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Radicals/186806: This question is from textbook saxon algebra 2 Simplify. The square root 75 is confusing. What do you do with that? 1 solutions Answer 140025 by jim_thompson5910(28503)   on 2009-03-15 17:41:22 (Show Source): You can put this solution on YOUR website! Start with the given expression Simplify to get . Note: If you need help with simplifying square roots, check out this solver. Simplify to get . Simplify to get . Group like terms. Combine like terms. So

Graphs/186798: This question is from textbook saxon algebra 2 Evaluate the piecewise function for x=0 and x=6. f(x)={18, if x is less than 0 {7, if 0 is less than or equal to x is less than 6 {-3, if x is greater than or equal to 6 I worked it out to: when x=0, f(x)= -6 so f(0)= -6, when x=6, f(x)= -3, so f(6)= -3 Am I correct? 1 solutions Answer 140024 by jim_thompson5910(28503)   on 2009-03-15 17:38:52 (Show Source): You can put this solution on YOUR website! The piecewise function really means that ONLY when , or ONLY when , or ONLY when Since is in the interval , this means that (as this function corresponds with this interval). Also, because is in the interval (which is the third interval), this means that since this is the corresponding function to the given interval.

Radicals/186790: I need to find the cubed root of . Please show your work. Thank you 1 solutions Answer 140013 by jim_thompson5910(28503)   on 2009-03-15 16:10:37 (Show Source): You can put this solution on YOUR website! Note: and . So this means that and So

Square-cubic-other-roots/186786: Could someone help me with this one; sqrt(-25)sqrt(-9) My answer was 15, but it got marked wrong on my test, but sqrt(-25)=-5 and sqrt(-9)=-3 and -5*-3=15 so I dont really understand why its wrong. 1 solutions Answer 140004 by jim_thompson5910(28503)   on 2009-03-15 15:17:58 (Show Source): You can put this solution on YOUR website! Note: and since you CANNOT take the square root of a negative number. Instead, we denote the value where 'i' is an imaginary number. So... This means that So you were off by a sign.

Square-cubic-other-roots/186777: Could someone help me out here? I understand how to simplify sqrt(3/25) but how do you simplify; sqrt(a^2)/sqrt(b^5) or sqrt(a/b)sqrt(a^2)/(b^2) 1 solutions Answer 139999 by jim_thompson5910(28503)   on 2009-03-15 14:57:21 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get Break up the square root. Take the square root of to get 'a'. Take the square root of to get 'b' Multiply Multiply BOTH the numerator and denominator by Multiply by itself to get 'b' Multiply So where both 'a' and 'b' are positive.

Systems-of-equations/186755: 2x+4y=12 x +y= 4 answer: (2,2) i need a full break down on how my text book got 2,2 as a solution 1 solutions Answer 139993 by jim_thompson5910(28503)   on 2009-03-15 14:44:37 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the second equation by -2. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Divide both sides by to isolate . Reduce. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the solutions are and . Which form the ordered pair . This means that the system is consistent and independent. Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer. Graph of (red) and (green)

Rectangles/186761: This question is from textbook A Survey of Mathematics with Application Find the volume of a rectangular bread box that is 9 inches tall and has a base that is 18 inches by 12 inches. 1 solutions Answer 139986 by jim_thompson5910(28503)   on 2009-03-15 14:07:49 (Show Source): You can put this solution on YOUR website! Volume = Length * Width * Height Volume = 18 * 12 * 9 Volume = 216 * 9 Volume = 1,944 So the volume of the rectangular bread box is 1,944 cubic inches.

real-numbers/186769: Which is a irrational number the square root of 5, the square root, of 9, the square root of -1, or the square root of 2 thirds 1 solutions Answer 139985 by jim_thompson5910(28503)   on 2009-03-15 14:03:59 (Show Source): You can put this solution on YOUR website! is irrational (since it CANNOT be written as a fraction of integers) which is rational since which is complex (ie not real) is irrational as it can't be written as a fraction of 2 integers.

