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Polynomials-and-rational-expressions/167006: Solve the equation: T squared + (T - 2)squared= 130 a. T= 0; T=2 b. T=-9; T=-7 c. T=-9; T=7 d. T=9; T=-7 Thank you! 1 solutions Answer 123035 by Fombitz(13828)   on 2008-11-11 16:24:25 (Show Source): You can put this solution on YOUR website! . . . . . . . . . D)

Graphs/167063: What is the steps to finding the x- and y- intercpts of this problem? 1 solutions Answer 123034 by Fombitz(13828)   on 2008-11-11 16:17:33 (Show Source): You can put this solution on YOUR website! First simplify your equation. X and Y on the left hand side, constant on the right. . . . x intercept occurs when y=0, set y=0 and solve for x. x intercept : x=-7/4, y=0. . . . y intercept occurs at x=0, set x=0 and solve for y. y intercept : x=0, y=-7/10. . . .

Rational-functions/166996: I'm working with a student myself at a Deaf school in Jamaica and we came across a problem that stumped me. The question is: If f(x)=2x-3, then find the value of f^-1(0) The part that stumps me is putting f to the power of -1. We understand how to solve the problem if it's not but to a power. Thank you so much for your help! I appreciate it greatly. -Isaac 1 solutions Answer 123032 by Fombitz(13828)   on 2008-11-11 16:08:09 (Show Source): You can put this solution on YOUR website! Isaac, it's not a power but it stands for the inverse function. For example, if I have a function such that then the inverse function, would be such that when I plug in x=5, I would get back y=1. . . . 1.To find the inverse, first change to x,y notation. Then interchange the positions of x and y and solve for y. } The solution for the new y is the inverse function. . . . Let's try it. Now when I plug in x=-1 into the inverse function, I should get back y=1. . . . You interested at the value of the inverse function for x=0. You could have also solved it by asking what x makes my original function equal to zero. The inverse functions interchange x and y values. Hopefully that makes sense. Good luck!

Rational-functions/167060: Sketch by hand F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of a) x- & y- intercepts b) relative maxima and minima c) points of intersection 1 solutions Answer 123030 by Fombitz(13828)   on 2008-11-11 15:57:39 (Show Source): You can put this solution on YOUR website! a) X-intercepts Looks like x=3 and x=-3 are intercepts. Plug those values into the equation and check. Yes, x=3 and x=-3 are the x-intercepts. Y-intercept: Set x=0. The y intercept is y=-54. . . . b) Looks like a relative maxima at x=3, y=0. Also, looks like a relative minima at x=-1,y=2+6-18-54=-64. . . . c) Intersection with what?

Quadratic_Equations/166990: what are all zeros of f(x)=X4th power-X3rd power+3x squared-9X-54 1 solutions Answer 123012 by Fombitz(13828)   on 2008-11-11 09:24:36 (Show Source): You can put this solution on YOUR website! Let's graph the function first. Looks like x=-2 and x=3 are two zeros. Now you have two zeros, you can use synthetic division to find the others. . . . Showing synthetic division is a little difficult. The first part will show the factor (left hand column), then the factor times the divisor, then the next line will show the subtraction. Repeat. Hopefully it makes sense. . . . ..................___________________ (x^2-x-6)|x^4-x^3+3x^2-9x-54 x^2:............x^4-x^3-6x^2 ----------------------------------- .....................................9x^2-9x-54 9:.................................9x^2-9x-54 ----------------------------------- .........................................................0 . . . Now look at the last quadratic and find its roots. You can factor it. The zeros are x=-2,3,-3i,3i.

Functions/166993: write an expression of the line containing the given point and perpendicular to the given line. Express the answer as y=mx+b. Simplify your answer. (6,8);9x+y=2 y=-9x+2 y=1/9(x-x1) y-y1= 1/9(x-x1) y-8= 1/9(x-6) This is where I get lost. I know that 1/9 is the slope, but when I multiply it by what is in the parenthesis and then subtract or add 8, I keep getting it wrong. 1 solutions Answer 123011 by Fombitz(13828)   on 2008-11-11 09:12:00 (Show Source): You can put this solution on YOUR website! Multiply both sides by 9 first. Distribute 9 on the left hand side. Add 72 to both sides. Simplify. Divide by 9. . . . Here's the two lines graphed and point (6,8) shown.

