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Rational-functions/578361: write in slope intercept form of equation for the line that passes through (-8,-8) has slope of -1/4 1 solutions Answer 370613 by jim_thompson5910(28593)   on 2012-02-26 16:56:11 (Show Source): You can put this solution on YOUR website! So the equation of the line is

Probability-and-statistics/578343: How many ways can 2 students be chosen from 10 students? 1 solutions Answer 370610 by jim_thompson5910(28593)   on 2012-02-26 16:39:36 (Show Source): You can put this solution on YOUR website! There are 10*9 = 90 different ways (assuming order matters). If order does not matter, then there are 90/2 = 45 different ways.

Linear-systems/578234: Please help me solve this linear system using the elimination method: 2x-3y=2 -5x+2y=-16 My work: 2x-3y=2 ..... 5(2x-3y=2)= 10x-15y=10 ........-5x+2y=-16 ... 2(-5x+2y=-16)=-10x+4y=-32 ...........................................-11y=-42...-11/-11= y...-42/-11=3/4 Answer I got: y=3/4 One Solution I have tried multiplying it like this: 5(2x-3y=2) and 2(-5x+2y=-16) to get rid of x, then I subtracted: -15y=10 and 4y=-32 and got -11y=-42, and to get y by its self, i divided -11 by -42 and it left me with y=3/4 and it's a one solution But I am not sure if this is correct. 1 solutions Answer 370585 by jim_thompson5910(28593)   on 2012-02-26 13:16:56 (Show Source): You can put this solution on YOUR website! You made a mistake when you added -32 to 10. You got the incorrect value of -42 when it's really -22 So it should be -11y = -22 and solving for y gets you y = 2 Now that you have this y value, use it to find x to complete the answer.

Graphs/578237: f<-3/2 name three solutions of the ineqality, then graph 1 solutions Answer 370583 by jim_thompson5910(28593)   on 2012-02-26 13:11:01 (Show Source): You can put this solution on YOUR website! -3/2 is the same as -1.5 So any number less than -1.5 will work. So numbers such as f = -2, f = -4 or f = -10 are all solutions since they are all less then -1.5 The graph looks like the following Take note that the endpoint is an open circle.

Linear-equations/578236: I have been struggling with this question for hours. I need to find an equation of a line. slope 8 (-7,6) Help! 1 solutions Answer 370576 by jim_thompson5910(28593)   on 2012-02-26 12:59:21 (Show Source): You can put this solution on YOUR website! If the slope is 8, then m = 8 If the point (-7,6) lies on the line, then x = -7 and y = 6 We can use these facts, along with the equation y = mx+b, to find the value of 'b' which will effectively give us the equation of the line y = mx+b y = 8x + b 6 = 8(-7) + b 6 = -56 + b 6 + 56 = b 62 = b b = 62 So the equation of the line is

Numeric_Fractions/578226: solve for x 2=4+2x 1 solutions Answer 370565 by jim_thompson5910(28593)   on 2012-02-26 12:25:32 (Show Source): You can put this solution on YOUR website! 2 = 4 + 2x 2 - 4 = 4 + 2x - 4 -2 = 2x -2/2 = 2x/2 -1 = x x = -1 So the solution is x = - 1

expressions/578207: evaluate 9 x (-3) 1 solutions Answer 370561 by jim_thompson5910(28593)   on 2012-02-26 12:21:33 (Show Source): You can put this solution on YOUR website! Use either a calculator or a multiplication table to get 9 x (-3) = -27 After enough practice, this should be something that is computed in your head (ie it's best to memorize this)

Equations/578210: 2y+27=5y 1 solutions Answer 370559 by jim_thompson5910(28593)   on 2012-02-26 12:17:57 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Trigonometry-basics/578216: find the reference angle for the following angle 69 degrees 1 solutions Answer 370558 by jim_thompson5910(28593)   on 2012-02-26 12:16:49 (Show Source): You can put this solution on YOUR website! This angle is in the first quadrant, so it's already a reference angle.

Travel_Word_Problems/578080: I hiked 4.7 miles in 1hr 45 minutes. How many miles per hour is that? Thanks. 1 solutions Answer 370507 by jim_thompson5910(28593)   on 2012-02-26 02:00:01 (Show Source): You can put this solution on YOUR website! 1 hr 45 min = 1.75 hours d = rt 4.7 = r(1.75) 4.7/1.75 = r 2.6857 = r r = 2.6857 So your speed is roughly 2.6857 mph

Probability-and-statistics/578077: how many ways cam 2 balls be drawm from a box containing 7 red and 6 green balls such they are both green? 1 solutions Answer 370506 by jim_thompson5910(28593)   on 2012-02-26 00:44:13 (Show Source): You can put this solution on YOUR website! There are 6*5 = 30 different ways (assuming that each green ball is uniquely marked in some way)