Systems-of-equations/186754: 2x-3y= 7 3x+7y= -1 answer (2,-1) need a break down of how my text book got the solutions 2, -1 1 solutions Answer 139984 by jim_thompson5910(28503)   on 2009-03-15 13:36:28 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by 3. Distribute and multiply. Multiply the both sides of the second equation by -2. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Divide both sides by to isolate . Reduce. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the solutions are and . Which form the ordered pair . This means that the system is consistent and independent. Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer. Graph of (red) and (green)

Equations/186744: my daughter has brought home her homework but left her book at school. Can you help? All the questions are similar so i would just need help with a couple to get started. Thanks -2x-4=3x-19 -3-2x=-7x+57 -3x+2=-5x+16 4-6x=x+32 1 solutions Answer 139982 by jim_thompson5910(28503)   on 2009-03-15 13:32:52 (Show Source): You can put this solution on YOUR website! # 1 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 . Reduce. ---------------------------------------------------------------------- Answer: So the answer is # 2 Start with the given equation. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is # 3 Start with the given equation. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is # 4 Start with the given equation. Subtract from 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 . Reduce. ---------------------------------------------------------------------- Answer: So the answer is

real-numbers/186706: This is the last question for an assignment. My mind is mush at this time, can someone please help? It is a three part question. The instructor wants us to write three (3) quadratic equations with a,b,and c (coefficients of x^2, x, and the constant) as: 1: Integers, 2: Rational numbers, and 3: Irrational numbers. I need this by 3 a.m. central time. Please help! This is for Intermediate Algebra and does not come from a book that I know of. 1 solutions Answer 139960 by jim_thompson5910(28503)   on 2009-03-15 00:43:03 (Show Source): You can put this solution on YOUR website! Remember, all quadratics are of the form So when they say that they want the values of 'a', 'b' and 'c' to be integers, they just want them to be whole numbers. So we could say that , , and to get For rational values, just substitute in fractions for 'a', 'b' and 'c' Finally, for irrational values, just plug in non perfect square roots such as , and into 'a', 'b' and 'c'

Rational-functions/186689: x^-4-3x^-2-4=0 1 solutions Answer 139950 by jim_thompson5910(28503)   on 2009-03-14 21:58:03 (Show Source): You can put this solution on YOUR website! Start with the given equation. Let . So this means that Replace with . Replace with Notice we have a quadratic equation in the form of where , , and Let's use the quadratic formula to solve for z Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . Take the square root of to get . or Break up the expression. or Combine like terms. or Simplify. ---------------------------------------- Start with the first solution Plug in Rewrite the left side with a positive exponent. Multiply both sides by . Divide both sides by 4 and rearrange the equation or Take the square root of both sides (don't forget the plus/minus) or Take the square root of to get So the first two solutions are or ----------------------------------------------- Start with the second solution Plug in Rewrite the left side with a positive exponent. Multiply both sides by Divide both sides by -1 and rearrange the equation. or Take the square root of both sides (don't forget the plus/minus) or Simplify (note: So the next two solutions are or ================================================= Answer: So the solutions are , , or

Rational-functions/186688: 1+3/x=5/x^2 1 solutions Answer 139946 by jim_thompson5910(28503)   on 2009-03-14 21:22:46 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply EVERY term by the LCD to clear out the fractions. Subtract 5 from both sides. Notice we have a quadratic equation in the form of where , , and Let's use the quadratic formula to solve for x Start with the quadratic formula Plug in , , and Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . or Break up the expression. So the answers are or which approximate to or

Rational-functions/186687: 1-13/x+36/x^2=0 1 solutions Answer 139945 by jim_thompson5910(28503)   on 2009-03-14 21:18:35 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply EVERY term by the LCD to clear out the fractions. Notice we have a quadratic equation in the form of where , , and Let's use the quadratic formula to solve for x Start with the quadratic formula Plug in , , and Negate to get . 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 solutions are or

Linear-systems/186684: half of a certain number is subtracted from 26 and the result is then tripled, and the answer is 18. find the number 1 solutions Answer 139944 by jim_thompson5910(28503)   on 2009-03-14 21:09:17 (Show Source): You can put this solution on YOUR website! "half of a certain number is subtracted from 26 and the result is then tripled, and the answer is 18" translates to Start with the given equation. Divide both sides by 3. Reduce Subtract 26 from both sides. Combine like terms. Multiply both sides by -2. Multiply =============================================== Answer: So the solution is which means that the number is 40

sets-and-operations/186683: U = {1,2,3,4,5,6,7} A = {1,3,5,7} B = {1,2,3} C = {2,3,4,5,6} Find each of the following sets (C' upsidedown U A) U (C' upsidedown U B') 1 solutions Answer 139943 by jim_thompson5910(28503)   on 2009-03-14 21:02:58 (Show Source): You can put this solution on YOUR website! Since B = {1,2,3} and U = {1,2,3,4,5,6,7}, this means that B'= everything in U that is NOT in B = {4,5,6,7} Also, because C = {2,3,4,5,6} and U = {1,2,3,4,5,6,7}, this means C' = everything in U that is NOT in C = {1,7} Now let's evaluate . So simply find the elements that BOTH C' and A have in common: Note: the elements 1 and 7 are BOTH in C' and A ----------------------------------------------- Now evaluate . So simply find the elements that BOTH C' and B' have in common: Note: 7 is the only element that is BOTH in C' and B So then becomes combine them to get Answer: So this means that

