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Distributive-associative-commutative-properties/345510: What are the distributive properties of algebra and what are some examples ? 1 solutions Answer 247118 by Fombitz(13828)   on 2010-09-20 10:17:36 (Show Source): You can put this solution on YOUR website! . . .

test/345463: Please help me solve this equation: Prove the inequality without evaluating the integral. 1 solutions Answer 247117 by Fombitz(13828)   on 2010-09-20 10:12:27 (Show Source): You can put this solution on YOUR website! The value of the cosine function at the endpoints are, The value of the function in between the endpoints is bounded by those values. So then integrating, Substituting,

Problems-with-consecutive-odd-even-integers/345446: I would like help with this question. If the larger of two consecutive integers is subtracted from twice the smaller integer, then the result is 21. Find the integer. My book does not give me an example of how to solve this. It shows me how to find even numbers... Thank You 1 solutions Answer 247114 by Fombitz(13828)   on 2010-09-20 10:02:43 (Show Source): You can put this solution on YOUR website! Let and be the consecutive integers. is the larger. is the smaller. and Verifying,

Angles/345444: why wont a 3 legged chair wobble but a 4 legged chair will? 1 solutions Answer 247113 by Fombitz(13828)   on 2010-09-20 09:59:31 (Show Source): You can put this solution on YOUR website! Three points define a plane. Once those three points are established adding another point, that isn't in the plane, would cause an unbalance, leading to the wobble. If the 4th point is in the plane, then it wouldn't wobble either.

Volume/345448: The volume B of a box with a square base of side x and height 2x. 1 solutions Answer 247111 by Fombitz(13828)   on 2010-09-20 09:57:08 (Show Source): You can put this solution on YOUR website! The volume is,

Rectangles/345525: what is the perimeter for a rectangle with a length of 3/2 and a width of 11/4 1 solutions Answer 247110 by Fombitz(13828)   on 2010-09-20 09:56:23 (Show Source): You can put this solution on YOUR website! Complete the calculation to get the final answer.

Rational-functions/345457: Multiply (s+t)(s^2-st+t^2) Thank you 1 solutions Answer 247109 by Fombitz(13828)   on 2010-09-20 09:55:34 (Show Source): You can put this solution on YOUR website! Take it from there, combine like terms, and come up with the final answer.

Sequences-and-series/345515: 1 solutions Answer 247108 by Fombitz(13828)   on 2010-09-20 09:52:47 (Show Source): You can put this solution on YOUR website! Please re-post.

Functions/345442: does x+8=y^2 define y as a function of x? 1 solutions Answer 247107 by Fombitz(13828)   on 2010-09-20 09:52:06 (Show Source): You can put this solution on YOUR website! No, there are two values of y for each value of x, violating the requirements for a function. As an example, , and .

Distributive-associative-commutative-properties/345521: A company buy a $450,000 piece of equiptment in 2005. It depreciates $33,000 a year. What is the equation that relates years and value? For 10 years? 1 solutions Answer 247105 by Fombitz(13828)   on 2010-09-20 09:48:11 (Show Source): You can put this solution on YOUR website! At time, (2005), the equipment is worth $450,000. It loses $33,000 of value every year after 2005. where t is the number of years since 2005. In 10 years, The equipment is worth $120,000 in 10 years.

Exponential-and-logarithmic-functions/345484: Please help me solve this equation write this in radical form 81 1/2 thank you :) 1 solutions Answer 247103 by Fombitz(13828)   on 2010-09-20 09:45:33 (Show Source): You can put this solution on YOUR website!

Travel_Word_Problems/345517: A car enters the freeway traveling at 60 miles per hour. A second car enters the freeway 11 minutes later traveling at 65 miles per hour. How long will it take for the second car to catch up to the first car? 1 solutions Answer 247102 by Fombitz(13828)   on 2010-09-20 09:44:11 (Show Source): You can put this solution on YOUR website! Rate*Time=Distance . . . Convert 11 minutes to hours. hours In the 11 minutes, the first car moves, miles The distance traveled by the first car is, The distance traveled by the second car is, . . . Find when hr

Surface-area/345518: if a rectangle measures 3m by 2m calculate its area and include the unit in ur calculation 1 solutions Answer 247101 by Fombitz(13828)   on 2010-09-20 09:42:42 (Show Source): You can put this solution on YOUR website! For a rectangle, Complete the calculation for the final answer.

