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Triangles/142399: two angles of a triangle are 47 degrees and 74 degrees. what is the other? 1 solutions Answer 103651 by Fombitz(13828)   on 2008-05-20 16:52:27 (Show Source): You can put this solution on YOUR website! The sum of the angles of a triangle is 180 degrees. The final angle is 59 degrees.

Equations/142037: Find the equation of a circle with radius 5 and centered at (3,-1). 1 solutions Answer 103451 by Fombitz(13828)   on 2008-05-18 17:10:26 (Show Source): You can put this solution on YOUR website! The general form of a circle centered at (h,k) with radius, R, is, With your data,

Polynomials-and-rational-expressions/141880: how do I factor this polynomial? Thank you for your help :) 64x to the second -81. 1 solutions Answer 103365 by Fombitz(13828)   on 2008-05-17 11:07:13 (Show Source): You can put this solution on YOUR website! This polynomial is of the form which factors to Let's look at each of the expressions. So when you plug that in, you get,

Miscellaneous_Word_Problems/141830: Make a conjecture about the relationship between the original number and the final number in the following process. Pick a number Multiply the number by 12 Add 12 to the product Divide the sum by 4 Subtract 3 from the quotient 1 solutions Answer 103319 by Fombitz(13828)   on 2008-05-16 16:26:50 (Show Source): You can put this solution on YOUR website! Pick a number Multiply the number by 12 Add 12 to the product Divide the sum by 4 Subtract 3 from the quotient Your final number will be 3 times your original number.

Mixture_Word_Problems/141660: Your math teacher says you have an 86.5% test average after 8 tests. You will be taking 4 more tests and hope to raise your overall test average to 90%. What do you need to average on the next 4 tests in order to reach that goal? 1 solutions Answer 103214 by Fombitz(13828)   on 2008-05-15 16:07:17 (Show Source): You can put this solution on YOUR website! The average of your first 8 scores, A, is the sum of the 8 scores divided by 8. The average of your 12 scores,B, is the sum of the 12 scores divided by 12. A=SUM8/8 SUM8=8A SUM8=8(0.865) SUM8=6.92 B=SUM12/12 SUM12=12B SUM12=12(.90) SUM12=10.8 SUM12=SUM8+NINE+TEN+ELEVEN+TWELVE where NINE, TEN, ELEVEN, and TWELVE are test scores 9,10,11, and 12. SUM12=SUM8+NINE+TEN+ELEVEN+TWELVE 10.8=6.92+NINE+TEN+ELEVEN+TWELVE NINE+TEN+ELEVEN+TWELVE=3.88 (NINE+TEN+ELEVEN+TWELVE)/4=3.88/4 (NINE+TEN+ELEVEN+TWELVE)/4=0.97 You need to average a 97% on the next four tests to get 90% average.

Polynomials-and-rational-expressions/141580: *Tutor this is from my textbook Mccullough, pg. 332-334 Find the zeros of the polynomial function and state the multiplicity of each.f(x)=x (x+3)^4(2x+3)^2 1 solutions Answer 103209 by Fombitz(13828)   on 2008-05-15 15:58:03 (Show Source): You can put this solution on YOUR website! Look at each factor individually and set it to zero. Solve for x. Any exponent of the factor becomes its multiplicity. x=0, multiplicity 1. (x+3)=0 x=-3, multiplicity 4. (2x+3)=0 x=-3/2 multiplicity 2.

real-numbers/141578: what is -2b^2+5b-4 times -3b+2 ___________________ 1 solutions Answer 103207 by Fombitz(13828)   on 2008-05-15 15:54:22 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/141581: Tutors I have the following problem: Use substitution to determine that -4,2,1are zeros of f(x)=x^3+3x^2-4x Thank you 1 solutions Answer 103203 by Fombitz(13828)   on 2008-05-15 15:50:34 (Show Source): You can put this solution on YOUR website! x=-4 is a zero of f(x). x=2 is not a zero of f(x). x=1 is a zero of f(x).

Evaluation_Word_Problems/141596: Which process would you use to solve both of the following systems of equations, the addition method or the substitution method? Are they both applicable to use, or would one method be easier to use than the other? Please EXPLAIN your responses. System 1: x + y = 7 x - y = 9 System 2: 3x - 4y = 11 -2x + 3y = -7 1 solutions Answer 103202 by Fombitz(13828)   on 2008-05-15 15:35:53 (Show Source): You can put this solution on YOUR website! Both systems are always available for you to use. They will give you the same results. Sometimes one method is faster than another. For system 1, addition is fastest because you have positive y in one equation and negative y in the other. Adding them together cancels y's out. Add the two together to get. For system 2, addition is also faster, but requires some multiplication first. In this case, substitution would give you nasty fractions and more multiplication. It's not impossible, but it can become cumbersome and easy to make a mistake. Multiply the first by 3, the second by 4, then add.