sets-and-operations/186680: Set Operations and Venn Diagrams with three sets Find each of the following sets (C' backwards U A) U (C' backwards or upsidedown U B') 1 solutions Answer 139941 by jim_thompson5910(28503)   on 2009-03-14 20:28:55 (Show Source): You can put this solution on YOUR website! Looking at notice how there is the common term C' and the alternation of set operators and . This means that the distributive property can be used here: So

Complex_Numbers/186677: how do you solve 3x+8yi=15-32i 1 solutions Answer 139940 by jim_thompson5910(28503)   on 2009-03-14 20:18:29 (Show Source): You can put this solution on YOUR website! The equation means that Real part of the left side = Real part of the right side and Imaginary part of the left side = Imaginary part of the right side This means that and So ---> and ---> ---> So and

Complex_Numbers/186676: how do you simplify 5√(-6)*4√(-10) 1 solutions Answer 139939 by jim_thompson5910(28503)   on 2009-03-14 20:15:45 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor -6 into -1*6. Factor -10 into -1*10 Break up the square root. Replace the square root of -1 with 'i' (note: ) Rearrange the terms. Multiply 'i' and 'i' to get Replace with -1. Remember, since , then Rearrange the terms again Multiply Combine the roots. Multiply Factor 60 into 4*15. Note: one factor is a perfect square Break up the square root. Take the square root of 4 to get 2 Multiply So

Pythagorean-theorem/186672: I need a day-to-day example using the Pythagorean theorem. I cant come up with anything. My mind is completely blank. Can anyone help me??? Thank you! 1 solutions Answer 139937 by jim_thompson5910(28503)   on 2009-03-14 19:33:48 (Show Source): You can put this solution on YOUR website! Let's say that you have a ladder resting against a wall. You know that the ladder is 10 feet long (it says so on the ladder itself) and you know that the ladder reaches 8 feet on the wall (ie the 8 ft mark on the wall) since there's a tape measure that runs from the ceiling to the floor. Now the question is: How far is the base of the ladder from the wall? Just as a visual guide, here's what the problem would look like: Now let's say that you want to solve this problem: Solution: Since the legs are and this means that and Also, since the hypotenuse is , this means that . Start with the Pythagorean theorem. Plug in , , Square to get . Square to get . Subtract from both sides. Combine like terms. Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense). Simplify the square root. ================================================================ Answer: So the solution is . This means that the base of the ladder is 6 ft from the wall.

Radicals/186671: solve, step by step √(x+5)+√(2x+3)=9 √=square root ( )=what is under the square roots 1 solutions Answer 139936 by jim_thompson5910(28503)   on 2009-03-14 19:27:49 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Square both sides FOIL Combine like terms. Subtract 84 from both sides. Subtract 2x from both sides. Combine like terms. Square both sides FOIL and square the right side Distribute Get everything to the left side. Combine like terms. Notice we have a quadratic equation in the form of where , , and Let's use the quadratic formula to solve for x Start with the quadratic formula Plug in , , and Negate to get . 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 possible answers are or However, if you plug in , the original equation will NOT be true. So is NOT a solution =========================================================== Answer: So the solution is

Exponential-and-logarithmic-functions/186664: i really need help on these problems.. thank you :) describe how the graph of the function is related to the graph of its parent function. y = 3^x-4 Write the logarithmic expression as a single logarithm. log a - log ab expand the logarithm log y^2/z write the experssion as a single natural log 5 ln a + 3 ln b 1 solutions Answer 139935 by jim_thompson5910(28503)   on 2009-03-14 19:20:54 (Show Source): You can put this solution on YOUR website! I'll do the first two to get you going in the right direction. # 1 I'm assuming that the equation is . The parent function is which looks like Graph of and the function is simply the parent function shifted down 4 units like this Graph of (red) and (green) # 2 Start with the given expression. Combine the logs using the identity Cancel out the common terms. So where and

Complex_Numbers/186670: how do you solve, step by step,: x(2+6i)+y(3+8i)=-6-14i? 1 solutions Answer 139933 by jim_thompson5910(28503)   on 2009-03-14 19:12:44 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute Rearrange and group like terms. This means that (this is the real part) and (this is the imaginary part) So all that you have to do is solve the system to find 'x' and 'y'