Triangles/345491: Two vertices of a triangle are (0,6) and (4,0), and the medians intersect at (0,2). Find the third vertex of the triangle. 1 solutions Answer 247100 by Fombitz(13828)   on 2010-09-20 09:36:12 (Show Source): You can put this solution on YOUR website! A:(,) B:(,) C:(,) Assume that the final vertex is located at(,). Then the median connecting (,) to the midpoint of , located at (,), has a slope,since it also goes through (,), of, and a y-intercept of . 1. . . . The median connecting (,),(,), and the midpoint of has a slope of, and a y-intercept of . The midpoint of is (,) or (,). It also satisfies the line, 2. . . . From eq. 1, Substituting into eq. 2, Then The final vertex is located at (,)

Systems-of-equations/345504: Simplify. You may use the properties to help: (3x)(4y)(2z) 1 solutions Answer 247092 by Fombitz(13828)   on 2010-09-20 08:56:37 (Show Source): You can put this solution on YOUR website!

test/345494: If x is a real number, then show that 0<(1/x^2+6x+10)≤1. 1 solutions Answer 247091 by Fombitz(13828)   on 2010-09-20 08:55:48 (Show Source): You can put this solution on YOUR website! In order for , then for all . Convert to vertex form by completing the square, where (,) is the vertex. Since the coefficient of is positive, the parabola opens upwards and the value at the vertex is the function minimum. (,)=(,) Since the function value is never less than 1, then the inverse of the function value is never greater than 1.

Word_Problems_With_Coins/345503: Make 64 cents using 8 coins 1 solutions Answer 247090 by Fombitz(13828)   on 2010-09-20 08:47:35 (Show Source): You can put this solution on YOUR website! You need pennies. That leaves cents and coins left. quarters and nickels equal cents and use coins.

Graphs/345419: let f(x)=-1/2x^2+2x+3 find and graph: a) the x-coordinate of vertex b) the y-coordinate of vertex c) the axis of symmetry d) the max/min value of f and which value it is e) the x value that gives max/min value of f 1 solutions Answer 247089 by Fombitz(13828)   on 2010-09-20 08:46:04 (Show Source): You can put this solution on YOUR website! Complete the square to put the function into vertex form, where (,) is the vertex. a) b) c) The vertex lies on the axis of symmetry, d) since the coefficient of is negative the parabola opens downward and the value at the vertex is a maximum. e) . . .

test/345502: How do you factor polynomial 16x^2+49Y^2 1 solutions Answer 247087 by Fombitz(13828)   on 2010-09-20 08:40:36 (Show Source): You can put this solution on YOUR website!

Linear_Equations_And_Systems_Word_Problems/345384: An elephant herd is moving at a rate of 6 mph. a stray ran at 10mph and caught up in five minutes. How long(in hours) did the stray run to catch up and how far did it run? 1 solutions Answer 247081 by Fombitz(13828)   on 2010-09-20 07:59:39 (Show Source): You can put this solution on YOUR website! Rate*Time=Distance . . . minutes= hour So the stray ran () hour. . . . . . HX is the distance that the herd moved. In minutes, the herd moved, mile . . SX is the distance that the stray moved. In 5 minutes, the stray moved, . . SH is the distance they were intially separated. . . mile

Length-and-distance/345492: A segment has end points (4,-2) and (13,13). Find the coordinates of the points that trisect the segment. 1 solutions Answer 247080 by Fombitz(13828)   on 2010-09-20 07:38:38 (Show Source): You can put this solution on YOUR website! Calculate the difference in x values. Trisect the difference or divide it in . . . . Calculate the difference in y values. Divide it in . . . . Starting at (,) add (,) (,)+(,)=(,) Starting at (,), add (,) (,)+(,)=(,) Finally one more time should get us to the second given point. (,)+(,)=(,) Verifying that the method was proper. (,) and (,) are the two points. . . .