Equations/578076: solve for x 2=4+2x 1 solutions Answer 370505 by jim_thompson5910(28593)   on 2012-02-26 00:41:59 (Show Source): You can put this solution on YOUR website! 2 = 4 + 2x 2 - 4 = 4 + 2x - 4 -2 = 2x -2/2 = 2x/2 -1 = x x = -1 So the solution is x = - 1

Numeric_Fractions/578075: simplify 2/14+(-2/5) 1 solutions Answer 370504 by jim_thompson5910(28593)   on 2012-02-26 00:39:40 (Show Source): You can put this solution on YOUR website! 2/14+(-2/5) 2/14-2/5 1/7-2/5 (1/7)*(5/5)-(2/5)*(7/7) 5/35-14/35 (5-14)/35 -9/35 So 2/14+(-2/5) = -9/35

Equations/578074: 9x-2+2x=6 1 solutions Answer 370503 by jim_thompson5910(28593)   on 2012-02-26 00:34:21 (Show Source): You can put this solution on YOUR website! 9x-2+2x=6 11x-2=6 11x=6+2 11x=8 x=8/11 So the solution is x = 8/11

Equations/578073: -6 = 6 - 3y 1 solutions Answer 370502 by jim_thompson5910(28593)   on 2012-02-26 00:33:01 (Show Source): You can put this solution on YOUR website! -6 = 6 - 3y -6 -6 = -3y -12 = -3y -12/(-3) = y 4 = y y = 4 So the solution is y = 4

Numeric_Fractions/578072: simplify 3/4-(-5/8) 1 solutions Answer 370501 by jim_thompson5910(28593)   on 2012-02-26 00:30:35 (Show Source): You can put this solution on YOUR website! 3/4-(-5/8) 3/4+5/8 6/8+5/8 (6+5)/8 11/8 So 3/4-(-5/8) = 11/8

Polynomials-and-rational-expressions/578009: factor completely. 9x^7-45x^6+18x^5 1 solutions Answer 370499 by jim_thompson5910(28593)   on 2012-02-25 23:53:47 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the GCF . Now let's try to factor the inner expression --------------------------------------------------------------- Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is . Now multiply the first coefficient by the last term to get . Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ? To find these two numbers, we need to list all of the factors of (the previous product). Factors of : 1,2 -1,-2 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*2 = 2 (-1)*(-2) = 2 Now let's add up each pair of factors to see if one pair adds to the middle coefficient : First Number Second Number Sum 1 2 1+2=3 -1 -2 -1+(-2)=-3 From the table, we can see that there are no pairs of numbers which add to . So cannot be factored. =============================================================== Answer: So simply factors to In other words, .

Linear-equations/578031: (2,4),(x,8)=-1/2 1 solutions Answer 370498 by jim_thompson5910(28593)   on 2012-02-25 23:53:06 (Show Source): You can put this solution on YOUR website! m = (y2 - y1)/(x2 - x1) -1/2 = (8 - 4)/(x - 2) -1(x - 2) = 2(8 - 4) -x + 2 = 8 -x = 8-2 -x = 6 x = -6 So the answer is x = -6

Exponents-negative-and-fractional/578004: simplify by factoring: ^4sqrt243 1 solutions Answer 370497 by jim_thompson5910(28593)   on 2012-02-25 23:51:03 (Show Source): You can put this solution on YOUR website! So

Miscellaneous_Word_Problems/577962: A sample of 10 was chosen from a population. The sample has a variance of 0. Which of the following are true? I. The data values in the sample are equal. II. The data values in the population are equal. III. The distribution is symmetrical. 1 solutions Answer 370496 by jim_thompson5910(28593)   on 2012-02-25 23:48:28 (Show Source): You can put this solution on YOUR website! Choice I is true because a sample variance of 0 means that there is no variation or change in the values in the sample. Choice II is not necessarily true because this sample may or may not accurately reflect/represent the overall population. Choice III is true because the distribution is symmetrical about the equal data value.

expressions/578012: Which expression has the same value as 36*19 a) (30+19)*(6+19) b) (30*10)+(6*9) c) (30*19)+(6*19) d) (30+10)*(6+9) 1 solutions Answer 370495 by jim_thompson5910(28593)   on 2012-02-25 23:45:11 (Show Source): You can put this solution on YOUR website! You can express 36 as 30+6, so 36*19 = (30+6)*19 = (30*19)+(6*19) So the answer is choice C)

Travel_Word_Problems/577981: You travel 720 miles in 8 hours. What is your speed (mph)? 1 solutions Answer 370442 by jim_thompson5910(28593)   on 2012-02-25 18:41:46 (Show Source): You can put this solution on YOUR website! d = rt 720 = r(8) 720 = 8r 720/8 = 8r/8 90 = r r = 90 So your speed is 90 mph

Coordinate-system/577949: write an equation of the line with the given slope and the given y-intercept. leave the answer in slope-intercept form slope -2/3, y-intercept(0,5) 1 solutions Answer 370429 by jim_thompson5910(28593)   on 2012-02-25 17:06:08 (Show Source): You can put this solution on YOUR website!