Polynomials-and-rational-expressions/186669: This is a problem I need help with.[(1/9)+(1/3x)] / [(x/9)-(1/x)] 1 solutions Answer 139931 by jim_thompson5910(28503)   on 2009-03-14 19:06:59 (Show Source): You can put this solution on YOUR website! In order to simplify let's simplify the numerator and denominator separately first Simplifying the numerator : Start with the numerator. Take note that the LCD Multiply the first fraction by Multiply the second fraction by Add the fractions. So where ---------------------------------------------------------- Simplifying the denominator : Start with the denominator. Take note that the LCD Multiply the first fraction by Multiply the second fraction by Subtract the fractions. So where --------------------------------------------------------------- Now that we've simplified the numerator of , we then get: Start with the simplified expression. Multiply the first fraction by the reciprocal of the second fraction. Factor to get Combine the fractions. Highlight the common terms. Cancel out the common terms. Simplify ================================================================== Answer: So simplified to which in turn simplified to So in short, simplifies to In other words, where , , or

test/186666: do you tutors have a website in which you provide tutoring for calculis problems, if so please email me a link to the website 1 solutions Answer 139929 by jim_thompson5910(28503)   on 2009-03-14 18:56:04 (Show Source): You can put this solution on YOUR website! Here's one site that I found: S.O.S. Math Cyberboard - Calculus

Exponential-and-logarithmic-functions/186668: Write an exponential function for a graph that includes the given points. 1.)(–1, 5),(0.5, 40) 1 solutions Answer 139928 by jim_thompson5910(28503)   on 2009-03-14 18:44:07 (Show Source): You can put this solution on YOUR website! Start with the general exponential equation. Plug in and Note: this is the point (-1,5) Rewrite the right side with a positive exponent Solve for 'a' ----------------------- Go back to the first equation Plug in and Note: this is the point (0.5, 40) Plug in Multiply by adding the exponents. Add Divide both sides by 5. Reduce and rewrite 1.5 as Square both sides. Square 8 to get 64 Take the cube root of both sides Take the cube root of 64 to get 4 -------------------------- Go back to the first isolated equation Plug in Multiply =========================== Answer: So the exponential function that goes through (–1, 5),(0.5, 40) is

Polynomials-and-rational-expressions/186667: Please respond to this problem. I really need your help !! The problem is 1/9+1/3x/x/9-1/x=. 1 solutions Answer 139927 by jim_thompson5910(28503)   on 2009-03-14 18:37:01 (Show Source): You can put this solution on YOUR website! There are two many division signs and no parenthesis. Which terms are the numerator? Is the expression (1/9+1/3x)/(x/9-1/x) ??? Please repost with parenthesis.

Polynomials-and-rational-expressions/186665: I need help on two(2) problems; Please!! they are (3/x+1)+(2/x-1)= and the next one is (1/9+1/3x)(x/9-1/x)= 1 solutions Answer 139926 by jim_thompson5910(28503)   on 2009-03-14 18:35:25 (Show Source): You can put this solution on YOUR website! # 1 Start with the given expression. Multiply the first fraction by Distribute Multiply the second fraction by Distribute Combine the fractions. Combine like terms. So where or --------------------------------------------------------------- # 2 Start with the given expression. FOIL the expression Note: use the formula to FOIL Multiply So

Finance/186659: I need help with a Pre-Algebra problem and it says: identify the domain and range of the relation. Then tell whether the relation is a function. Here is the table x| -2 | -1 | 3 | -5 | -8 | -------------------------- Y| 5 | -2 | 5 | -2 | -2 | 1 solutions Answer 139918 by jim_thompson5910(28503)   on 2009-03-14 15:29:03 (Show Source): You can put this solution on YOUR website! Domain: All possible inputs (ie x values): {-2, -1, 3, -5, -8} Range: All possible outputs (y values): {5, -2, 5, -2, -2} Now look at the domain. Do you see any repeated x values? Since there are no repeated x values, this means that this relation is a function.

Square-cubic-other-roots/186657: sqrt 60 1 solutions Answer 139916 by jim_thompson5910(28503)   on 2009-03-14 15:03:27 (Show Source): You can put this solution on YOUR website! So

Expressions-with-variables/186604: 7x+3y/3x-x+10y/3x 1 solutions Answer 139873 by jim_thompson5910(28503)   on 2009-03-13 22:51:17 (Show Source): You can put this solution on YOUR website! Start with the given expression. Combine the fractions. Distribute Combine like terms. So where