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# Recent problems solved by 'Fombitz'

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 Inequalities/348756: please help me describe the expression "all numbers between -3 and 4, including 4" in inequality notation1 solutions Answer 249316 by Fombitz(13828)   on 2010-09-27 16:00:08 (Show Source):
 logarithm/348686: Rewrite the following expression as a simple log: 4logx−2log(x^2+1)+5log(x−1)1 solutions Answer 249315 by Fombitz(13828)   on 2010-09-27 15:59:25 (Show Source):
 Linear_Equations_And_Systems_Word_Problems/348751: Write an equation for a direct variation with a graph that passes through each point. Ex. (6,2)1 solutions Answer 249312 by Fombitz(13828)   on 2010-09-27 15:54:29 (Show Source): You can put this solution on YOUR website!For direct variation,
 Graphs/348753: x^3+x^2-20x<01 solutions Answer 249311 by Fombitz(13828)   on 2010-09-27 15:53:08 (Show Source): You can put this solution on YOUR website! . . . . . . Look for regions where the function is below the x-axis. . . . Solution region:(,) U (,)
 Numbers_Word_Problems/347370: max is thinking of an odd number between 42 and 64. the between the digits is same as the digit in the ones place.what is max's number? 1 solutions Answer 249309 by Fombitz(13828)   on 2010-09-27 15:46:57 (Show Source): You can put this solution on YOUR website!42......64
 Graphs/348673: graph two periods of the given tangent function y= tan(x- pie/4)1 solutions Answer 249305 by Fombitz(13828)   on 2010-09-27 15:42:33 (Show Source):
 Exponents/348730: Simplify 49^5/2 I came up with 7^5 = 16807 Is that simplified enough?1 solutions Answer 249303 by Fombitz(13828)   on 2010-09-27 15:41:31 (Show Source): You can put this solution on YOUR website!Yes,
 Trigonometry-basics/348739: when cos(x)= -(0.25)(7^1/2) what is the value of sin(x) Thanks in advance1 solutions Answer 249299 by Fombitz(13828)   on 2010-09-27 15:36:25 (Show Source):
 Probability-and-statistics/348740: Determine whether each of the following numbers is prime or composite (a)219 (b)791 (c) 1001 1 solutions Answer 249298 by Fombitz(13828)   on 2010-09-27 15:33:17 (Show Source): You can put this solution on YOUR website!a) composite, divisible by 3. b) composite, divisible by 7. c) composite, divisible by 7.
 Problems-with-consecutive-odd-even-integers/348627: Find four consecutive even integers such that the product of -2 and the sum of the first and fourth is 20 less than the opposite of the third.1 solutions Answer 249290 by Fombitz(13828)   on 2010-09-27 15:11:40 (Show Source): You can put this solution on YOUR website!Let the 4 integers be , , , and . The integers are 4,6,8, and 10.
 Polynomials-and-rational-expressions/348623: Divide and Check (a^2-8a-16)/(a+4)1 solutions Answer 249289 by Fombitz(13828)   on 2010-09-27 14:53:32 (Show Source): You can put this solution on YOUR website!Use polynomial long division, a - 12 __________________________ a + 4 | a^2 - 8a - 16 - a^2 + 4a --------------- -12a - 16 - -12a - 48 -------------- 32 . . .
 Graphs/348689: Use the intercepts to graph the equation x+4y=81 solutions Answer 249288 by Fombitz(13828)   on 2010-09-27 14:52:51 (Show Source): You can put this solution on YOUR website!To find the x-intercept, set and solve for . (,) . . To find the y-intercept, set and solve for . (,) . . . Plot the intercepts. Connect them with a line going through both. . . .
 Linear-equations/348693: Solve this equation for h: 5fh + 3t = w1 solutions Answer 249286 by Fombitz(13828)   on 2010-09-27 14:47:52 (Show Source):
 Expressions-with-variables/348714: Find the values of x that satisfy the following equations. 2(3x+5)=6x+111 solutions Answer 249285 by Fombitz(13828)   on 2010-09-27 14:46:42 (Show Source): You can put this solution on YOUR website! Since the equation leads to an inconsitency, there is no solution. There is no value that satisfies this equation.
 test/348709: i need help in algebra and fractions but i have no way to pay you .trying to get my ged can you help me1 solutions Answer 249284 by Fombitz(13828)   on 2010-09-27 14:45:32 (Show Source): You can put this solution on YOUR website!Post a question and someone should be able to help you. Be concise.
 Radicals/348713: Please help me... x - sqrt( 4-3x ) = -8 I know I'm supposed to get the radical by itself. But the answer I got differs from the book. Thank you in advance.1 solutions Answer 249283 by Fombitz(13828)   on 2010-09-27 14:44:45 (Show Source): You can put this solution on YOUR website! Two solutions: . . .
 Exponents/348661: Add or subtract as indicated. Simplify. Show factoring and cancellingm and the steps for finding the lowest common denominator. (Assume that no denominator is 0.) 2x/5y - 3x/4y PLEASE HELP ME I'M STUCK!! Thank you!!1 solutions Answer 249249 by Fombitz(13828)   on 2010-09-27 11:21:04 (Show Source): You can put this solution on YOUR website!You have a common denominator, .
