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Earlsdon answered: 6281 problems
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Inverses/85993: What is (2-x)(x+2) 1 solutions Answer 62117 by Earlsdon(6287)   on 2007-06-21 11:07:22 (Show Source): You can put this solution on YOUR website! Multiply: You could use FOIL to multiply these binomials. Simplify. or this can be written as:

Radicals/85976: Help please. I have a test today and teache is busy can't help... 2sq.rt.3(3sq.rt.6-5 sq rt2. I do not understand how to solve.Please advise...I would really appreciate it!! Michelle 1 solutions Answer 62116 by Earlsdon(6287)   on 2007-06-21 11:03:30 (Show Source): You can put this solution on YOUR website! Let's see if I have this right! Evaluate: Perform the indicated multiplication. Simplify. Simplify the first radical. Take out the Finally, factor out the and perform the indicated subtraction.

Radicals/85941: please help me simplify : eight radical two all over two radical eight 1 solutions Answer 62096 by Earlsdon(6287)   on 2007-06-21 00:06:15 (Show Source): You can put this solution on YOUR website! Simplify: = = = 2

Equations/85936: Factor. 15x^2-19x-10 1 solutions Answer 62095 by Earlsdon(6287)   on 2007-06-20 23:57:04 (Show Source): You can put this solution on YOUR website! Factor:

Exponents-negative-and-fractional/85924: I am wanting to make sure I did this right. It says solve. I homeschool my 13 year old and I am having trouble checking her work. 2 1/5x - 3/4 = -4 1/2 Thankyou Vickie 1 solutions Answer 62081 by Earlsdon(6287)   on 2007-06-20 20:23:34 (Show Source): You can put this solution on YOUR website! Solve for x: 2 1/5 (x) - 3/4 = -4 1/2 First, clear the fractions by multiplying through by 20 (the LCD) after changing the mixed numbers to improper fractions. Simplify. Add 15 to both sides. Finally, divide both sides by 44. or x = -1 31/44

Linear-equations/85839: This question is from textbook Algebra structure and method I,m supposed to write an equation for the line with slope 3 going through points (1,-2). I'm not sure how you would do that. 1 solutions Answer 62045 by Earlsdon(6287)   on 2007-06-20 11:22:48 (Show Source): You can put this solution on YOUR website! You can start with the slope-intercept form for a linear equation: y = mx + b where m is the slope and b is the y-intercept. You are given the slope, m = 3, so you can write: 1) y = 3x+b Now you need to find the value of b, the y-intercept. You can do this by substituting the x- and y-coordinates of the given point (1, -2) into equation 1) and solving for b. 2) -2 = 3(1)+b Subtract 3 from both sides. -5 = b Now you can write the final equation: y = 3x-5

Triangles/85856: Find the measures of the acute angles of a right triangle in a ratio of 2:3 1 solutions Answer 62043 by Earlsdon(6287)   on 2007-06-20 11:12:06 (Show Source): You can put this solution on YOUR website! Use the fact that the sum of the angles in any triangle = 180 degrees. 2x + 3x + 90 = 180 Combine like-terms. 5x + 90 = 180 Subtract 90 from both sides. 5x = 90 Divide both sides by 5. x = 18 2x = 36 3x = 54 The measures of the acute angles in a right triangle whose ratio is 2:3 are: 36 degrees and 54 degrees.

Triangles/85857: PLEASE HELP ME TO SOLVE THIS EQUATION. Find the the third term in a proportion whose first, second, and fourth terms are 6, 15,10, respectively. 1 solutions Answer 62042 by Earlsdon(6287)   on 2007-06-20 11:07:54 (Show Source): You can put this solution on YOUR website! Solve the proportion: Multiply both sides by 10. Simplify. The third term in the proportion is 4.

Polynomials-and-rational-expressions/85854: This question is from textbook How do I factor the difference of two squares? 1 solutions Answer 62041 by Earlsdon(6287)   on 2007-06-20 11:04:34 (Show Source): You can put this solution on YOUR website! Factor the difference of two squares: Check using FOIL: Simplify to

Rational-functions/85816: r to the second power, minus 5r+6 over r to the second power -4= 1 solutions Answer 62013 by Earlsdon(6287)   on 2007-06-19 23:45:02 (Show Source): You can put this solution on YOUR website! Simplify: Factor the numerator and the denominator. Cancel like-factors to get:

