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# Recent problems solved by 'Gogonati'

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 Quadratic_Equations/714624: How would you find the roots and vertex of y=8x(squared)+16x?1 solutions Answer 438924 by Gogonati(809)   on 2013-02-14 19:17:04 (Show Source): You can put this solution on YOUR website! To find the roots solve y=0 the roots are x=0 or x=-2 The vertex is the point (x,y) where ,and .
 Inequalities/714635: Express the set -4 x+18 < 2 x+12 using interval notation.1 solutions Answer 438921 by Gogonati(809)   on 2013-02-14 18:59:55 (Show Source): You can put this solution on YOUR website!-4x-2x<12-18 -6x<-6 Divide both sides by -6 and reverse the inequation. x>1 solution: (1,)
 Probability-and-statistics/714645: 4to9=10tox1 solutions Answer 438919 by Gogonati(809)   on 2013-02-14 18:53:37 (Show Source): You can put this solution on YOUR website! Cross-multiply Divide by 4 both sides
 Graphs/713382: If the graph of the equation ax-4y=12 is parallel to the graph of the equation 2x-y=3, find the value of a. 1 solutions Answer 438406 by Gogonati(809)   on 2013-02-11 19:43:47 (Show Source): You can put this solution on YOUR website!The slope of the line 2x-y=3 or y=2x+3 is m=2. since lines are parallel the slopes are equal:4y=ax-12 or Thus or a=8.
 Linear-equations/713365: write an equation describing the line that is parallel to the y-axis and that is 6 units to the right of the y-axis1 solutions Answer 438404 by Gogonati(809)   on 2013-02-11 19:33:12 (Show Source): You can put this solution on YOUR website!The equation of y-axis is x=0 The equation of requested line will be:x=6.
 Sequences-and-series/713371: how do i figure out the sequence of 7, 3, -1, -5 thank you amy1 solutions Answer 438400 by Gogonati(809)   on 2013-02-11 19:24:25 (Show Source): You can put this solution on YOUR website!We see the difference between two successive terms: 3-7=-4, -1-3=-4, -5-(-1)=-4. The difference of this sequence is -4 the sequence will be:7, 3, -1, -5, -9, -13, -17, ...
 test/710982: -10<3x-4<51 solutions Answer 437262 by Gogonati(809)   on 2013-02-05 22:37:35 (Show Source): You can put this solution on YOUR website!Adding 4 we get: Simplify Divide by 3 The solution is the interval (-2,3)or the solution set [x from R such that:]
 Trigonometry-basics/711009: Verify the Identity. (Use of Pythagorean Identities) csc x - sin x = cos x cot x1 solutions Answer 437259 by Gogonati(809)   on 2013-02-05 22:26:37 (Show Source): You can put this solution on YOUR website! multiply both sides by sinx
 Functions/710470: suppose that for some function g, g(x+5)=3x+2. find g(-2)1 solutions Answer 437014 by Gogonati(809)   on 2013-02-04 22:45:48 (Show Source): You can put this solution on YOUR website!g(x+5)=g(-2) if x+5=-2 or x=-7 Since g(-7)=3x+2 we get 3(-7)+2=-19 As a conclusion g(-2)=-19.
 absolute-value/710487: What is the answer to |5x+9|+6=1-> The last equation has no solution because the absolute value is always positive.1 solutions Answer 437010 by Gogonati(809)   on 2013-02-04 22:32:31 (Show Source): You can put this solution on YOUR website!By the abs. value definition we have to equations: 1. if The solution is and the root is 2. if The solution is and the root is
 Linear-equations/710483: Write the equation of the line containing the given point and parallel to the given line (8, -4) 5x-9y=4 1 solutions Answer 437006 by Gogonati(809)   on 2013-02-04 22:09:32 (Show Source): You can put this solution on YOUR website!write the equation in the slope-intercept form. -> the slope of the line is Parallel lines have the same slope. The equation of the line through the point (8,-4)is: Simplify and get: Multiply both sides by 9: Write the equation in standard form.
 Polynomials-and-rational-expressions/709936: How do you solve x^3+10x^2+25x=0?1 solutions Answer 436820 by Gogonati(809)   on 2013-02-03 21:46:02 (Show Source): You can put this solution on YOUR website!Factor x x=0 is one solution. Factor: x=-5 is the other solution.
 Functions/709433: Given f(x) = 2x - 1 and g(x) = 2/x+1 for x>-1, find fg(5)1 solutions Answer 436588 by Gogonati(809)   on 2013-02-02 12:08:17 (Show Source):
 Geometry_Word_Problems/709460: Find the area of a square whose side length is one fourth the value of its area.1 solutions Answer 436587 by Gogonati(809)   on 2013-02-02 12:00:44 (Show Source): You can put this solution on YOUR website!Solution: Let the side of square be x then its area is The sln. x=0 is not allowed. Thus Answer: The side of square is 4.
