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jim_thompson5910 answered: 28465 problems
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Equations/579012: x+9=5 1 solutions Answer 371009 by jim_thompson5910(28476)   on 2012-02-28 14:01:17 (Show Source): You can put this solution on YOUR website! x+9=5 x+9 -9 = 5 -9 x = -4 So the solution is x = -4

Polynomials-and-rational-expressions/579389: 2. Consider the following formula: y = 3 ( x + 5 ) ( x - 2 ) Which of the following formulas is equivalent to this one?   A. y=3x2+9x-30 B. y=x2+3x-lO C. y=3x2+3x-lO D. y=3x2+3x-30 How do I go about this? 1 solutions Answer 371008 by jim_thompson5910(28476)   on 2012-02-28 13:59:59 (Show Source): You can put this solution on YOUR website! y = 3(x+5)(x-2) y = 3(x*x + x*(-2) + 5x + 5(-2)) y = 3(x^2-2x+5x-10) y = 3(x^2+3x-10) y = 3x^2+9x-30 So the answer is choice A

expressions/579383: I am so confsed here Please help Simplify: -2[-32-(9-91)] 1 solutions Answer 371006 by jim_thompson5910(28476)   on 2012-02-28 13:56:45 (Show Source): You can put this solution on YOUR website! -2[-32-(9-91)] -2[-32-(-82)] -2[-32+82] -2[50] -100 So -2[-32-(9-91)] = -100

Equations/579416: Solve for x. 5x=15 1 solutions Answer 371005 by jim_thompson5910(28476)   on 2012-02-28 13:55:41 (Show Source): You can put this solution on YOUR website! 5x=15 5x/5=15/5 x = 3 So the solution is x = 3

test/579415: Solve for x. 5x=15 1 solutions Answer 371003 by jim_thompson5910(28476)   on 2012-02-28 13:54:55 (Show Source): You can put this solution on YOUR website! 5x=15 5x/5=15/5 x = 3 So the solution is x = 3

Linear-equations/579423: what is the slope of the line passing through(0,4) and ( 2, 8) ? 1 solutions Answer 371002 by jim_thompson5910(28476)   on 2012-02-28 13:54:06 (Show Source): You can put this solution on YOUR website! Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is

Equations/579293: If 32^(a+b) = 16^(a+2b), then a = A) b B) 2b C) 3b D) b + 2 E) b - 2 I thought you're supposed to try to get a common base then try to solve but I can't seem to get it.. Thanks! 1 solutions Answer 370973 by jim_thompson5910(28476)   on 2012-02-28 11:14:03 (Show Source): You can put this solution on YOUR website! 32^(a+b) = 16^(a+2b) (2^5)^(a+b) = (2^4)^(a+2b) 2^(5(a+b)) = 2^(4(a+2b)) 5(a+b) = 4(a+2b) 5a+5b = 4a+8b 5a-4a = 8b-5b a = 3b So the answer is choice C

Equations/579332: 6(5-8m)+12=-54 I NEED AN EXSPLANATION 1 solutions Answer 370972 by jim_thompson5910(28476)   on 2012-02-28 11:11:42 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is

Equations/579334: 8z-2=3z+6 i need an exsplanation 1 solutions Answer 370970 by jim_thompson5910(28476)   on 2012-02-28 11:10:57 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the answer is which in decimal form is .

Equations/579355: 13p+19=-98 1 solutions Answer 370968 by jim_thompson5910(28476)   on 2012-02-28 11:09:20 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is

Rectangles/579340: A rectangular lawn has a length of 6 m and a width that is twice its length. What is the area of the lawn? 1 solutions Answer 370967 by jim_thompson5910(28476)   on 2012-02-28 11:07:38 (Show Source): You can put this solution on YOUR website! If the width is twice the length, then the width is 2*6 = 12 meters. So L = 6, W = 12. Use these values to find the area A: A = LW A = 6*12 A = 72 So the area of the lawn is 72 square meters.

Rectangles/579339: What is the area of a square lot having a side of 8 meters? 1 solutions Answer 370965 by jim_thompson5910(28476)   on 2012-02-28 11:06:05 (Show Source): You can put this solution on YOUR website! Area: A = s^2 A = 8^2 A = 64 So the area of the lot is 64 square meters.

Linear-equations/579073: Solveing systems by graphing: X=y+7 , y=x+7. Is this infinitely more solutions? I'm not sure if you can help me with this thanks 1 solutions Answer 370848 by jim_thompson5910(28476)   on 2012-02-27 19:19:11 (Show Source): You can put this solution on YOUR website! If you take equation 1, which is x=y+7, and solve for y, you'll get x=y+7 0 = y+7 - x -y = 7 - x y = -7 + x y = x - 7 Now compare this with equation 2) y = x+7 The slopes are equal to 1, but the y-intercepts are different. This suggests that the two lines are parallel and will never cross or intersect each other. So this is an inconsistent system. Therefore, there are no solutions.

