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# Recent problems solved by 'Fombitz'

Fombitz answered: 13805 problems
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 Average/317542: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent 3x – 2.5y = 7.125 2.5x – 3y = 7.3125 1 solutions Answer 227471 by Fombitz(13828)   on 2010-06-25 23:12:45 (Show Source): You can put this solution on YOUR website!1. 2. Multipy both equations by 16 first. 1. 2. Multiply eq. 1 by (5) and eq. 2 by (-6) and add them, Then use either equation to solve for x, This system has one solution. It's indepedent.
 Number-Line/317547: Graph -5/2 and -3 on a number line. Compare the numbers in an inequality form.1 solutions Answer 227468 by Fombitz(13828)   on 2010-06-25 23:04:22 (Show Source): You can put this solution on YOUR website! . . .
 Travel_Word_Problems/317587: An airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind? 1 solutions Answer 227466 by Fombitz(13828)   on 2010-06-25 23:02:28 (Show Source): You can put this solution on YOUR website!Rate*Time=Distance . . Let V be the speed of the plane in still air. Let W be the wind speed. . . 1. . . . 2. . . Add eq. 1 and eq. 2, kph . . kph
 Equations/317577: Simplify. (b^3a^5z^6)/(b^4a)1 solutions Answer 227462 by Fombitz(13828)   on 2010-06-25 22:56:50 (Show Source):
 Quadratic_Equations/317554: How do you find an equation with the solutions -9 and -7? Also, could you show me the solution and possibly another example of this type of quadratic equation.1 solutions Answer 227460 by Fombitz(13828)   on 2010-06-25 22:55:16 (Show Source): You can put this solution on YOUR website!A quadratic equation with roots and can take the form of, . In your example, Similarly, and are roots for
 Linear-equations/317642: Find a formula for the linear function given below. The function f has f(9)=-39 and f(16)=-81 f(x)= i have no clue how to find a formula for the function, if you can help me that would be great!1 solutions Answer 227458 by Fombitz(13828)   on 2010-06-25 22:53:05 (Show Source): You can put this solution on YOUR website!Linear functions have the form, Calculate the slope, ,using the two points, (,) and (,) Then use either point to find . . . .
 Parallelograms/317567: Plot the points (1,2) (8,3) (9,6) (2,5), and verify that the points form the polygon (parallelogram)1 solutions Answer 227457 by Fombitz(13828)   on 2010-06-25 22:49:23 (Show Source):
 Polynomials-and-rational-expressions/317627: what are the restrictions on x ²+2x = 0 ? thanks!1 solutions Answer 227456 by Fombitz(13828)   on 2010-06-25 22:45:25 (Show Source): You can put this solution on YOUR website!No restrictions on the domain.
 Quadratic_Equations/317553: Can I have help finding the vortex, line of symmetry, maximum/minimum and if the graph opens up or down for the quadratic equation: f(x)= 3x^2-6x+61 solutions Answer 227417 by Fombitz(13828)   on 2010-06-25 16:25:03 (Show Source): You can put this solution on YOUR website!Convert to vertex form, by completing ths square. (h,k) is then the vertex. The vertex is (,). The axis of symmetry contains the vertex and is . The coefficient of term is positive so the parabola opens upwards and the vertex value is the minimum value. . . .
 Quadratic_Equations/317549: Quadratic equation: Solve for a, assume all variables represent non negative numbers: a^2+1^2=g^2 Could you please show the steps of how to solve this equation.1 solutions Answer 227416 by Fombitz(13828)   on 2010-06-25 16:19:38 (Show Source): You can put this solution on YOUR website! and However the assumption is that a is not negative,
 expressions/317564: Simplify: [2^3+4(7-3)]/8.1 solutions Answer 227415 by Fombitz(13828)   on 2010-06-25 16:17:28 (Show Source):
 Angles/317562: In a triangle ABC, angle B is 4 times angle A and angle C is 15 degrees less than 5 times angle A. Find the size of the angles.1 solutions Answer 227414 by Fombitz(13828)   on 2010-06-25 16:15:31 (Show Source): You can put this solution on YOUR website!The sum of the angles in a triangle is 180. . . . .
 Expressions-with-variables/317545: I have two questions I need help working through: 1) Multiply. Write the answer in a + bi form. (5-i)(3+i) 2) Perform the operation. Write the answer in a + bi form. 3 / 1 + i Can you please help me work through these? Jerry jerry@san.rr.com 1 solutions Answer 227413 by Fombitz(13828)   on 2010-06-25 16:03:46 (Show Source): You can put this solution on YOUR website!Use the FOIL method. . . .
 Polynomials-and-rational-expressions/317552: Solve: s= -1/2gt^2 + vt for g.1 solutions Answer 227412 by Fombitz(13828)   on 2010-06-25 15:52:38 (Show Source):
 Systems-of-equations/317544: Rewrite without parenthesis and simplify. (7t-6)^21 solutions Answer 227410 by Fombitz(13828)   on 2010-06-25 15:34:42 (Show Source): You can put this solution on YOUR website!Use the FOIL method.
 Average/317538: Solve each system by addition 2x = 2 – y 3x + y = -1 1 solutions Answer 227409 by Fombitz(13828)   on 2010-06-25 15:33:01 (Show Source): You can put this solution on YOUR website!1. 2. Multiply eq. 1 by (-1) and add to eq. 2, Then use either equation to solve for y.3
 Angles/317540: 1) find angle complement of itself 2) Angle equal to the supplement 3) Angle double to the supplement Please assist on above query . Thankful if same is answered in rekhaksn@gmail.com 1 solutions Answer 227408 by Fombitz(13828)   on 2010-06-25 15:16:08 (Show Source): You can put this solution on YOUR website!1) . . . 2) . . . 3) . . .