 Probability-and-statistics/348633: A family has 5 children. a. Find the probability that exactly 2 are male b. What is the probability that exactly 2 are female if the first child born is male? c. Find the probability that the last child born is male1 solutions Answer 249247 by Fombitz(13828)   on 2010-09-27 11:16:48 (Show Source): You can put this solution on YOUR website!a) There are or possible combinations of boys and girls. 1 combination has 5 boys, 0 girls 5 combination has 4 boys, 1 girls 10 combination has 3 boys, 2 girls 10 combination has 2 boys, 3 girls 5 combination has 1 boys, 4 girls 1 combination has 0 boys, 5 girls P(2 boys)= . . . b) If the first born is male, then there are 16 possible combinations. 1 combination has 4 boys, 0 girls 4 combination has 3 boys, 1 girls 6 combination has 2 boys, 2 girls 4 combination has 1 boys, 3 girls 1 combination has 0 boys, 4 girls P(2 girls, given first born male)= . . . c)P(last male)=, independent of any previous births.
 Proportions/348628: ((1)/(5)-x):x=(1)/(3):(1)/(6)1 solutions Answer 249233 by Fombitz(13828)   on 2010-09-27 10:13:48 (Show Source):
 Functions/348631: Given r(x)= x/x+4, find r(1/2)1 solutions Answer 249227 by Fombitz(13828)   on 2010-09-27 10:04:04 (Show Source):
 Graphs/348531: I have to solve for an order of pairs. I always miss this type of question. x+9y=5 x=6-9y the solution is ? (type an order of pair1 solutions Answer 249226 by Fombitz(13828)   on 2010-09-27 10:01:15 (Show Source): You can put this solution on YOUR website!1. 2. Use the substitution method. Substitute eq. 2 directly into eq. 1 for x and find y. Your equations lead to an inconsistency. There is no solution. These are two parallel lines that never meet, so there is no intersection (solution).
 Polynomials-and-rational-expressions/348629: factor completely: p^2-10pq+25p^21 solutions Answer 249225 by Fombitz(13828)   on 2010-09-27 09:59:04 (Show Source): You can put this solution on YOUR website!Do you mean ?? . . . If not, then,
 Expressions-with-variables/348530: solve each equation by using the substitution method and the elimination method 2x+3y=0 4x+12=9y1 solutions Answer 249224 by Fombitz(13828)   on 2010-09-27 09:57:29 (Show Source): You can put this solution on YOUR website!Substitution: 1. 2. From eq. 1, Substitute into eq. 2, Then from eq. 1, . . . Elimination: 1. 2. Multiply eq. 1 by 3 and add the equations together, Then from eq. 1,
 Money_Word_Problems/348621: A wallet contains \$460 in \$5, \$10, and \$20 bills. The number of \$5 bills exceeds twice the number of \$10 bills by 4, and the number of \$20 bills is 6 fewer than the number of \$10 bills. How many \$5 bills?1 solutions Answer 249221 by Fombitz(13828)   on 2010-09-27 09:50:58 (Show Source): You can put this solution on YOUR website!Let F be the number of \$5, T the number of \$10, and Y the number of \$20 bills. . . . "A wallet contains \$460 in \$5, \$10, and \$20 bills." 1. "The number of \$5 bills exceeds twice the number of \$10 bills by 4" 2. "the number of \$20 bills is 6 fewer than the number of \$10 bills." 3. Substitute eq. 2 and 3 into eq. 1, Then from eq. 2, Then from eq. 3, You have 8 \$20 bills, 14 \$10 bills, and 32 \$5 bills.
 Length-and-distance/348622: The point (10, 10) is the midpoint of C and D. If the coordinates of C are (15, s) and the coordinates of D are (t, 3), then what are the values of the variables s and t? 1 solutions Answer 249219 by Fombitz(13828)   on 2010-09-27 09:46:16 (Show Source): You can put this solution on YOUR website!Use the midpoint formula. Solve for . . . . Solve for .
 Proportions/348618: 24/40=t/301 solutions Answer 249218 by Fombitz(13828)   on 2010-09-27 09:44:17 (Show Source):
 Linear_Algebra/348607: Find the x- and y-intercepts of the equation x^2+xy+y=11 solutions Answer 249217 by Fombitz(13828)   on 2010-09-27 09:43:00 (Show Source): You can put this solution on YOUR website! . . . First solution: Second solution: . . . . . . x-intercepts:, y-intercepts:
Linear-systems/348482: Help! This is one of my homework questions and I did it, but apparently it isn't right?!
Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. Give the shape as "triangle", "quadrilateral", "pentagon", or "unbounded". Report your vertices starting with the one which has the smallest -value. If more than one vertex has the same, smallest -value, start with the one that has the smallest -value. Proceed clockwise from the first vertex. Leave any unnecessary answer spaces blank. Also give the value of the objective function P=-7x-4y for each vertex.
The inequalities are:
x+y>=18
2y-x<=20
5x-y<=53
x>=0
y>=0
and i must give the shape of the area and the coordinates of each vertex
1 solutions