Expressions-with-variables/166994: solve by elimination method; 5x+5y=-11 7x-3y=19 The solution should turn out to be an ordered pair, I get lost when I am trying to get the x or the y. 1 solutions Answer 123010 by Fombitz(13828)   on 2008-11-11 09:05:27 (Show Source): You can put this solution on YOUR website! 1. 2. Let's get rid of y. Multiply eq. 1 by 3 and eq. 2 by 5 and add them together. From 1, 1. . . . Let’s graph the equations to verify the solution. The two lines are and The solution is (1.24,-3.44)

Exponents/166888: ((5^2/3)^1/5)^2 1 solutions Answer 122941 by Fombitz(13828)   on 2008-11-10 16:22:33 (Show Source): You can put this solution on YOUR website! . . .

Geometry_Word_Problems/166842: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)= -x^2+62x+79, with P being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit? 1 solutions Answer 122913 by Fombitz(13828)   on 2008-11-10 11:23:46 (Show Source): You can put this solution on YOUR website! To earn money, his profits have to be positive. Let's find the point where the profits equal zero. From that point on, his profit will be positive. . . . Check the equation. John makes a $79 profit selling 0 hot dogs, that can't be right. Also, when he sells more than a certain number (63), his profits become negative, that doesn't make sense either. Check and re-post the problem.

logarithm/166826: log(X+3)-log X=log 2 1 solutions Answer 122911 by Fombitz(13828)   on 2008-11-10 10:06:46 (Show Source): You can put this solution on YOUR website!

logarithm/166827: log5 X+ 2log5 X=3 1 solutions Answer 122910 by Fombitz(13828)   on 2008-11-10 10:02:04 (Show Source): You can put this solution on YOUR website!

Surface-area/166335: FInd the base if the height is 4 1\4 and area is 34m2 1 solutions Answer 122643 by Fombitz(13828)   on 2008-11-07 16:09:28 (Show Source): You can put this solution on YOUR website! We don't all have the book. Can you explain the figure. Is it a triangle with height 4.25 and area of 34? if so, the area of a triangle is If not, please give more information.

Rational-functions/166375: Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = 2x^3 - x^2 - 12x + 6 1 solutions Answer 122640 by Fombitz(13828)   on 2008-11-07 16:02:49 (Show Source): You can put this solution on YOUR website! Let's graph the function. Looks like x=0.5 is a zero. Even though x=2.5 and x=-2.5 look like zeros, they don't solve. Let's use synthetic divsion to factor out (x-0.5) and get the quadratic equation that's left over. . . . Showing synthetic division is a little difficult. The first part will show the factor (left hand column), then the factor times the divisor, then the next line will show the subtraction. Repeat. Hopefully it makes sense. . . . ...........___________________ (x-0.5)|2x^3-x^2-12x+6 2x^2:....2x^3-x^2 .................................-12x+6 -12:..........................-12x+6 Then The three zeros are , , .

Miscellaneous_Word_Problems/166409: Let's say that the average egg has a mass of 45 g. What mass would a mole of eggs have? 1 solutions Answer 122637 by Fombitz(13828)   on 2008-11-07 15:50:05 (Show Source): You can put this solution on YOUR website! Mole of eggs = 6.02x10^23 eggs Mass of mole of eggs = Mass of one egg x 6.02x10^23 eggs Mole*Mass Mass in grams Mass in Kilograms The mass of a mole of eggs would be 2.709x10^22 kg. That's a lot of eggs. Just for comparison, the moon weighs, 7.2x10^22 kg.

Polynomials-and-rational-expressions/166392: Factor completely: Help please 3m^3+27m 1 solutions Answer 122634 by Fombitz(13828)   on 2008-11-07 15:39:41 (Show Source): You can put this solution on YOUR website!

