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The latest questions and answers, from members following Math at eNotes.Mon, 1 Sep 2014 23:48:17 PSTen-usFirst, rearrange one of the equations to solve for a single variable....
http://www.enotes.com/homework-help/2x-y-2-3x-2y-5-solve-algebraically-470727
First, rearrange one of the equations to solve for a single variable. (2x + y = 2) rearranges to: (y = 2-2x) THen we can substitute the value (2-2x) for y in the second equation. (3x + 2y = 5) substitute (2-2x) for y: (3x + 2(2-2x) = 5) multiply and simplify: (3x + 4 - 4x = 5) (-x + 4 = 5) (-x = 1) therefore x = -1 Now we just apply the X value to either equation. (-2 + y = 2) y = 4 We can check by applying these values to the second...http://www.enotes.com/homework-help/2x-y-2-3x-2y-5-solve-algebraically-470727Mon, 1 Sep 2014 23:48:17 PSTWe are given the function `n(t)=100-36^t ` where n is the number of free...
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We are given the function `n(t)=100-36^t ` where n is the number of free tickets remaining t hours after an e-mail is sent. A. `n(0)=100-36^0=100-1=99 ` . This is the initial number of free tickets available. B. n(t)=0 is the time when the number of free tickets remaining is zero. Here n(t)=0 gives : `0=100-36^t ==> 36^t=100` ` ` So `t~~1.285 ` . There will be no free tickets after about 77 minutes. C. Here `0<=n<=99 ` where `n in NN...http://www.enotes.com/homework-help/function-n-t-100-36-gives-number-n-free-concert-470734Mon, 1 Sep 2014 22:01:03 PSTThe function n(t)=100-36^gives the number n of free concert tickets...
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The function n(t)=100-36^gives the number n of free concert tickets remaining at the service counter in a college student center t hours after an email is sent to the student body. A. What does n(0) mean? Calculate the function value of n(0). B. What does n(t)=0 mean? Calculate the value of t for which n(t)=0. Explain any restrictions on n and t.http://www.enotes.com/homework-help/function-n-t-100-36-gives-number-n-free-concert-470734#1September 1, 2014, 9:38 pm PST`D(x)=5x-4/3 x^(-2x+1) ` and `C(x)=2x-1/3x^(4x-5) ` : D(x) has a domain...
http://www.enotes.com/homework-help/compare-properties-functions-d-x-5x-4-3x-2x-1-c-x-470729
`D(x)=5x-4/3 x^(-2x+1) ` and `C(x)=2x-1/3x^(4x-5) ` : D(x) has a domain ` x>=0` and range `y>=0 ` . The y-intercept and the only x-intercept are at (0,0). The function is increasing on its domain and thus has no maximum. It has a minimum at x=0. C(x) has a domain x>0, and the range is approximately y<2.55953. There is no y-intercept, and the two x-intercepts are at approximately x=0.6059 and x=2.1027. The function has a maximum at...http://www.enotes.com/homework-help/compare-properties-functions-d-x-5x-4-3x-2x-1-c-x-470729Mon, 1 Sep 2014 21:33:37 PSTTina buys DVDs for $9.50 and CDs for $12. She can spend at most $60. Let...
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Tina buys DVDs for $9.50 and CDs for $12. She can spend at most $60. Let x represent the number of DVDs, and y the number of CDs. Then the amount spent on DVDs is 9.5x, and the amount spent on CDs is 12y. The total amount spent is the sum 9.5x+12y. Since the total amount spent is less than or equal to $60, we have: `9.5x+12y<=60 ` Since 60 divided by 9.5 is approximately 6.31, Tina can buy at most 6 DVDs. Since 60 divided by 12 is 5, Tina...http://www.enotes.com/homework-help/tina-can-spend-up-60-dvds-cds-she-buys-used-dvds-470728Mon, 1 Sep 2014 21:03:42 PSTCompare the properties of the functions D(x)=5x-4/3x^-2x+1...
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Compare the properties of the functions D(x)=5x-4/3x^-2x+1 C(x)=2x-1/3x^+4x-5http://www.enotes.com/homework-help/compare-properties-functions-d-x-5x-4-3x-2x-1-c-x-470729#2September 1, 2014, 8:54 pm PSTSolve the system 2x+y=2,3x+2y=5 algebraically: (1) Method I;...