Linear-equations/85800: A customer purchased a care and financed $16,000. The customer borrowed part of the money from a bank charging 10% annual interest and the rest from a credit union at 8% annual interest. If the total interest for the year was $1390 how much borrowed from the bank and how much was borrowed from the credit uninon? 1 solutions Answer 61984 by Earlsdon(6287)   on 2007-06-19 18:17:33 (Show Source): You can put this solution on YOUR website! Let x = the amount borrowed from the bank at 10% interest. Then $16,000-x = the amount borrowed from the credit union at 8% interest. You can write the following equation, after changing the percentages to their eqivalent decimal amounts, for the total amount of interest paid: x(0.1) + ($16000-x)(0.08) = $1,390 Simplify and solve for x. 0.1x + $1,280 - 0.08x = $1,390 Combine like-terms. 0.02x + $1.280 = $1,390 Subtract $1,280 from both sides. 0.02x = $110 Divide both sides by 0.02 x = $5,500 This is the amount borrowed from the bank at 10% interest. $16,000 - x = $16,000 - $5,500 = $10,500 This is the amount borrowed from the credit union at 8% interest.

Radicals/85790: I asked this earlier and it was answered with the exact question I asked, can someone else help me please? √ x-2=1 √ x^3=27 3√ X^2=9 I couldnt copy and past the square root symbol so I hope you know that is what I meant. Can someone solve these? 1 solutions Answer 61973 by Earlsdon(6287)   on 2007-06-19 16:33:49 (Show Source): You can put this solution on YOUR website! Solve for x: 1) Square both sides. Add 2 to both sides. 2) Is this supposed to be the square root or the cube root? If it's the cube root, then evaluate cube root (x^3) = x. If it's the square root, then square both sides. Now take the cube root of both sides. 3) Divide both sides by 3. Evaluate

Linear_Algebra/85632: The directions say "Is the relationship shown by the data linear? If it is, model the data with an equation." The problem looks like this: X Y 2 3 3 7 4 11 5 15 I have no idea what to do and no book to look to for help. Thanks. 1 solutions Answer 61832 by Earlsdon(6287)   on 2007-06-18 11:36:37 (Show Source): You can put this solution on YOUR website! One approach is to plot the given points (x, y) on coordinate graph paper and then work out the equation for the line or curve. Let's see what the graph might look like when we plot the given points: (x, y) ------ (2, 3) (3, 7) (4, 11) (5, 15)

Money_Word_Problems/85533: A puppy and a kitten can be selected from 15 puppies and 12 kittens in ____ ways? A. 27 B. 180 C. 150 D. 120 How is this problem figured?? 1 solutions Answer 61776 by Earlsdon(6287)   on 2007-06-17 10:09:13 (Show Source): You can put this solution on YOUR website! Think of it this way...for every puppy, you have a choice of 12 kittens, so with 15 puppies you have a choice of 15 X 12 or 180 different choices.

Exponents-negative-and-fractional/85471: This question is from textbook algebra I am having to multiply the fractions, please show me how to do this. 2x^2-x-3 3x^2-11x-20 ________ x ___________ 3x^2+7x+4 4x^2-9 I really need the help, thanks 1 solutions Answer 61722 by Earlsdon(6287)   on 2007-06-15 22:58:43 (Show Source): You can put this solution on YOUR website! Multiply: It is often helpful to factor the numerators and the denominators, if possible, and cancel like-factors. Cancel like-factors as indicated, leaving you with:

Equations/85466: What is the x-intercept and y-intercept of thiis equation. 2x-3y=6? 1 solutions Answer 61691 by Earlsdon(6287)   on 2007-06-15 12:29:06 (Show Source): You can put this solution on YOUR website! Find the x- and y-intercepts of: To find the x-intercept, set y=0 and solve for x. This is the x-intercept. To find the y-intercept, set x=0 and solve for y. This is the y-intercept. Check the graph below and you will see this:

Polynomials-and-rational-expressions/85465: Hi wondering if someone can solve these problems:These are multiplying and dividing rational expressions. y^2-2y+1 over y^2 -1 times 2y^2 + y-1 over 5y -5 and another one 8x + 8y over x^2 divided by x^2-y^2 over x^2 thanks for any help you can offer 1 solutions Answer 61690 by Earlsdon(6287)   on 2007-06-15 12:23:02 (Show Source): You can put this solution on YOUR website! 1) Multiply: You can often simplfy problems such as this by factoring the numerators and denominators, where possible, and canceling like-factors. Cancel like-factors. ...and you are left with: 2) Divide: Simplify this to: Cancel the 's leaving you with: Now factor the numerator and denominator and cancel like-factors.

