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jim_thompson5910 answered: 28465 problems
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Complex_Numbers/335421: What is 2/3+i equivalent to?? I've forgotten complex number operations! 1 solutions Answer 240408 by jim_thompson5910(28476)   on 2010-08-26 19:14:03 (Show Source): You can put this solution on YOUR website! Start with the given expression. Multiply the fraction by . Combine the fractions. Distribute. FOIL the denominator. Multiply. Replace with -1. Rewrite -(-1) as +1 Combine like terms. Break up the fraction. Reduce. So . So the expression is now in standard form where and

Graphs/335404: Which of the following is not a step used when graphing the equation y = x + 4 using the slope-intercept method? Explain the correct order of steps needed to graph this equation, using the slope-intercept method. Plot the y-intercept (0, 4). Draw a line through the two points. Count up 1 and right 3 from the y-intercept. Plot the x-intercept (−12, 0). 1 solutions Answer 240394 by jim_thompson5910(28476)   on 2010-08-26 18:53:01 (Show Source): You can put this solution on YOUR website! The correct order is: 1) Plot the y-intercept (0, 4). This is given since b=4 (from y=mx+b) 2) Plot the x-intercept (−12, 0). You can find this by plugging in y=0 and solving for x 3) Draw a line through the two points. Since "Count up 1 and right 3 from the y-intercept." refers to a graph with a slope of , but has a slope of 1. So this step is invalid.

Distributive-associative-commutative-properties/335401: 14(b+3)+8b 1 solutions Answer 240391 by jim_thompson5910(28476)   on 2010-08-26 18:46:58 (Show Source): You can put this solution on YOUR website! Start with the given expression. Distribute. Multiply 14 and 3 to get 42. Combine like terms. So

Square-cubic-other-roots/335300: I need to correct this problem and basically write the correct answer I have a hard time remembering how to do all the switching and flipping on fractions so if you can help me I would really appreciate it Thanks for the help! 1 solutions Answer 240330 by jim_thompson5910(28476)   on 2010-08-26 14:37:15 (Show Source): You can put this solution on YOUR website! Hint: If you have the equation , you can cross multiply to get So in your case, cross multiply to get .

Square-cubic-other-roots/335297: How do you write this so that there isn't a fraction in a fraction? (I tried to use the formula to make it show up better but it wouldn't work, so hopefully this way appears right) 1 --------- 1-(x/y) Thanks for the help! 1 solutions Answer 240328 by jim_thompson5910(28476)   on 2010-08-26 14:35:43 (Show Source): You can put this solution on YOUR website! I'm assuming you're trying to write correct? Take note that the LCD of the terms in the denominator is 'y'. So multiply EVERY term by 'y' to get Take note that the 'y' in the denominator of cancels out So after multiplication and simplification, we're left with: So simplifies to In other words, where

Equations/335218: 2x - 6y + 2z - 5x - 3y + 8z 1 solutions Answer 240262 by jim_thompson5910(28476)   on 2010-08-26 10:17:43 (Show Source): You can put this solution on YOUR website! Start with the given expression. Group like terms Combine like terms. So

Graphs/335012: how do you graph y=6/5x-2 1 solutions Answer 240073 by jim_thompson5910(28476)   on 2010-08-25 18:19:07 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 6 and the run is 5. This means that to go from point to point, we can go up 6 and over 5 So starting at , go up 6 units and to the right 5 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Exponents-negative-and-fractional/335004: How do you work out this problem? 125^1/3 1 solutions Answer 240068 by jim_thompson5910(28476)   on 2010-08-25 18:10:11 (Show Source): You can put this solution on YOUR website! So