Answer 249214 by Fombitz(13828)   on 2010-09-27 09:24:49 (Show Source):
You can put this solution on YOUR website!
Graph each line.

The region of interest is the shaded region,
 Solved by pluggable solver: Plot Any Inequality Graphing function :

.
.
.
Find the intersection between the green line and the red line.

(16/3,38/3)
.
.
.

.
.
.

.
.
.
Find the intersection between the blue line and the red line.

Then

(71/6,37/6)
.
.
.
Find the intersection between the blue line and the green line.

Then

(14,17)
.
.
.

So the 3 vertices are :
(16/3,38/3)
(71/6,37/6)
(14,17)
Find the value of P=-7x-4y at each vertex.
I will do one, you do the rest.
(14,17):

 Linear_Equations_And_Systems_Word_Problems/348483: A student adds two displacement vectors that have the magnitudes of 12.0 meters and 5.0 meters. What is a possible answer for the magnitude of the resultant vector?1 solutions Answer 249209 by Fombitz(13828)   on 2010-09-27 08:52:28 (Show Source): You can put this solution on YOUR website!The values can range from the maximum where the vectors are aligned and in opposite directions to the minimum where the vectors are aligned and point in the same direction .
 Mixture_Word_Problems/348538: a 40% solution is to be mixed with a 60% solution to obtain 8 liters of a 55% solution. how many liters of each solution should be used1 solutions Answer 249207 by Fombitz(13828)   on 2010-09-27 08:50:31 (Show Source): You can put this solution on YOUR website!Let be the amount of 40% solution. Let be the amount of 60% solution. Volume eqaution: 1. Concentration equation: 2. Multiply eq. 1 by 2 and subtract it from eq. 2, liters Then from eq. 1, liters
 Evaluation_Word_Problems/348576: Solve 4x+9y=30xy 5x-3y=xy1 solutions Answer 249205 by Fombitz(13828)   on 2010-09-27 08:47:23 (Show Source): You can put this solution on YOUR website! 1. . . . 2. . . . Set eq. 1 equal to eq. 2, Two solutions: . . .