Graphs/166393: Graph the system of equations y=x^4-3x³ and y=2x-6. Find the points of intersection. Give an exact answer. PLEASE HELP ME! I don't know what to do!! 1 solutions Answer 122633 by Fombitz(13828)   on 2008-11-07 15:38:17 (Show Source): You can put this solution on YOUR website! . . . A closer look . . . Looks like (3,0) may be an intersection point. Try it. y=2x-6 0=2(3)-6 0=0 True. y=x^4-3x^3 0=3^4-3(3^3) 0=0 True (3,0) is a solution. Can't find the second solution exactly by graphing. Iteration is required. x=1.25 is a good start point. Iteration leads to x=1.259922 with corresponding y=-3.48016.

Length-and-distance/166152: Find the area of the polygon whose vertices are at (1,-4),(4,-1),(4,5),(-1,4)&(-2,-1). 1 solutions Answer 122593 by Fombitz(13828)   on 2008-11-07 10:40:54 (Show Source): You can put this solution on YOUR website! First plot the points and see what you've got. Define a couple of extra points that will help simplify the solution. X at (4,4) Y at (-1,-1) Now we can find the areas of the individual triangles and square and add them together. Area of a square is s*s where s is the side length. Area of a triagle is half the product of base and height. . . . Square BXDY : Triangle XCD : Triangle DEY : Triangle EAB : Now add all of the areas,

test/166178: 36.) If a manufacturer charges q dollars each for footballs, then he can sell 3000 - 150q footballs per week. Find a polynomial R(q) that represents the revenue for one week. Find the weekly revenue if the price is $8 for each football. This is the answer that it is showing r(q)= -150q^2 + 3000q, 14,400 Can you show me how they got this answer please. 1 solutions Answer 122592 by Fombitz(13828)   on 2008-11-07 10:24:53 (Show Source): You can put this solution on YOUR website! The number of footballs sold is, The price for each football is . The total revenue is just the number of footballs sold multiplied by the price of each football. . . . When q=$8, then The weekly revenue when footballs are $8 a piece is $14,400.

Percentage-and-ratio-word-problems/166328: suppose your supermarket offers the following products at the given prices. find the more economical purchase sutter home pasta sauce,25.5 ounces for 3.29, or muir glen organic pasta sauce for 26 ouces for 3.79 1 solutions Answer 122591 by Fombitz(13828)   on 2008-11-07 10:17:21 (Show Source): You can put this solution on YOUR website! Calculate the cost per ounce for each. The more economical one will have a lower cost per ounce. Sutter: Sutter costs 12.9 cents per ounce. Muir Glen: Muir Glen costs 14.6 cents per ounce. If the tastes are similar, Sutter would be the more economical choice.

Linear-systems/166322: Find the equation of the line (in y = mx + b form) that passes through the points (-8, 6.5) and (9, -11) Csn someone please help. I am having trouble with the decimal. Thank you 1 solutions Answer 122590 by Fombitz(13828)   on 2008-11-07 09:26:37 (Show Source): You can put this solution on YOUR website! First find the slope using the two points, (-8, 6.5) and (9, -11) To get rid of the decimal, multiply numerator and denominator by 2. Now that you have the slope, use the point-slope form of the line with either point, or approximately,

Quadratic_Equations/166325: I am very interested in how one would derive a quadratic equation from a physical parabola. I have one that measures 3.5" from vertex to "mouth" and 4.5" across the "mouth." I plotted it on a graph with a y intercept of 3.5 and x intercepts of 2.25, -2.25. I played with your quadratic solver and a graphing calculator and the closest I was able to come to was . How could I solve this without using the aforementioned tools? Thank you 1 solutions Answer 122589 by Fombitz(13828)   on 2008-11-07 09:03:05 (Show Source): You can put this solution on YOUR website! Center your parabola at (0,0). Then the general equation of the parabola becomes From your measurement, at x=2.25, y=3.5, a is the same, the other constant just scales the graph with regards to the origin.