Exponents-negative-and-fractional/577946: rewrite using positive rational exponents (x^5/2)^-2/3 1 solutions Answer 370428 by jim_thompson5910(28593)   on 2012-02-25 16:43:03 (Show Source): You can put this solution on YOUR website! (x^5/2)^(-2/3) x^((5/2)*(-2/3)) x^(-10/6) x^(-5/3) 1/(x^(5/3)) So the answer is

Expressions-with-variables/577940: Use inductive reasoning to find the next to numbers in the sequence : 9, -5, -19,-33 1 solutions Answer 370426 by jim_thompson5910(28593)   on 2012-02-25 16:30:27 (Show Source): You can put this solution on YOUR website! You are subtracting 14 from each term (since 9 - 14 = -5, -5 - 14 = -19, etc) So the next number is -33 - 14 = -47 and the number after that is -47 - 14 = -61 and the next one after that is -61 - 14 = -75 etc...

Word_Problems_With_Coins/577938: if a stamp cost $.29 how many stamps could you buy with $14.50? 1 solutions Answer 370424 by jim_thompson5910(28593)   on 2012-02-25 16:19:38 (Show Source): You can put this solution on YOUR website! You can buy 14.5/0.29 = 50 stamps

Functions/577936: How Do I Do This? f(x) = 3x - 9 1 solutions Answer 370423 by jim_thompson5910(28593)   on 2012-02-25 16:09:58 (Show Source): You can put this solution on YOUR website! What do you want to do? Do you want to graph? If so, then f(x) = 3x - 9 is the same as y = 3x - 9 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 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1 So starting at , go up 3 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

Permutations/577935: Question 1: In how many ways can a chairperson and a vice chairperson be selected from a committee of 28 senators? Can someone reply to this ASAP please. Last problem on an exam quiz. Thanks. I came up with 378? Is that correct? If I am in correct please explain what I did wrong. Thanks. 1 solutions Answer 370421 by jim_thompson5910(28593)   on 2012-02-25 16:07:23 (Show Source): You can put this solution on YOUR website! There are 28 choices for chairperson and there 28-1 = 27 choices (since you can't replace the senators once they're chosen) for the vice chairperson So there are 28*27 = 756 different ways.

Geometry_Word_Problems/577932: How many sq.ft are un 72in. 1 solutions Answer 370411 by jim_thompson5910(28593)   on 2012-02-25 15:42:31 (Show Source): You can put this solution on YOUR website! You cannot convert square feet to inches (or vice versa) because the dimensions of the two units are completely different.

Trigonometry-basics/577930: Please can you help with the following question? (sinØ+cosØ)(1-sinØcosØ)=sin^3Ø+cos^3Ø 1 solutions Answer 370410 by jim_thompson5910(28593)   on 2012-02-25 15:41:25 (Show Source): You can put this solution on YOUR website! (sin(Ø)+cos(Ø))(1-sin(Ø)cos(Ø))=sin^3(Ø)+cos^3(Ø) sin(Ø)-sin^2(Ø)cos(Ø)+cos(Ø)-sin(Ø)cos^2(Ø)=sin^3(Ø)+cos^3(Ø) sin(Ø)-(1-cos^2(Ø))cos(Ø)+cos(Ø)-sin(Ø)(1-sin^2(Ø))=sin^3(Ø)+cos^3(Ø) sin(Ø)-cos(Ø)+cos^3(Ø)+cos(Ø)-sin(Ø)+sin^3(Ø)=sin^3(Ø)+cos^3(Ø) (sin(Ø)-sin(Ø))+(-cos(Ø)+cos(Ø))+(sin^3(Ø)+cos^3(Ø))=sin^3(Ø)+cos^3(Ø) sin^3(Ø)+cos^3(Ø)=sin^3(Ø)+cos^3(Ø) So this verifies the identity.

Trigonometry-basics/577929: Please can you help with the following question? Prove that cos(Ø+90º)=-sinØ 1 solutions Answer 370409 by jim_thompson5910(28593)   on 2012-02-25 15:31:02 (Show Source): You can put this solution on YOUR website! cos(Ø+90)=-sin(Ø) cos(Ø)cos(90)-sin(Ø)sin(90)=-sin(Ø) cos(Ø)(0)-sin(Ø)(1)=-sin(Ø) -sin(Ø)=-sin(Ø) So the identity has been verified.