Radicals/85463: Hello, I've been trying to solve this equation but it seems I can only get down to simplifying it. Please help =) SOLVE THE EQUATION SYMBOLICALLY sqrt(x+6) + sqrt(2-x) = 4 1 solutions Answer 61688 by Earlsdon(6287)   on 2007-06-15 11:57:06 (Show Source): You can put this solution on YOUR website! Solve: First, separate the square roots. Subtract from both sides. Next, square both sides. Simplify so that you have only the radical (or a multiple thereof) on one side. Add x to both sides. Subtract 18 from both sides. Now square both sides again. Simplify this so that you have a quadratic equation in standard form. Add 64x to both sides. Subtract 128 from both sides. Factor out a 4 to simplify this. Now factor the parentheses. Applying the zero products principle, you get the double root: Check: Set x = -2. Simplify.

Linear-equations/84932: Find the slope of any line perpendicular to the line through points (7, 15) and (8,2). 1 solutions Answer 61190 by Earlsdon(6287)   on 2007-06-10 19:31:06 (Show Source): You can put this solution on YOUR website! First, you'll recall that perpendicular lines have slopes that are the negative reciprocal of each other. So you need to find the slope of the line passing through the given points (7, 15) and (8, 2) using the slope formula: (7, 15) = (,) (8, 2) = (,) Making the appropriate substitutions, you get: Now you need the negative reciprocal of , and this is: , so... The slope of any line perpendicular to the line through the points (7, 15) and (8, 2) is:

Distributive-associative-commutative-properties/84933: -(-6m-2K-8) I don't understand what to do when there is only a negative sign at the beginning of the problem with no number next to it. Thanks. 1 solutions Answer 61189 by Earlsdon(6287)   on 2007-06-10 19:15:27 (Show Source): You can put this solution on YOUR website! Simplify: When a negative sign appears in front of an expression in parentheses, it's like putting a -1 in front, so you multiply, using the distributive property, all the terms inside the parenthese by -1. This means, of course, that you change the sign of every term, so you get:

Sequences-and-series/84882: Please help me to figure out this word problem. Thank you. Suppose an employee recieves a wage of 1 cent for the first day of work, 2 cents the second day, 4 cents the third day, and so on in a geometric sequence. Find the total amount of money earned for working 30 days. 1 solutions Answer 61163 by Earlsdon(6287)   on 2007-06-10 10:30:13 (Show Source): You can put this solution on YOUR website! A sequence of numbers each of which is progressively increased by the same factor, in this case, the factor is 2, is known as a geometric progression. +...+ It can be shown that the sum of all the terms in such a progression is given by: In your problem, n = 30 (the number of days), so, the total number of cents (S) received for 30-days work would be: cents. Multiply by 100 to find the number of dollars. The employee receives $10,737,418.23 for 30-days work.

Human-and-algebraic-language/84879: If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number. Find the number. I set it up like x/6 +2x = x-8, but when I check it it doesn't equal. 1 solutions Answer 61162 by Earlsdon(6287)   on 2007-06-10 10:09:11 (Show Source): You can put this solution on YOUR website! Your initial set-up is quite ok! Simplify by multiplying through by 6. Combine like-terms. Subtract 6x from both sides. Finally, divide both sides by 7. Check: Substitute Simplify. It checks!

Linear-systems/84834: This question is from textbook how does when solving for c, C(98/100) + [-1000-C](2/100)=0 98/100C + 2/100C-20=O These equations equal each other, but I cannot figure out the steps to find out how to get tothe second equation 1 solutions Answer 61115 by Earlsdon(6287)   on 2007-06-09 11:50:53 (Show Source): You can put this solution on YOUR website! Solve for C: Simplify. Multiply both sides by 100. Add 2000 to both sides and combine like-terms. Divide both sides by 96.