Angles/579082: if angle 7 is 80 degrees then angle 6 is ? 1 solutions Answer 370847 by jim_thompson5910(28476)   on 2012-02-27 19:16:21 (Show Source): You can put this solution on YOUR website! We would need to know the relationship between angles 6 and 7. Are they complementary angles? Are they supplementary angles? Are they vertical angles? Or are they related in some other way?

Exponential-and-logarithmic-functions/579079: 64 to the 7/9 power divided by 4 to the 3/4 power. Having trouble showing answer of 8.98. 1 solutions Answer 370846 by jim_thompson5910(28476)   on 2012-02-27 19:14:47 (Show Source): You can put this solution on YOUR website! 64 = 4^3 So (64^7/9)/(4^3/4) = (4^(3*7/9))/(4^3/4) (64^7/9)/(4^3/4) = (4^(21/9))/(4^3/4) (64^7/9)/(4^3/4) = 4^(21/9- 3/4) (64^7/9)/(4^3/4) = 4^(19/12) (64^7/9)/(4^3/4) = 8.979696 ... Note: Use a calculator on this step.

test/579077: 1 solutions Answer 370845 by jim_thompson5910(28476)   on 2012-02-27 19:10:24 (Show Source): You can put this solution on YOUR website! Please post the full problem and its instructions. Thank you.

Equations/579037: 4b+16+2b=46 explain how you would go about solving this equation 1 solutions Answer 370843 by jim_thompson5910(28476)   on 2012-02-27 19:07:54 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

absolute-value/579074: What is |r-9|=-3 ? 1 solutions Answer 370840 by jim_thompson5910(28476)   on 2012-02-27 19:06:37 (Show Source): You can put this solution on YOUR website! The absolute value of any number is nonnegative. In other words, it's never negative. So there are no solutions to the equation |r-9|=-3

Polynomials-and-rational-expressions/578874: Please explain this to my math deficient noggin. In this example from the text book, how are the steps of simplification arrived at? Shouldn't 14x^2 be 14x^4? (5x² + 7x - 2) + (9x² - 12x +13) = (5x² + 9x²) + (7x - 12x) + (-2 + 13) = 14x² - 5x + 11 I don't understand at all how the first line becomes the seconds line, or the third line. Thanks very much. 1 solutions Answer 370808 by jim_thompson5910(28476)   on 2012-02-27 14:28:55 (Show Source): You can put this solution on YOUR website! In the second line, you're grouping like terms. Like terms are the terms that have the same variable and exponent, so for example, and are like terms because they have the common term between them. In the third line, you're combining like terms. You do this by adding/subtracting the coefficients in front of the variables.

Travel_Word_Problems/578573: how long would it take a car traveling 60 miles an hour to go 250 miles 1 solutions Answer 370807 by jim_thompson5910(28476)   on 2012-02-27 14:24:53 (Show Source): You can put this solution on YOUR website! d = rt 250 = 60t 250/60 = t 25/6 = t 4.1667 = t t = 4.1667 So it will take roughly 4.1667 hours

Miscellaneous_Word_Problems/578733: The formula for the volume of a pyramid is V=1/3 Bh. If h=16 and V=64, what does B equal? 1 solutions Answer 370776 by jim_thompson5910(28476)   on 2012-02-27 12:11:14 (Show Source): You can put this solution on YOUR website! V=1/3 Bh 3V = Bh 3(64) = B(16) 192 = 16B 192/16 = B 12 = B B = 12 So the answer is B = 12

Numeric_Fractions/578759: (-4,1)and(2,-3)= 1 solutions Answer 370775 by jim_thompson5910(28476)   on 2012-02-27 12:09:32 (Show Source): You can put this solution on YOUR website! If you want to find the equation of the line that goes through those points, then... First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Distribute Multiply Add 1 to both sides. Combine like terms. note: If you need help with fractions, check out this solver. So the equation that goes through the points and is

