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 Exponential-and-logarithmic-functions/317239: Please Show work: Subtract: 4/6(x-1) - 3/6(x-1) would this be 1/6(x-1)? (4-1)/6(x-1) or could it simply be 1 because 6(x-1) cancels out...? or is it something completely different?1 solutions Answer 227137 by Fombitz(13828)   on 2010-06-24 16:28:30 (Show Source): You can put this solution on YOUR website!You're on the right track. You can subtract fractions as long as you have the same denominator. In this case you do. You could also substitute to make it more visible. If you let then the equation becomes, However the denominator does go away or cancel out, it stays.
 Radicals/317278: Simplify Sqrt(2w^2x^7)* sqrt(18wx^5) is it?? 6wx^6 sqrt(w)1 solutions Answer 227135 by Fombitz(13828)   on 2010-06-24 16:24:28 (Show Source): You can put this solution on YOUR website! Yes, that's what I get too. Good work!
 Equations/317272: Divide and simplify 5x-10/33 divided by x-2/6x1 solutions Answer 227133 by Fombitz(13828)   on 2010-06-24 16:21:59 (Show Source): You can put this solution on YOUR website!Dividing by a fraction is equivalent to multiplying by its reciprocal.
 Radicals/317276: Simplify: sqrt (6/11) a) 6 b) 6 sqrt (11) c) sqrt (66/11) d)6 sqrt (11/11)1 solutions Answer 227132 by Fombitz(13828)   on 2010-06-24 16:17:27 (Show Source): You can put this solution on YOUR website! I think that's answer 3 but it's not written correctly.
 Linear-systems/317271: Solve the following system of equations using the inverse matrix method. x+3y=6 x-2z=-1 3y+z=5 x= y= z=1 solutions Answer 227131 by Fombitz(13828)   on 2010-06-24 16:15:04 (Show Source): You can put this solution on YOUR website![A]= [x]= [b]= . . . det[A]= . . . [A]inv= . . [x]=
 Polynomials-and-rational-expressions/317144: Add and simplify: ((-7)/(x-2))+((3-2x)/(x))1 solutions Answer 227123 by Fombitz(13828)   on 2010-06-24 15:32:48 (Show Source): You can put this solution on YOUR website!Use a common denominator,
 Travel_Word_Problems/317150: When a car traveling on wet pavement at a speed V in miles per hour stops suddenly, it will produce skid marks of length S feet according to the formula V=2(!3S) If the length of the skid mark S (for a car that was in an accident)was 243 feet, A) to find the speed V of a car. B) If the speed limit on that road was 40 miles, by how many miles did the driver exceed the speed limit?1 solutions Answer 227120 by Fombitz(13828)   on 2010-06-24 15:28:56 (Show Source): You can put this solution on YOUR website!Can you clarify your equation? V=2(!3S)
 Word_Problems_With_Coins/317164: A cash register contains 18 quarters and dimes. Find the total value of the coins in terms of quarters, q.1 solutions Answer 227119 by Fombitz(13828)   on 2010-06-24 15:28:00 (Show Source): You can put this solution on YOUR website!1. Let T be the total value of the register, From 1, . . .
 test/317260: Can intermediate value theorem be used to determine whether the function f(x)=∣x∣−1 has a zero between x=−3 and x=3 ? Explain.1 solutions Answer 227116 by Fombitz(13828)   on 2010-06-24 15:24:22 (Show Source): You can put this solution on YOUR website!No. . . All you can say is that on [-3,3] there is a value of where . But you already know that because . So the intermediate value theorem can't help here.
 Polynomials-and-rational-expressions/317160: Solve for z 6+(5/z-1)=(6/z+3)1 solutions Answer 227115 by Fombitz(13828)   on 2010-06-24 15:23:30 (Show Source): You can put this solution on YOUR website! Multiply both sides by the common denominator, Two solutions: . . .
 Inequalities/317210: 5 + (-8)>4 (-2) + 11 solutions Answer 227113 by Fombitz(13828)   on 2010-06-24 15:19:03 (Show Source): You can put this solution on YOUR website! True.
 Polynomials-and-rational-expressions/317248: 1 solutions Answer 227109 by Fombitz(13828)   on 2010-06-24 15:16:00 (Show Source): You can put this solution on YOUR website!Please re-post your question.
 test/317256: Can intermediate value theorem be used to determine whether the function f(x)=∣x∣−1 has a zero between x=−3 and x=3 ? Explain.1 solutions Answer 227107 by Fombitz(13828)   on 2010-06-24 15:15:22 (Show Source): You can put this solution on YOUR website!No. . . All you can say is that on [-3,3] there is a value of where . But you already know that because . So the intermediate value theorem can't help here.
 Geometry_Word_Problems/317172: the length of a rectangle exceeds its width by 3 inches, and the area is 54 square inches. what are the length and width of the rectangle?1 solutions Answer 227105 by Fombitz(13828)   on 2010-06-24 15:11:10 (Show Source): You can put this solution on YOUR website! Two solutions but only the positive solution makes sense here. Then
 Polynomials-and-rational-expressions/317254: Find an nth degree polynomial function with real coefficients satisfying the given conditions. n=3; 3 and i are zeros; f(2)=101 solutions Answer 227103 by Fombitz(13828)   on 2010-06-24 14:55:55 (Show Source): You can put this solution on YOUR website!Since is a root, then is also a root since complex roots only occur in complex conjugate pairs. . . . . . Use the point to solve for A. . . . . .
 test/317255: Using the intermediate value theorem determine, if possible, whether the function f(x)=2x^5−7x+1 has a real zero between x=1 and x=2.1 solutions Answer 227101 by Fombitz(13828)   on 2010-06-24 14:50:11 (Show Source): You can put this solution on YOUR website! . . . Since , then by the intermediate value theorem, there is an , (), such that .