Complex_Numbers/334996: find the real common solution for -3x^2+18x-12 1 solutions Answer 240062 by jim_thompson5910(28476)   on 2010-08-25 17:55:23 (Show Source): You can put this solution on YOUR website! Use the quadratic formula to get: Solved by pluggable solver: Quadratic Formula Let's use the quadratic formula to solve for x: Starting with the general quadratic the general solution using the quadratic equation is: So lets solve ( notice , , and ) Plug in a=-3, b=18, and c=-12 Square 18 to get 324 Multiply to get Combine like terms in the radicand (everything under the square root) Simplify the square root (note: If you need help with simplifying the square root, check out this solver) Multiply 2 and -3 to get -6 So now the expression breaks down into two parts or Now break up the fraction or Simplify or So the solutions are: or

Quadratic_Equations/334995: How do i work out 16x2-8x+1=0 and also 2x2=4x+1 1 solutions Answer 240059 by jim_thompson5910(28476)   on 2010-08-25 17:53:56 (Show Source): You can put this solution on YOUR website! Get every term to one side and use the quadratic formula to solve for 'x'. I'll work out the first problem. I'm using this solver Solved by pluggable solver: Quadratic Formula Let's use the quadratic formula to solve for x: Starting with the general quadratic the general solution using the quadratic equation is: So lets solve ( notice , , and ) Plug in a=16, b=-8, and c=1 Negate -8 to get 8 Square -8 to get 64 (note: remember when you square -8, you must square the negative as well. This is because .) Multiply to get Combine like terms in the radicand (everything under the square root) Simplify the square root (note: If you need help with simplifying the square root, check out this solver) Multiply 2 and 16 to get 32 So now the expression breaks down into two parts or Lets look at the first part: Add the terms in the numerator Divide So one answer is Now lets look at the second part: Subtract the terms in the numerator Divide So another answer is So our solutions are: or which means we only have one solution Again, if you need more help with the quadratic formula, see this solver

Exponents/334990: I not sure if this is the correct topic but, I am working on Intergers as Exponents in Algebra II. The question is how do you know how to simplify problems such as 4k^-5 and 3^-3y^-5 and how to you turn them into fractions? 1 solutions Answer 240057 by jim_thompson5910(28476)   on 2010-08-25 17:47:48 (Show Source): You can put this solution on YOUR website! Hint: where 'k' is some positive number. So for instance, . Also, keep in mind that whole numbers are just fractions with denominators of 1. So , , and

Number-Line/334983: how do i graph "all integers that are 5 or less units from 0" on a number line? 1 solutions Answer 240054 by jim_thompson5910(28476)   on 2010-08-25 17:35:04 (Show Source): You can put this solution on YOUR website! Simply shade the portion of the number line from -5 to 5 and include the endpoints (by use of closed circles) like so: Graph of the solution set Note: There is a closed circle at which means that we're including this value in the solution set Also, there is a closed circle at which means that we're including this value in the solution set. From the graph, we can see that every number that lies in the blue region is at most 5 units away from 0.

Human-and-algebraic-language/334981: The maximum healthy body fat percentage for a woman is 26%. If a woman weighs 150lb, what is the maximum number of pounds of fat should she have? 1 solutions Answer 240050 by jim_thompson5910(28476)   on 2010-08-25 17:24:35 (Show Source): You can put this solution on YOUR website! Take 26% of 150 by multiplying 150 by 0.26 (move the decimal point on 26% to the left two spots) to get 150(0.26) = 39 So the max number of pounds of fat for a 150 lb woman should be 39 lbs

Linear-equations/334969: how do you find the slope for the problem... slope of 1/2 and through the points (4, -1) 1 solutions Answer 240046 by jim_thompson5910(28476)   on 2010-08-25 17:20:54 (Show Source): You can put this solution on YOUR website! The slope is already given and it's 1/2. I'm sure there's a typo somewhere.