Linear_Algebra/141648: Write the Equation in standard form y-6=2(x-1) 1 solutions Answer 103200 by Fombitz(13828)   on 2008-05-15 15:26:35 (Show Source): You can put this solution on YOUR website! I'm not sure what you mean by standard form so I guess it's one of these two ways. 1. 2.

Rectangles/140787: The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are increased by 2 cm, then the resulting perimeter would be 5/3 of the original perimeter. Find the dimensions of the rectangle. 1 solutions Answer 102522 by Fombitz(13828)   on 2008-05-09 17:02:05 (Show Source): You can put this solution on YOUR website! Let call the length and width of the rectangle L and W. 1. The original perimeter is 2L+2W. 2. Simplifying 2 (multiply both sides by 3 to get rid of denominators), Now plug this value into 1. 1. The two solutions are W=4 and W=2. For W=4, L=6-W=2. For W=2, L=6-W=4. The dimensions of the rectangle are 2 cm by 4 cm.

Linear_Equations_And_Systems_Word_Problems/140754: Frederique is two years older than her brother. Twelve years ago she was twice as old as he was. how old are they now? 1 solutions Answer 102519 by Fombitz(13828)   on 2008-05-09 16:52:56 (Show Source): You can put this solution on YOUR website! Let Frederique's age be F and her brother's, B. Right now, 1. 12 years ago, 2. Substitute 1 into 2 and solve for B. Now that you have the brother's age, you can use a previous formula to find F.

Linear-systems/140769: Which ordered pair is the solution of the linear system 3x + y = -1 and y = -1/2x - 7/2? 1 solutions Answer 102518 by Fombitz(13828)   on 2008-05-09 16:47:56 (Show Source): You can put this solution on YOUR website! Solving the problem graphically it looks like (1,-4). Check your answer using your 2 equations. Good answer.

Quadratic_Equations/140786: please help. write the equation of the root 6,-2/3 Thanks for helping. 1 solutions Answer 102517 by Fombitz(13828)   on 2008-05-09 16:44:08 (Show Source): You can put this solution on YOUR website!

Graphs/140781: In the coordinates (5,-4) which number represents the y value? The answer to this is -4. The next question is "What are the coordinates of the origin?" 1 solutions Answer 102515 by Fombitz(13828)   on 2008-05-09 16:29:05 (Show Source): You can put this solution on YOUR website! That is correct. The first variable in the ordered pair is x. The second variable in the ordered pair is y. THe origin is where the x axis and y axis cross. That ordered pair is (0,0).

Polynomials-and-rational-expressions/140871: Can someone please help me with this two part problem? Create a table and plot the graph for each of the following polynomial expressions. a. y=x^3+3 The x values are 0, 1, -1, 2, -2, 3, and -3. b. y=x^4-4 The x values are the same as part a. I am confused about what to do with this problem any help would be great. 1 solutions Answer 102514 by Fombitz(13828)   on 2008-05-09 16:26:57 (Show Source): You can put this solution on YOUR website! Plug in x values and calculate y values. Now you have your table of ordered pairs (x,y). (-3,-24) (-2,-5) (-1,2) (0,3) (1,4) (2,11) (3,30) Plot these values. Similarly, Plug in x values and calculate y values. Now you have your table of ordered pairs (x,y). (-3,84) (-2,19) (-1,4) (0,3) (1,4) (2,19) (3,84) Plot these values.

Systems-of-equations/140798: The path of a fallen object is given by the function s= -16t^2+v0t+s0, where v0 represents the initial velocity in ft/sec and s0 represents the initial height. The variable t is time in seconds and s is the height of the object in feet. If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40 foot building,how high is the rock after 0.5 seconds? After how many seconds will the rock reach maximum height? Ive already answered the first question, i think it is 52 feet. Is this correct? How do i set up my equation to answer the second question? (step by step please) 1 solutions Answer 102507 by Fombitz(13828)   on 2008-05-09 15:55:17 (Show Source): You can put this solution on YOUR website! PART ONE Yes, you are correct. 52 feet is the correct height. PART TWO I'm not sure how advanced you are in mathematics to solve the next part. If you have taken calculus, you take the derivative of the function and set it equal to zero. If you are using algebra, you can recognize that the equation is the equation of a parabola, find the axis of symmetry, and calculate the maximum there. Finally you could plot points and try to find the maximum that way. We can do all three. 1. The maximum occurs at t=1 second. 2. The axis of symmetry for the parabola occurs at In your case, a=-16 b=32 The axis of symmetry is then Just as above, s=56 ft at t=1 sec. 3. Start at t=0 and solve for s. (0.0,40) (0.5,52) (1.0,56) (1.5,52) (2.0,40) You could also take some points aroung t=1 to prove to yourself that the maximum does occur at t=1.