Polynomials-and-rational-expressions/84814: This question is from textbook algebra I have to factor this equation and I am having troubles doing so, can you show me how this is done step by step, -12x^3+36^2 thanks I would greatly appreciate it 1 solutions Answer 61114 by Earlsdon(6287)   on 2007-06-09 11:30:11 (Show Source): You can put this solution on YOUR website! Factor the expression (it's not an equation, no equals sign): First, look for common factors in each term. So you can factor out a -12x^2. Notice the change in the sign of the second term. Now the first factor itself can be factored: Notice that the can also be factored: . So...putting it all together, we have:

Coordinate-system/84818: I have a question that states; Determine the quadrant in which (x,y) is located so that the conditions are satisfied. x<0 and y=4. This would be in quadrant 1, wouldn't it? 1 solutions Answer 61112 by Earlsdon(6287)   on 2007-06-09 10:54:16 (Show Source): You can put this solution on YOUR website! In which quadrant does (x<0, 4) lie? Well, if x<0 this means that x is negative, right?, so where is a point whose x- and y-coordinates are (-x, 4) If you recall, the signs of the x- and y-coordinates (x, y) go like this: In quadrant I (+, +) In quadrant II (-, +) In quadrant III (-, -) In quadrant IV (+, -) So, a point with coordinates (-x, 4) or (-, +) would lie in quadrant II

Sequences-and-series/84832: Please, assist me in this math problem. THANKS! Find fractional notation for each infinite sum. 0.454545... and 1.36666... 1 solutions Answer 61111 by Earlsdon(6287)   on 2007-06-09 10:42:54 (Show Source): You can put this solution on YOUR website! Here's a way to do these: 1) Write 0.454545... as a fraction. Let n = 0.454545... Multiply both sides by 100. 100n =45.454545... Subtract the first equation from the second equation. 99n = 45 Finally, divide both sides by 99 n = 45/99...but n = 0.454545..., so 0.454545...= 45/99 = 5/11 Check this on your calculator! 2) Write 1.3666... as a fraction. Let n = 1.3666... Multiply both sides by 10. 10n = 13.666... Multiply both sides by 10 again. 100n = 136.666... Now subtract 10n from 100n 90n = 123 Finally divide both sides by 90. n = 123/90...but n = 1.3666... so 1.3666... = 123/90 = 41/30 Check this on your calculator!

Equations/84691: My Problem is to: Write The verbal sentence as an equation. Then Solve The Equation, Twenty Minus the product of 4 and a number is 4. ^^^^ Any help with this question would be greatly appreciated=) 1 solutions Answer 61012 by Earlsdon(6287)   on 2007-06-07 11:05:31 (Show Source): You can put this solution on YOUR website! Twenty minus (20 -) the product of four and a number (4n) is (=) four (4) is written algebraically as: 20-(4n) = 4 Subtract 4 from both sides. 16-4n = 0 Now add 4n to both sides. 16 = 4n Finally, divide both sides by 4. 4 = n or n = 4

Expressions-with-variables/84685: solve using Q. F. Formula x=-b+- sq b-4ac/2a 2x^2+x-1=0 the answer is 1/2,1 I'm new to these so please help....thanks! 1 solutions Answer 61011 by Earlsdon(6287)   on 2007-06-07 10:59:54 (Show Source): You can put this solution on YOUR website! Solve using the quadratic formula: Here, a = 2, b = 1, and c = -1 So, making the appropriate substitutions, we get: Now simplify this. or or Note the negative on the 1.

Square-cubic-other-roots/84593: Is the following binomial a difference of squares? 9a^2-8b^2 1 solutions Answer 60939 by Earlsdon(6287)   on 2007-06-06 11:54:11 (Show Source): You can put this solution on YOUR website! Is the binomial a difference of squares? Look at the first term:. Take the square root: the first term is a perfect square. Now look at the second term: . Take the square root: the second term is not a perfect square, so the binomial is not the difference of squares.

Polynomials-and-rational-expressions/84595: Hello, I am having some difficulties figuring out exactly what I need to do with this problem Simplify the complex fraction. p^-1 +pq^-2 Here is what I have been able to do p^-1 +pq^-2 / 1 I am unsure if I need to multiply by "P" or by "PQ^-2" Thank you 1 solutions Answer 60937 by Earlsdon(6287)   on 2007-06-06 11:47:04 (Show Source): You can put this solution on YOUR website! Simplify: Rewrite with positive exponents. Add the fractions. The LCD is Simplify.

Polynomials-and-rational-expressions/84589: How do I multiply the following fraction? 2x^2-x-3/3x^2+7x+4 * 3x^2-11x-20/4x^2-9 1 solutions Answer 60936 by Earlsdon(6287)   on 2007-06-06 11:37:08 (Show Source): You can put this solution on YOUR website! Multiply: Factor all numerators and denominators. Cancel the indicated factors.