Rational-functions/345493: Does the equation y^2=16x define y as a function of x? 1 solutions Answer 247079 by Fombitz(13828)   on 2010-09-20 07:30:55 (Show Source): You can put this solution on YOUR website! However, is not a proper function. By definition, a function provide a unique value for each value. This relation provides two value for each value.

Angles/345375: the ratio of the measure of the complement of angle G to the measure of the supplement of the complement of angle G is 1:4 find the ratio of the measure of angle G to the supplement og angle G use algebra to show your work 1 solutions Answer 247077 by Fombitz(13828)   on 2010-09-20 07:28:08 (Show Source): You can put this solution on YOUR website! 1. 2. . . . 3. Subtracting eq. 1 from eq. 2, Substitute from eq. 3, degrees . . degrees . . degrees . . .

Expressions-with-variables/345467: (the original problem was solve the equation and use set equation to express solution sets for equations with no solution or equations that are true to all real numbers the equation was 2+3(2x-7)=9-4(3x+1) i solved for x and got x=4/3 how would i use set notation to express solution set x=4/3 i belive the answer to be {x|x=4/3} 1 solutions Answer 247076 by Fombitz(13828)   on 2010-09-20 07:24:39 (Show Source): You can put this solution on YOUR website! Yes, your answer is correct and that use of set builder seems appropriate. Well done!

Age_Word_Problems/345470: Paula is 12 years older than her brother Bob. Four years from now Bob wil be two thirds as old as Paula. How old are they now? 1 solutions Answer 247073 by Fombitz(13828)   on 2010-09-20 07:22:19 (Show Source): You can put this solution on YOUR website! 1. . . . In 4 years, Paula will be P+4, Bob will be B+4. Multiply by 3. Substitute from eq. 1, Then, Paula is 32, Bob is 20.

Angles/345478: ∠A and ∠B are supplementary. Find ∠A and ∠B. m∠A=3x-7 m∠B=11-1 1 solutions Answer 247072 by Fombitz(13828)   on 2010-09-20 07:19:22 (Show Source): You can put this solution on YOUR website! By definition, Substitute, degrees . . . degrees degrees

Exponents/345487: Hi there! Is there anybody out there willing to help me? (X^4 * 10^-3 * 5 * 10^11)/(x^-3 * 3 * 10^2 * 20 * 10^-3) 1 solutions Answer 247070 by Fombitz(13828)   on 2010-09-20 07:16:39 (Show Source): You can put this solution on YOUR website!

Pythagorean-theorem/345158: these numbers are on a right triangle. the hypotenuse is 2x+6 , the side is x , and the bottom is 2x+4 . i have to solve for x . 1 solutions Answer 247034 by Fombitz(13828)   on 2010-09-19 23:22:13 (Show Source): You can put this solution on YOUR website! Use the Pythagorean theorem, } } Two solutions but only the positive solution makes sense here. . . . (10,24,26)

Rational-functions/345235: Factor completely 12r^2+36rp+27p^2 Thank you 1 solutions Answer 247032 by Fombitz(13828)   on 2010-09-19 23:18:26 (Show Source): You can put this solution on YOUR website!

Equations/345374: A theater owner want to divide an 1800 seat theatre in 3 sections. With tickets costing 20, 35, and 50. He wants to have twice as many 20 dollar tickets as the sum of the other tickets and he wants to earn 48,000 from a full house. To find out how many seats in each section, solve the equations. x+y+z=1800 x=2(y+z) 20x+35y+50z=48,000 1 solutions Answer 247030 by Fombitz(13828)   on 2010-09-19 23:14:31 (Show Source): You can put this solution on YOUR website! Substitute into eq. 1 and eq. 2, 1. 1. 1. 1. . . . 2. 2. 2. 2. From eq. 1, Substitute into eq. 2, Then, And finally,

Linear-equations/345427: Give the slope and -intercept for the graph of the function f(x)23-5x/6 1 solutions Answer 247027 by Fombitz(13828)   on 2010-09-19 23:06:22 (Show Source): You can put this solution on YOUR website! Compare to the slope-intercept form, where is the slope and is the intercept. Comparing,