Number-Line/334979: how do i "graph all real numbers that are 5 or less units from 0" on a number line? 1 solutions Answer 240043 by jim_thompson5910(28476)   on 2010-08-25 17:18:04 (Show Source): You can put this solution on YOUR website! Simply shade the portion of the number line from -5 to 5 and include the endpoints (by use of closed circles) like so: Graph of the solution set Note: There is a closed circle at which means that we're including this value in the solution set Also, there is a closed circle at which means that we're including this value in the solution set. From the graph, we can see that every number that lies in the blue region is at most 5 units away from 0.

Polynomials-and-rational-expressions/334977: Write the polynomial subtraction in vertical form first, then preform the distribution by -1 and rewrite as addition. (6x^3 -5x -4) - (2x^2 - 8x + 3) I dont know if 6x^3 can be lined up with 2x^2 or not. I dont think they can since the powers are not the same. Can you help? 1 solutions Answer 240042 by jim_thompson5910(28476)   on 2010-08-25 17:15:31 (Show Source): You can put this solution on YOUR website! No, 6x^3 and 2x^2 are not like terms. So you cannot add them. So it doesn't make sense to stack the two vertically. (6x^3 -5x -4) - (2x^2 - 8x + 3) ... Start with the given expression 6x^3 -5x -4 -2x^2 + 8x - 3 ... Distribute. 6x^3 +0x^2-5x -4 -2x^2 + 8x - 3 ... Add a 0x^2 term in between the first two terms. Now stack the first four terms over the last three. 6x^3+0x^2 -5x -4 -2x^2 +8x -3 Now simply add the terms that line up. I'll let you do that.

Geometry_Word_Problems/334972: How do I find the Area of a patio that is 16 feet wide and 24 feet long 1 solutions Answer 240039 by jim_thompson5910(28476)   on 2010-08-25 17:09:11 (Show Source): You can put this solution on YOUR website! Area = Length * Width = 24*16 = 384 square feet.

Numeric_Fractions/334970: IS 8/3 >2? 1 solutions Answer 240037 by jim_thompson5910(28476)   on 2010-08-25 17:08:21 (Show Source): You can put this solution on YOUR website! Simply multiply both sides by 3 to get which then becomes . Since this inequality is true, this means that is also true.

Probability-and-statistics/334905: 10^p4 1 solutions Answer 239979 by jim_thompson5910(28476)   on 2010-08-25 14:46:38 (Show Source): You can put this solution on YOUR website! I assume you mean 10 P 4 (where the P is elevated above the two numbers). I'm going to denote it as P(10, 4) P(10,4) = (10!)/(10-4)! = (10!)/(6!) = (10*9*8*7*6!)/(6!) = 10*9*8*7 = 90*56 = 5040 So P(10, 4) = 5040 See this solver for more help with permutations.

Numeric_Fractions/334902: f(x)= (x+5)(x-5) 1 solutions Answer 239976 by jim_thompson5910(28476)   on 2010-08-25 14:32:02 (Show Source): You can put this solution on YOUR website! So

Angles/334897: What is the complement of an obtuse angle? ex. m angle A = 158. The supplement of angle A = 22 since 158+22=180, 180-158=180, etc. What would the complement be? Would it be 112 since 112+158=270 which gives a right angle (360-270=90) What is the complement of the obtuse angle A? Thanks in advance 1 solutions Answer 239973 by jim_thompson5910(28476)   on 2010-08-25 14:01:41 (Show Source): You can put this solution on YOUR website! Complementary angles add to 90 degrees. So if two angles are complementary, then they are acute (ie less than 90 degrees). So it's not possible for an obtuse angle to have a complementary angle.

Numbers_Word_Problems/334610: what does the word consecutive whole number mean? 1 solutions Answer 239761 by jim_thompson5910(28476)   on 2010-08-24 17:29:28 (Show Source): You can put this solution on YOUR website! Consecutive whole numbers (or integers) are numbers that directly follow one another. Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.