 logarithm/709448: 5x^(2/3)-4=161 solutions Answer 436586 by Gogonati(809)   on 2013-02-02 11:51:06 (Show Source): You can put this solution on YOUR website! Cubed both sides and get: Simplify Take the square root for both sides Check: -> ->
 Equations/709457: how would i solve? 4x=3(x-2)+301 solutions Answer 436585 by Gogonati(809)   on 2013-02-02 11:38:59 (Show Source): You can put this solution on YOUR website! Solution: 4x=3x-6+30 4x-3x=24 x=24
 Geometric_formulas/708885: Find the slope of the line containing points (-6, 4) and (3, 2).1 solutions Answer 436306 by Gogonati(809)   on 2013-01-31 16:30:19 (Show Source): You can put this solution on YOUR website! The equation is: After simplifying we get:
 Graphs/708889: what does y=x^2+2 look like1 solutions Answer 436303 by Gogonati(809)   on 2013-01-31 16:21:16 (Show Source):
 test/707550: The opposite angle of a parallelogram are (3x-2)and (50-x)find the measure of each angle of parallelogram 1 solutions Answer 435734 by Gogonati(809)   on 2013-01-28 23:09:09 (Show Source): You can put this solution on YOUR website!Since the opposite sides of parallelogram are equal. Each angle is equal to 37 degree.
 Linear-equations/707541: find the slope of a line parallel to the graph of each equation 3x+4y=121 solutions Answer 435731 by Gogonati(809)   on 2013-01-28 22:54:25 (Show Source): You can put this solution on YOUR website!Write the equation in the slope-intercept form: y=mx+b 4y=12-3x Divide both sides by 4: The parallel lines have the same slop:
 Linear_Equations_And_Systems_Word_Problems/706874: A square has side length s, while an equilateral triangle has length s+1. Write and solve a system of linear equalities to determine the length of the side at which the perimeters of the triangle and the rectangle would be equal.1 solutions Answer 435416 by Gogonati(809)   on 2013-01-27 17:04:11 (Show Source): You can put this solution on YOUR website!Let's the perimeter of square or triangle is p. the system will be: , substitute and get: => => The perimeter of square or equilateral triangle is 12cm and the side of square is 3 cm while the side of equilateral triangle is 4cm.
 Quadratic-relations-and-conic-sections/706357: Can I get a step by step of this? A conic section has the equation x2 + y2 + 12x + 8y = 48. Determine the following: type of conic, domain and range, axes of symmetry, and center. 1 solutions Answer 435115 by Gogonati(809)   on 2013-01-25 22:48:36 (Show Source): You can put this solution on YOUR website! As you see I add to both sides of equation the same sum Which is a circle.
 Square-cubic-other-roots/706359: square root of -5 times square root of -5.1 solutions Answer 435113 by Gogonati(809)   on 2013-01-25 22:20:50 (Show Source): You can put this solution on YOUR website! is not defined in the set of real numbers. For complex numbers we can argue the following:Since we write: , because
 Polynomials-and-rational-expressions/660496: Please help me solve for C: 27(C − 57) = 25,6501 solutions Answer 411210 by Gogonati(809)   on 2012-10-02 12:23:52 (Show Source): You can put this solution on YOUR website!Using distributive property we get:27C-1539=25650 => 27C=25650+1539 => 27C=27189 Divide both sides by 27 and get the result: C=1007.
 Linear_Algebra/660484: What is the standard form of y=7x+151 solutions Answer 411209 by Gogonati(809)   on 2012-10-02 12:18:21 (Show Source): You can put this solution on YOUR website!The standard form of linear equation is: ax+by=c. In our case the standard equation will be:7x-y=-15.
 Exponential-and-logarithmic-functions/660485: What are the two values of x? 3^(x-x^2)=1/81x1 solutions Answer 411208 by Gogonati(809)   on 2012-10-02 12:15:10 (Show Source): You can put this solution on YOUR website! because Solving this quadratic equation we get: . The two values of x are: {0, 5}
 Linear-equations/660490: Find slope for the given equation of line: 5x + 2y = 101 solutions Answer 411207 by Gogonati(809)   on 2012-10-02 12:06:17 (Show Source): You can put this solution on YOUR website!We transform the equation in the slope intercept form: . From the final equation we get the slope
 logarithm/660455: Log(6x-1)+ log x= 1/2 log 41 solutions Answer 411203 by Gogonati(809)   on 2012-10-02 11:40:12 (Show Source): You can put this solution on YOUR website!Using log properties we get: Solving the final quadratic equation we get the solution set: {-1/2, 2/3}
 Exponents/660476: Hi I have a question on fractions, it is "evaluate 1/4 to the fifth power."1 solutions Answer 411202 by Gogonati(809)   on 2012-10-02 11:30:12 (Show Source):
 Linear-equations/660472: Please tell me the standard equation for the line -2x + y = 7. Is it 2x - y = -7? Thank you.1 solutions Answer 411200 by Gogonati(809)   on 2012-10-02 11:26:41 (Show Source): You can put this solution on YOUR website!The standard form of the line equation is: y=ax+b. In our case we have y=2x+7.
 Travel_Word_Problems/660466: Suppose a car purchased for \$22,225 is expected to depreciate according to the formula y = −1,270x + 22,225, where y is the value of the car after x years. When will the car be worthless?1 solutions Answer 411198 by Gogonati(809)   on 2012-10-02 11:13:01 (Show Source): You can put this solution on YOUR website!The car will be worthless where y=o or -1,270x+22,225=0 => x=17.5 year.