 Average/317539: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent X – y = 3 -6x + 6y = 17 1 solutions Answer 227406 by Fombitz(13828)   on 2010-06-25 15:12:58 (Show Source): You can put this solution on YOUR website!1. 2. Multiply eq. 1 by 6 and add to eq. 2, These lines are parallel. There is no solution. Independent, inconsistent.
 Average/317533: Solve each system by addition. x – 2y = -1 -x + 5y = 4 1 solutions Answer 227405 by Fombitz(13828)   on 2010-06-25 15:08:58 (Show Source): You can put this solution on YOUR website!1. 2. Add the equations, Then use either equation,
 Average/317534: What is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2, and 2?1 solutions Answer 227404 by Fombitz(13828)   on 2010-06-25 15:07:12 (Show Source): You can put this solution on YOUR website! or approximately,
 Equations/317531: Simplify your answer. (5u+6x+5)(u+4x+7)1 solutions Answer 227403 by Fombitz(13828)   on 2010-06-25 15:05:41 (Show Source):
 Travel_Word_Problems/317526: Car A is currently 80 km south of a perpendicular intersection with an east-west road. Car B is on the east-west road, 260 km west of the same intersection. Car A is travelling north at 80 km/h; Car B is travelling east at 100 km/h. Assuming that the cars will continue in a straight line with constant velocities, after 2 hours how fast is the distance between the two cars changing?1 solutions Answer 227402 by Fombitz(13828)   on 2010-06-25 15:00:05 (Show Source): You can put this solution on YOUR website!Let's call A, the distance from the intersection to car A. Let's call B, the distance from the intersection to car B. The distance between the cars is D. A and B form a right triangle with D as the hypotenuse. If you differentiate with respect to time, After 2 hours, . . . . . . The only issue remaining is the sign of the rate of change. Distance A is growing while Distance B is diminishing (A is growing slower than B). Distance D is therefore diminishing. km/h
 Average/317530: A drug is injected into a patient and the concentration of the drug is monitored. The drug's concentration, C(t), in milligrams per liter after t hours is modeled by C(t)=(7t)/(2t^2+3). Estimate the drug's concentration after 4 hours. Round to the nearest hundreth. The choices are 2.69 m/l, 2.55 m/l, 0.94 m/l and 0.80 m/l. I cannot get any of these answers when I try to solve the problem. Ken1 solutions Answer 227393 by Fombitz(13828)   on 2010-06-25 14:37:08 (Show Source):
 Equations/317525: (w^3)^-71 solutions Answer 227392 by Fombitz(13828)   on 2010-06-25 14:35:08 (Show Source):
 Expressions-with-variables/317492: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. Y = -3x + 19 Y = 2x – 1 1 solutions Answer 227391 by Fombitz(13828)   on 2010-06-25 14:34:37 (Show Source): You can put this solution on YOUR website!1. 2. Substitute eq. 2 into eq. 1, Now use either equation to solve for y. One solution, the equations are independent.
 Miscellaneous_Word_Problems/317487: A ball loses half of its energy every time it hits a surface. After each bounce, it rises to half the height from which it fell. After how many bounces will it rise to a height of less than 1 metre, if the ball initially falls from a height of l00 metres? A)5 B)6 C)7 D)8 E)91 solutions Answer 227390 by Fombitz(13828)   on 2010-06-25 14:29:48 (Show Source): You can put this solution on YOUR website! . . . C) is the correct answer.
 expressions/317522: Simplify. Write the answer without parentheses. (b^2/-2a)^31 solutions Answer 227389 by Fombitz(13828)   on 2010-06-25 14:26:41 (Show Source):
 Equations/317527: Simplify. Use only positive exponents in your answer. 4z^7u^9 x 3y^-1z^-5 x 4u^-9y1 solutions Answer 227387 by Fombitz(13828)   on 2010-06-25 14:24:32 (Show Source): You can put this solution on YOUR website!I think you're using "x" to signify multiplication?
 Miscellaneous_Word_Problems/317481: Hooke's Law states that the distance a spring strethes varies directly as the weight on the spring. A weight of 67 pounds stretches a spring 6 inches. How far will a weight of 81 pounds stretch the spring? Round to the nearest tenth of an inch. Please show me how to work this! thank you in advance cz1 solutions Answer 227384 by Fombitz(13828)   on 2010-06-25 14:03:08 (Show Source): You can put this solution on YOUR website! Use your data to determine k. So then the equation is, , when is in lbs, in inches. When lbs, then or approximately inches.
 Expressions-with-variables/317493: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. Y = -4x – 7 Y = 3x 1 solutions Answer 227383 by Fombitz(13828)   on 2010-06-25 13:58:27 (Show Source): You can put this solution on YOUR website!1. 2. Substitute eq. 2 into eq. 1, Then from eq. 2, . . . There is one solution, the equations are independent.
 Inverses/317501: Find the inverse of the followin matrix, if the inverse exists. A = [2 1 0] [0 2 1] [1 0 -1]1 solutions Answer 227380 by Fombitz(13828)   on 2010-06-25 13:56:02 (Show Source): You can put this solution on YOUR website![A]= . . . det[A]= . . . [A]inv=