Polynomials-and-rational-expressions/578581: -80x^2-44x+180 1 solutions Answer 370703 by jim_thompson5910(28476)   on 2012-02-26 23:20:55 (Show Source): You can put this solution on YOUR website! I'm assuming you want to factor this. 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 : 1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900 -1,-2,-3,-4,-5,-6,-9,-10,-12,-15,-18,-20,-25,-30,-36,-45,-50,-60,-75,-90,-100,-150,-180,-225,-300,-450,-900 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to . 1*(-900) = -900 2*(-450) = -900 3*(-300) = -900 4*(-225) = -900 5*(-180) = -900 6*(-150) = -900 9*(-100) = -900 10*(-90) = -900 12*(-75) = -900 15*(-60) = -900 18*(-50) = -900 20*(-45) = -900 25*(-36) = -900 30*(-30) = -900 (-1)*(900) = -900 (-2)*(450) = -900 (-3)*(300) = -900 (-4)*(225) = -900 (-5)*(180) = -900 (-6)*(150) = -900 (-9)*(100) = -900 (-10)*(90) = -900 (-12)*(75) = -900 (-15)*(60) = -900 (-18)*(50) = -900 (-20)*(45) = -900 (-25)*(36) = -900 (-30)*(30) = -900 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 -900 1+(-900)=-899 2 -450 2+(-450)=-448 3 -300 3+(-300)=-297 4 -225 4+(-225)=-221 5 -180 5+(-180)=-175 6 -150 6+(-150)=-144 9 -100 9+(-100)=-91 10 -90 10+(-90)=-80 12 -75 12+(-75)=-63 15 -60 15+(-60)=-45 18 -50 18+(-50)=-32 20 -45 20+(-45)=-25 25 -36 25+(-36)=-11 30 -30 30+(-30)=0 -1 900 -1+900=899 -2 450 -2+450=448 -3 300 -3+300=297 -4 225 -4+225=221 -5 180 -5+180=175 -6 150 -6+150=144 -9 100 -9+100=91 -10 90 -10+90=80 -12 75 -12+75=63 -15 60 -15+60=45 -18 50 -18+50=32 -20 45 -20+45=25 -25 36 -25+36=11 -30 30 -30+30=0 From the table, we can see that the two numbers and add to (the middle coefficient). So the two numbers and both multiply to and add to Now replace the middle term with . Remember, and add to . So this shows us that . Replace the second term with . Group the terms into two pairs. Factor out the GCF from the first group. Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis. Combine like terms. Or factor out the common term -------------------------------------------------- So then factors further to =============================================================== Answer: So completely factors to . In other words, . Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).

Linear-equations/578605: graph -2x+1 1 solutions Answer 370702 by jim_thompson5910(28476)   on 2012-02-26 23:18:31 (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 -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1 So starting at , go down 2 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

Numeric_Fractions/578617: WHAT IS 2-2X-3= 1 solutions Answer 370701 by jim_thompson5910(28476)   on 2012-02-26 23:17:44 (Show Source): You can put this solution on YOUR website! 2 - 2x - 3 -2x + (2 - 3) -2x - 1 So 2 - 2x - 3 completely simplifies to -2x - 1

Probability-and-statistics/578572: John is taking a true or false quiz. There are six questions on the quiz. How many ways can the quiz be answered? 1 solutions Answer 370685 by jim_thompson5910(28476)   on 2012-02-26 21:39:54 (Show Source): You can put this solution on YOUR website! There are 2^6 = 64 different ways the quiz can be answered.

Equations/578562: 5b+7+2b=23 1 solutions Answer 370684 by jim_thompson5910(28476)   on 2012-02-26 21:39:01 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is

Probability-and-statistics/578570: to purchase a lottery ticket, you must select 4 numbers from 0 to 9. How many possible lottery tickets can be chosen? I know the answer is 10,000, but how do you get to that answer? 1 solutions Answer 370683 by jim_thompson5910(28476)   on 2012-02-26 21:38:18 (Show Source): You can put this solution on YOUR website! There are 10 digits for each slot, so there are 10*10*10*10 = 10000 possible lottery tickets.

Radicals/578508: solve 2√y + 5√y 1 solutions Answer 370665 by jim_thompson5910(28476)   on 2012-02-26 20:37:06 (Show Source): You can put this solution on YOUR website! 2√y + 5√y (2 + 5)√y 7√y So 2√y + 5√y = 7√y

Travel_Word_Problems/578379: how many hours will it take a car travelling at 70 km/h to travel 280km 1 solutions Answer 370630 by jim_thompson5910(28476)   on 2012-02-26 17:25:09 (Show Source): You can put this solution on YOUR website! d = rt 280 = 70t 280/70 = t 4 = t t = 4 So it will take 4 hours.

Rational-functions/578373: write slope intercept form of equation for the line that passes through (-10,1) has slope of 2/3 1 solutions Answer 370623 by jim_thompson5910(28476)   on 2012-02-26 17:17:13 (Show Source): You can put this solution on YOUR website! So the equation of the line is