Linear-systems/166292: find the present value of an investment at 4% annual simple interest and is worth $6900 after 7 years? 1 solutions Answer 122588 by Fombitz(13828)   on 2008-11-07 08:48:53 (Show Source): You can put this solution on YOUR website! Simple interest formula, where F is the future value, P is the present value, i is interest rate, n is the number of periods.

Quadratic_Equations/166323: How do I factor: 8x-30x+7=0 1 solutions Answer 122587 by Fombitz(13828)   on 2008-11-07 08:37:27 (Show Source): You can put this solution on YOUR website!

Systems-of-equations/166284: x+y=-4 2x-4y=22 1 solutions Answer 122586 by Fombitz(13828)   on 2008-11-07 08:33:48 (Show Source): You can put this solution on YOUR website! 1. 2. Multiply eq.1 by 4 and add to eq. 2, From eq. 1,

Polynomials-and-rational-expressions/166303: 2x^4-6x^3+x^2-3x-3/x-3 1 solutions Answer 122585 by Fombitz(13828)   on 2008-11-07 08:29:43 (Show Source): You can put this solution on YOUR website! Here you need the synthetic division. Showing synthetic division is a little difficult. The first part will show the factor (left hand column), then the factor times the divisor, then the next line will show the subtraction. Repeat. Hopefully it makes sense. . . . ...........___________________ (x-3)|2x^4-6x^3+x^2-3x-3 2x^3:.2x^4-6x^3 .................................x^2-3x-3 x:.............................x^2-3x ..............................................-3

Probability-and-statistics/166313: Identify the probability statement as empirical or not. The probability of an adult male's height being at least 6 feet is 0.25 1 solutions Answer 122584 by Fombitz(13828)   on 2008-11-07 08:20:11 (Show Source): You can put this solution on YOUR website! Yes, it's empirical. Studies are done measuring adult male heights and then generalized statement are made regarding that height, such as over 6' probability is 0.25.

Inequalities/166171: [x3y-3xy]-[xy]3 1 solutions Answer 122583 by Fombitz(13828)   on 2008-11-07 08:14:46 (Show Source): You can put this solution on YOUR website!

Linear-equations/166158: This question is from textbook Prentice Hall Mathematics Algebra 1 How do you write this equation in standard form using integers: y = -3x 1 solutions Answer 122582 by Fombitz(13828)   on 2008-11-07 08:11:42 (Show Source): You can put this solution on YOUR website! Re-arrange it. X's and Y's on left side, everything else on the right. No fractions.

Equations/166285: Solve each Proportion (3x-2)/5=(4x+1)/3 1 solutions Answer 122581 by Fombitz(13828)   on 2008-11-07 07:58:18 (Show Source): You can put this solution on YOUR website! Cross multiply, . . . Check the answer. True statement. Good answer.

Systems-of-equations/166225: Okay i need step-by-step instructions on how to solve problems like: 1) Solve each system by graphing: y=3x-4 y=-3x+2 2) y=5/4x-2 y=5/4x-1 1 solutions Answer 122507 by Fombitz(13828)   on 2008-11-06 16:42:36 (Show Source): You can put this solution on YOUR website! Graph each line and look for points of intersection. Looks like (1,-1) is a solution to this system of equations. . . . Verify by plugging (1,-1) into both equations. True. True. (1,-1) is the solution. . . . Graph each line and look for points of intersection. There are no points of intersection. There is no solution for this system of equations.

Matrices-and-determiminant/166212: Can someone help with this problem please: Solve the matrix equation for X. A = 2 0 0 -1 2 0 -2 4 1 B = 4 10 11 AX = B CHOOSE FROM: a. 0 8 -9 b. 2 6 -9 c. 3 7 -8 d. 3 6 -10 1 solutions Answer 122506 by Fombitz(13828)   on 2008-11-06 16:37:38 (Show Source): You can put this solution on YOUR website! Find the inverse of A. Multiply rows of the inverse matrix by the column matrix to get the product. . . . . . . b.)