 Exponential-and-logarithmic-functions/317236: Please Show Work: Add 8/x+9 + 5/x-91 solutions Answer 227094 by Fombitz(13828)   on 2010-06-24 13:57:25 (Show Source): You can put this solution on YOUR website!Use a common denominator,
 Probability-and-statistics/317225: The heights of all female college basketball players are normally distributed with a mean of 68 inches and a standard deviation of 2 inches. The probability that the height of a randomly selected female college basketball player is between 65.5 and 70.5 inches is?1 solutions Answer 227093 by Fombitz(13828)   on 2010-06-24 13:54:47 (Show Source): You can put this solution on YOUR website!Find the z scores. P()=
 Triangles/317235: the longest side of a triangle is 100 inches, the shortest side is 28 inches. How many incehs is the third side?1 solutions Answer 227091 by Fombitz(13828)   on 2010-06-24 13:50:07 (Show Source): You can put this solution on YOUR website!More information is needed. Is it possibly a right triangle? Please repost.
 Probability-and-statistics/317201: The mean SAT score in mathematics is 485. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis H_0and the alternative hypothesis H_1that they would use. H_0= H_1= 1 solutions Answer 227090 by Fombitz(13828)   on 2010-06-24 13:49:07 (Show Source): You can put this solution on YOUR website!The null hypothesis would be H0:. Their training increases test scores beyond the mean SAT score. . . . The alternative hypothesis would be H1:.
 Numbers_Word_Problems/317155: Write the simplest form the ratio of the shaded area of the figure to the total area of the figure. This is a box with a triangle in the middle. The length of the box is x+8...the width of the box is x+4. The shaded triangle inside has a length of x+4....the width is 2x. Once again the back of the box says that the answer is x ---- x+8 but I am not sure how they got there. The most important part!! 1 solutions Answer 227089 by Fombitz(13828)   on 2010-06-24 13:43:39 (Show Source): You can put this solution on YOUR website!The area of the box is, The area of the triangle is, The ratio of Triangle area to Box area is,
 Polynomials-and-rational-expressions/317148: Simplify (x^2-12x+35)/(2x^2-14x+20)1 solutions Answer 227088 by Fombitz(13828)   on 2010-06-24 13:39:28 (Show Source):
 test/317215: Find the zeros of the polynomial function f(x)=x^7−x^5−16x^3+16x and state the multiplicity of each. 1 solutions Answer 227087 by Fombitz(13828)   on 2010-06-24 13:35:02 (Show Source): You can put this solution on YOUR website! As you see from the graph, there are 5 real roots. x=-2,-1,0,1,2 Each root has multiplicity of 1. . . . The polynomial found by these zeros is, Divide the original polynomial by this polynomial to find the quadratic remainder. . . . First factor: Subtract this from the original polynomial to get the remainder, . . . Next factor: Subtract this from the remainder . . . So the remainder quadratic is which has complex roots (,) . . .
 Graphs/317218: determine whether (7,11) is a solution of y-10x-101 solutions Answer 227084 by Fombitz(13828)   on 2010-06-24 13:20:28 (Show Source): You can put this solution on YOUR website!You can't have a solution to an expression. You need to have an equation. Should it be, ??? . . . Please repost.
 Inequalities/317222: Solve. sqrt 9x+67 = x+51 solutions Answer 227083 by Fombitz(13828)   on 2010-06-24 13:19:21 (Show Source): You can put this solution on YOUR website! Two solutions: . . .
 Polynomials-and-rational-expressions/317228: m^2-4mn-12n^21 solutions Answer 227082 by Fombitz(13828)   on 2010-06-24 13:17:13 (Show Source):
 Problems-with-consecutive-odd-even-integers/317224: the product of two even integers is 168. find the integers1 solutions Answer 227081 by Fombitz(13828)   on 2010-06-24 13:16:06 (Show Source): You can put this solution on YOUR website! 2,84 4,42 6,28 12,14 and the negative ones too. -2,-84 -4,-42 -6,-28 -12,-14
 Probability-and-statistics/317226: you have a 3 card deck containing a queen king and a jack you draw a card randomly, put the card back and draw another.calculate the probability you draw 1 queen1 solutions Answer 227080 by Fombitz(13828)   on 2010-06-24 13:11:07 (Show Source): You can put this solution on YOUR website!There are 9 possible draws. K K K Q K J Q K Q Q Q J J K J Q J J Of those 9 draws, 5 of them had at least 1 Queen. P(at least 1 Q)=5/9
 Radicals/317157: Simplify: sqrt (21) (sqrt(7) + sqrt(3)) a) 7 sqrt (3) + 3 sqrt(7) b) 7 sqrt(3) + sqrt (3) c) sqrt (210) d) sqrt (147) + sqrt (63)1 solutions Answer 227072 by Fombitz(13828)   on 2010-06-24 11:34:39 (Show Source): You can put this solution on YOUR website! a) is the correct answer.
 Numbers_Word_Problems/317198: The product of two consecutive even integers is 168. Find the integers1 solutions Answer 227071 by Fombitz(13828)   on 2010-06-24 11:32:11 (Show Source): You can put this solution on YOUR website! Complete the square. Two solutions: The integers would be -14 and -12. . . . The integers would be 12 and 14.