Polynomials-and-rational-expressions/140645: Tutor Would you help me with this problem? Find the difference quotient f(x+h)-f(x)/h for 2-x^2 1 solutions Answer 102428 by Fombitz(13828)   on 2008-05-08 17:03:13 (Show Source): You can put this solution on YOUR website!

Matrices-and-determiminant/140724: WORD PROBLEMS: 282 PEOPLE ATTENED A RECENT PERFORMANCE OF CINDERELLA. ADULT TICKETS SOLD FOR $5 AND CHILDREN'S TICKETS SOLD FOR $3. FIND THE NUMBER OF ADULTS AND THE NUMBER OF CHILDREN THAT ATTENDED THE PLAY IF THE TOTAL REVENUE WAS $1046. 1 solutions Answer 102418 by Fombitz(13828)   on 2008-05-08 15:44:58 (Show Source): You can put this solution on YOUR website! First name your variables. A-adult ticket C-child ticket 1. 2. Use equation 1 to solve for A in terms of C. 1. Now subsitute for A in equation 2. 2. From above A=100 C=182

Matrices-and-determiminant/140626: Find the determinant. 4 -4 10 -1 1 -2 -2 -4 -3 1 solutions Answer 102416 by Fombitz(13828)   on 2008-05-08 15:23:20 (Show Source): You can put this solution on YOUR website! A matrix of the form () has a determinant,D, equal to

Linear-equations/140709: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function? The only similarities that I can find is that linear equations and functions have a x axis and an y axis. I have also found that not all linear equations are functions. I can not find anything about differences or an instance when a linear equation is not a function. 1 solutions Answer 102414 by Fombitz(13828)   on 2008-05-08 15:10:52 (Show Source): You can put this solution on YOUR website! A function, y=f(x), is a relationship between an independent variable (example:x) and a dependent variable(example:y) where the function gives a unique value for each x. Lines (or linear equations or functions) are a subset of general functions. Are all linear equations functions? Yes. Is there an instance when a linear equation is not a function? No. There is an instance where a line is not a function (a verical line, example:x=4). In that case you have infinitely many y values for one x value. But in that case there really is not a function of the form y=... so it's a very clear distinction. All other linear equations have the form y=mx+b and give a unique y for each x value.

Graphs/140679: given that f(x) = x2+3 and g(x) = 5x-2 Write down an expression for the following (1) (F o G)(x) (2) (F o F) (x) (3) (G o G) (x) And evaluate each expression at the point x = 2 1 solutions Answer 102401 by Fombitz(13828)   on 2008-05-08 11:21:09 (Show Source): You can put this solution on YOUR website! 1. 2. 3.

Trigonometry-basics/140509: I need to find angles and sides for this right triangle but I dont know how and cant find any examples anywhere to help(I don't know how because of angle A) Find side a and b given in two decimal place and find Angle A is Pi/10 and side c is 43.8 Please help. 1 solutions Answer 102302 by Fombitz(13828)   on 2008-05-07 14:31:39 (Show Source): You can put this solution on YOUR website! Angles can be measured in different units just like length can be measured in inches and in millimeters (and a lot of other units). Two commonly used units are degrees and radians. A circle, like a clock, sweeps 360 degrees. In radians, it would be radians. So the conversion factor is to go from degrees to radians. The conversion factor to go from radians to degrees is . The angle A is radians or 18 degrees. Let's call the side oppposite angle A, side b. Let's call the side adjacent (next to) angle A, side a. Side c is the hypotenuse of the right triangle. From trignometry, Since it's a right triangle, you can use the Pythagorean theorem to find a. You could have also use the cos(A). a=41.66 b=13.53

