put this solution on YOUR website!You probably have a whole list of exercises, and in each exercise, TWO points are given. For each exercise, then , you are given only two points. To find the slope, you must find the , which can be found with this famous formula: According to this formula, to find the RISE, you must subtract the y coordinates, and to find the RUN, you must subtract the x coordinates. Then just take the RISE OVER the RUN. That will be the slope between the two points. R^2 at SCC
 Linear-equations/79800: what is the slope of the line with the equation 2x+3y+6=0? 1 solutions Answer 57260 by rapaljer(4667)   on 2007-04-27 21:50:54 (Show Source): You can put this solution on YOUR website!2x+3y=6 To find the slope, you must solve for y in terms of x. In this case, get the 2x +6 terms to the right side of the equation: 3y=-2x-6 Next, divide both sides by 3: The slope is the coefficient of x, which is . R^2 at SCC
 Functions/79728: This question is from textbook college algebra f(x) = 2x/x-11 solutions Answer 57259 by rapaljer(4667)   on 2007-04-27 21:45:28 (Show Source): You can put this solution on YOUR website! R^2 at SCC
 test/79799: suppose that a polynomial function of degree 5 with rational coefficients has 3, sq root of 7, 4-2i as zeroes. find the other zeros1 solutions Answer 57258 by rapaljer(4667)   on 2007-04-27 21:35:11 (Show Source): You can put this solution on YOUR website!Polynomial functions with rational coefficients always have irrational and complex zeros in conjugate pairs. That is a fancy way of saying that if you have a zero of ,then you also have a zero at . If you have a zero at , then you also have a zero at . R^2 at SCC
 Coordinate-system/79786: I need to sketch a rectangular coordinate system and graph the line y = 1/2x - 11 solutions Answer 57257 by rapaljer(4667)   on 2007-04-27 21:31:25 (Show Source): You can put this solution on YOUR website!As in the pervious graph that I posted, this equation is in SLOPE-INTERCEPT FORM, y=mx+b. In this case , the y-intercept is -1, and the slope m==, which means that the RISE =1, and the RUN =2. Start graphing the y-intercept by going DOWN 1 unit on the y-axis. Put a point there. Now, with your pencil on this point, go UP 1 unit, then go to the RIGHT 2 units, and put another point. Connect the dots. It should look like this: R^2 at SCC
 Graphs/79775: Solve the following system of equations using the graphing method. Besure to state the solution to the system. x-y=-5 2x-6y=-181 solutions Answer 57250 by rapaljer(4667)   on 2007-04-27 20:49:08 (Show Source): You can put this solution on YOUR website!Because these equations are given in standard form, it's easiest to graph each of these by the TWO INTERCEPT METHOD. x-y=-5 If x=0, then -y=-5, so y=5 If y=0, then x=-5 2x-6y=-18 If x=0, then -6y=-18, so y=3 If y=0, then 2x=-18, so x=-9 Graph these points and connect the respective dots! It should look like this: It looks like the graphs cross at x=-3 and y=2. Therefore the solution set is the point { (-3,2) } R^2 at SCC
 Graphs/79774: Solve the following system of equations using the graph method. Be sure to state the solution to the system. 4x=6y=-18 y=11 solutions Answer 57247 by rapaljer(4667)   on 2007-04-27 20:42:05 (Show Source): You can put this solution on YOUR website!Again, you have TWO many equal signs (joke!!) in the first equation!! R^2 at SCC
 Graphs/79776: Solve the following system of equations using the substitution method. Be sure to state the solution to the system. 2x=3y=7 y=-2/3x+31 solutions Answer 57246 by rapaljer(4667)   on 2007-04-27 20:40:01 (Show Source): You can put this solution on YOUR website!I think there is an error in the way you copied the problem. You have two equal signs in the first equation. R^2 at SCC
 logarithm/79779: log(Base3)(x-1) -Log(base3)(x+2)=21 solutions Answer 57245 by rapaljer(4667)   on 2007-04-27 20:37:12 (Show Source): You can put this solution on YOUR website! Multiply both sides by the common denominator : However, there is a restriction that you can't have a log of a negative. This answer for gives the log of a negative number in BOTH logarithmic expressions, so it must be rejected. Therefore there is NO SOLUTION to this problem. For additional exercises and detailed solution IN COLOR, see my webpage on logarithms by clicking on my tutor name "rapaljer" anywhere in algebra.com. Then look for "Math in Living Color", "College Algebra", "Section 4.04 Solving Exponential and Logarithmic Equations." R^2 at SCC
 Functions/79021: i need to do homework how can i get to a page of homework so i can do it.i need homework on algebra1.1 solutions Answer 56815 by rapaljer(4667)   on 2007-04-22 10:39:30 (Show Source): You can put this solution on YOUR website!See my website by clicking on my tutor name "rapaljer" anywhere here in algebra.com. Then click on "Basic Algebra", then "Basic Algebra: One Step at a Time," then "Chapter 1" (or whatever chapter you want to see!). Next select any topic. You will find an entire explanation with examples and exercises with answers at the end for most of the topics in Algebra 1. If you go back to my main page and click on "Math in Living Color", you will find many of these problems, the ones that my own students have had questions about, solved "in color". This is all FREE!! R^2 at SCC
 Radicals/79031: Write in descending-exponent form, and give the degree. 7x^3 – 6x^4 – x^6 – 4 1 solutions Answer 56740 by rapaljer(4667)   on 2007-04-21 09:47:45 (Show Source): You can put this solution on YOUR website!This just means to write the expression with the highest powers of x first! The degree is the highest power of x, which in this case is 6. R^2 at SCC
 Radicals/79032: sqrt=sqrt/sqrt1 solutions Answer 56738 by rapaljer(4667)   on 2007-04-21 09:33:43 (Show Source): You can put this solution on YOUR website!Are you trying to rationalize the denominator? What are the instructions on the problem? Maybe this is it: * R^2 at SCC