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Solve the system 2x+y=2,3x+2y=5 algebraically: (1) Method I; substitution: Solve the first equation for y : 2x+y=2 Subtract 2x from each side to get y=-2x+2 Now substitute this expression for y into the second equation: 3x+2y=5 3x+2(-2x+2)=5 solve for x: 3x-4x+4=5 -x=1 ==> x=-1 If x=-1 then y=-2(-1)+2=4 So the solution is x=-1,y=4 or the point (-1,4). Check: 2(-1)+4=2 and 3(-1)+2(4)=5. (2) Method II; elimination: 2x+y=23x+2y=5 ...http://www.enotes.com/homework-help/solve-algebraically-2x-y-2-3x-2y-5-470726Mon, 1 Sep 2014 20:53:03 PSTTina can spend up to $60 on DVDs and CDs. She buys used DVDs that cost...
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Tina can spend up to $60 on DVDs and CDs. She buys used DVDs that cost $9.50 each. The CDs she buys at a discount for $12 each. Write an inequality to model the situation. Then, determine the constraints on the variables.http://www.enotes.com/homework-help/tina-can-spend-up-60-dvds-cds-she-buys-used-dvds-470728#3September 1, 2014, 8:48 pm PST(2x + y=2) (3x +2y=5) solve algebraically
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(2x + y=2) (3x +2y=5) solve algebraicallyhttp://www.enotes.com/homework-help/2x-y-2-3x-2y-5-solve-algebraically-470727#4September 1, 2014, 8:44 pm PSTsolve algebraically 2x +y =2 ...
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solve algebraically 2x +y =2 3x + 2y=5http://www.enotes.com/homework-help/solve-algebraically-2x-y-2-3x-2y-5-470726#5September 1, 2014, 8:37 pm PSTThe formula for the area of a triangle is (1/2)bh or 1/2 times base...
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The formula for the area of a triangle is (1/2)bh or 1/2 times base times height. As justaguide said, if you use the Pythagorean Theorem you can see that the two legs of the triangle are 6 and 8. Now plug those into the equation and you get (1/2)*6*8 which equals 24.` <br> `http://www.enotes.com/homework-help/what-area-triangle-with-sides-6-8-10-cm-470643Mon, 1 Sep 2014 20:12:40 PSTThere are 6 faces on a die, which gives you 6 numbers each of the 4 die...
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There are 6 faces on a die, which gives you 6 numbers each of the 4 die could potentially land on. This gives you 1296 total combinations (6^4). In order for the sum to be 6, you would either need the combination 1, 1, 1, & 3 OR 1, 1, 2, & 2. There are 10 possible ways to get these combinations, depending on which number is rolled first, giving you a probability of 10/1296 or 5/648.http://www.enotes.com/homework-help/die-thrown-4-times-what-probability-sum-all-470672Mon, 1 Sep 2014 19:55:49 PSTTo solve for the equation x^3+3x^2+2x=0 you have to factor. Start by...
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To solve for the equation x^3+3x^2+2x=0 you have to factor. Start by factoring out the x that all the parts have in common. x(x^2+3x+2)=0 Now you can easily factor the x^2+3x+2. x(x+2)(x+1)=0 Now that you have factored as far as you can, you can set each factor equal to 0 and solve. x=0 x+2=0 x+1=0 x=-2 x=-1 Your solutions are x=0, -2, and -1.http://www.enotes.com/homework-help/solve-x-3-3-x-2-2-x-0-470687Mon, 1 Sep 2014 19:43:44 PST(x+2y+8z)-(6z-2y-x) When given a problem like this you can simply...
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(x+2y+8z)-(6z-2y-x) When given a problem like this you can simply combine like terms. However, you have to be careful with the signs because it is easy to get them mixed up. Let's start with x. In the first set of parentheses, you have a positive x or 1x. in the second set you have a negative 1x. A positive 1x subtract a negative 1x is equal to 1x + 1x. This gives you 2x. You'll do the same with the y variables. You are given a 2y in the first...http://www.enotes.com/homework-help/x-2y-8z-6z-2y-x-can-someone-explain-470693Mon, 1 Sep 2014 19:37:54 PSTLet's denote the number of chores Trevor chooses to do each week by the...
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Let's denote the number of chores Trevor chooses to do each week by the variable x. Then, the number of chores he does not do, will be 8 - x, since he has a total of 8 assigned chores each week. Since each chore is worth a point, and each point I worth $2, the amount of money he earns by doing x chores is $(2x), and the amount of money he loses by not doing (8 - x) chores is $2(8 - x). His total "balance" for each week, denoted by B, will then...http://www.enotes.com/homework-help/write-an-equation-problem-then-use-equation-answer-470709Sun, 31 Aug 2014 12:54:21 PST