Linear-equations/140379: How would i show the coordinates of the vertex. And the Equation of the axis of symmetry and the greatest value of the function, for this problem? g(x)= -x2(squared)-3x 1 solutions Answer 102232 by Fombitz(13828)   on 2008-05-06 17:24:57 (Show Source): You can put this solution on YOUR website! For any quadratic equation of the form, The axis of symmetry occurs at If a is positive, then the mininum value occurs there. If a is negative, then the maximum value occurs there. Comparing your equation to the standard form, a=-1 b=-3 The axis of symmetry is Since a is negative, the value will be a maximum. The maximum value is,

Expressions-with-variables/140275: The associative property of multiplication states: For any real numbes x, y, and z, 1 solutions Answer 102226 by Fombitz(13828)   on 2008-05-06 17:00:04 (Show Source): You can put this solution on YOUR website! Associative Property of Multiplication

Quadratic_Equations/140344: Please show me how to find and graph the derivative value? Thanks! given: y = X^2 at X = 3 and at X = -1 1 solutions Answer 102222 by Fombitz(13828)   on 2008-05-06 16:49:16 (Show Source): You can put this solution on YOUR website! The derivative of y (y' or dy/dx) is 2x. At x=3, the derivative is 2(3)=6. At x=-1, the derivative is 2(-1)=-2.

Finance/140370: If a price of $4 goes up to $10, what is the percent increase? If a price of $10 goes down to $4, what is the percent decrease? Thankyou.. Shelly 1 solutions Answer 102220 by Fombitz(13828)   on 2008-05-06 16:46:35 (Show Source): You can put this solution on YOUR website! Percent Change=(New Value-Old Value)/Old Value x 100 If it's positive, it's an increase. If it's negative, it's a decrease. 1. 150% increase. 2. 60% decrease.

Miscellaneous_Word_Problems/138990: Below are two sets of data. One of the sets describes a linear function and the other describes an exponential function. Which is linear and which is exponential? Explain how you know. Find a formula for each function. For this problem, it is not acceptable to use results from your graphing calculator. Table 1 x, g(x) -2, 0.4444 -1, 1.3333 0, 4 1, 12 2, 36 3, 108 4, 324 5, 972 6, 2916 Table 2 x, f(x) -2, 4 -1, 3.5 0, 3 1, 2.5 2, 2 3, 1.5 4, 1 5, 0.5 6, 0 1 solutions Answer 101393 by Fombitz(13828)   on 2008-04-28 14:29:54 (Show Source): You can put this solution on YOUR website! For a linear function the change in function, f(x), should be the same for each equal x division. In other words, when you go from -2 to -1, the change in the function should be the same as going from 0 to 1 and 2 to 3 and so on. g(-2)-g(-1)=0.4444-1.333=-0.8889 g(1)-g(2)=12-36=-24 Definitely not the same, definitely not linear. Now look at f(x). f(-2)-f(-1)=4-3.5=0.5 f(1)-f(2)=2.5-2=0.5 You can verify all of the other values to be sure. f(x) is a linear function. You can assume that g(x) is therefore the exponential function. To be sure, you can do more analysis. Exponential functions have the form, where a and b are constants. where c is a spacing constant, the distance between your x values. Then you can look at the ratio of the values. So, if your function is exponential, the ratio of two terms equals the same number. g(-2)/g(-1)=0.4444/1.333=0.3333 g(1)/g(2)=12/36=0.3333 You can verify all of the other values to be sure. g(x) is an exponential function.

Radicals/138272: Please help me with this problem: How would you solve this by multiplying, then simplifying? (sqrt2+ 1)(sqrt2 -1) 1 solutions Answer 101081 by Fombitz(13828)   on 2008-04-24 17:30:43 (Show Source): You can put this solution on YOUR website! In general, Specifically in your case,

Reduction-of-unit-multipliers/138359: 1. 20 kg = ____ g help thanks 1 solutions Answer 101080 by Fombitz(13828)   on 2008-04-24 17:26:00 (Show Source): You can put this solution on YOUR website! 20 kg x 1000 g/kg = 20,000 g.

Expressions-with-variables/137848: This question is from textbook prentice hall algebra 1 how do i sove this problem (step by step) x-y=5 x+2y=7 1 solutions Answer 100782 by Fombitz(13828)   on 2008-04-21 22:03:09 (Show Source): You can put this solution on YOUR website! 1. 2. There are many ways to solve this system of linear equations. I'll use the substitution method. Use equation 1, to solve for x in terms of y. 1. Now use this value and substitute for x in equation 2. 2. Now solve for y. You can work backwards and find x now that you have y. Always check your answers. Use your original equations. 1. True statement. Good answer. 2. True statement. Good answer.