Money_Word_Problems/334611: if i earn 6 dollars an hour how long do i have work for 120 dollars 1 solutions Answer 239760 by jim_thompson5910(28476)   on 2010-08-24 17:28:00 (Show Source): You can put this solution on YOUR website! In one hour, you will make 6*1 = 6 dollars. In two hours, you will make 6*2 = 12 dollars. ...etc So in x hours, you will make 6x dollars (6 times x) Since you want $120, this means that . Simply divide both sides by 6 (dividing by 6 undoes multiplying by 6) to solve for x and get So which means that you have to work for 20 hours to earn $120

Complex_Numbers/334587: I don't understand this expression; (4s)x2 s=3 Would it be 4 x 3 or would it be 43? 1 solutions Answer 239756 by jim_thompson5910(28476)   on 2010-08-24 17:02:22 (Show Source): You can put this solution on YOUR website! 4s means "4 times s". So if s=3, then 4s = 4*3 = 12

Distributive-associative-commutative-properties/334592: Using distibutive property 12(100)+12(3) equals what? 1 solutions Answer 239755 by jim_thompson5910(28476)   on 2010-08-24 17:01:22 (Show Source): You can put this solution on YOUR website! Note: If you multiply 12 and 103 out by hand, you'll probably use the distributive property (in some way).

Rectangles/334575: what is the trinomial area of a rectangle of (2n-5) (3n-1) 1 solutions Answer 239748 by jim_thompson5910(28476)   on 2010-08-24 16:21:11 (Show Source): You can put this solution on YOUR website! Start with the given expression. Now let's FOIL the expression. Remember, when you FOIL an expression, you follow this procedure: Multiply the First terms:. Multiply the Outer terms:. Multiply the Inner terms:. Multiply the Last terms:. Now collect every term to make a single expression. Now combine like terms. So FOILs to . In other words, . So the trinomial that represents the area is

Expressions-with-variables/334574: eight more then twice a number--------how do u make tht an algebraic expression? 1 solutions Answer 239747 by jim_thompson5910(28476)   on 2010-08-24 16:19:03 (Show Source): You can put this solution on YOUR website! "twice a number" means 2 times some unknown number, say 'x'. So "twice a number" means 2x Now add 8 to get 2x+8 (since there's "8 more") So the expression is

Polynomials-and-rational-expressions/334568: I need to know how to find out all numbers for which rational expression is not defined. Any help would be greatly appriciated. Thank you. -3 _____ 2x 1 solutions Answer 239745 by jim_thompson5910(28476)   on 2010-08-24 16:11:05 (Show Source): You can put this solution on YOUR website! Since you CANNOT divide by zero, this means that the denominator can't be zero. So . Solve for x to get So this means that 'x' can't be equal to zero. So the rational expression is not defined when x is zero.

Graphs/334566: what does y=5x+9 looke like graphed? 1 solutions Answer 239744 by jim_thompson5910(28476)   on 2010-08-24 16:08:05 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 5 and the run is 1. This means that to go from point to point, we can go up 5 and over 1 So starting at , go up 5 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Quadratic_Equations/334561: Use the quadratic formula to solve each: y^2+13y+22=0 x(2x+3)-1=0 x^2+24=0 1 solutions Answer 239736 by jim_thompson5910(28476)   on 2010-08-24 15:57:39 (Show Source): You can put this solution on YOUR website! I'll do the first to get you started. Please only post one problem at a time. Start with the given equation. Notice we have a quadratic equation in the form of where , , and Let's use the quadratic formula to solve for y 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 answers are or

Quadratic_Equations/334554: Solve each equation by factoring or by using the property if x^2=k, then x=+or-the square root of K: (4n-1)^2=16 1 solutions Answer 239731 by jim_thompson5910(28476)   on 2010-08-24 15:47:56 (Show Source): You can put this solution on YOUR website! Start with the given equation. Take the square root of both sides. or Break up the "plus/minus" to form two equations. or Take the square root of to get . or Add to both sides. or Combine like terms. or Divide both sides by to isolate . -------------------------------------- Answer: So the solutions are or .