Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 209639: Please help!

Solve by elimination method:

4x+ 5y = 2
8x + 10y = 4
Either the solution is an ordered pair (____,____)
or
there are infinitely many solutions ____

Click here to see answer by checkley77(12569) About Me 

Question 209614: Help please!
Let f(x) = x2 - 8x + 16. Find x so that f(x) = 22

Click here to see answer by nerdybill(6958) About Me 

Question 209635: There is a two-digit number such that the sum of its digits is 6, while the product of the digits is 1/3 the original number. Find this number.
Click here to see answer by checkley77(12569) About Me 
Question 209635: There is a two-digit number such that the sum of its digits is 6, while the product of the digits is 1/3 the original number. Find this number.
Click here to see answer by Alan3354(30993) About Me 

Question 208462: 7/2x-1=2x+5
Click here to see answer by MathTherapy(1423) About Me 

Question 209637: A rectangular tank can be filled with water by two pipes in 11-1/9 minutes. If the larger pipe alone takes 5 minutes less to fill the tank than the smaller pipe,find the time each pipe takes to fill the tank.
Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 209698: Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.
I've gone over and over trying this problem different ways. I've converted the time into 216 minutes and still can't figure out what I'm doing wrong.

Click here to see answer by Alan3354(30993) About Me 

Question 209753: the manager of farmers delight bought a load of watermelons for $750 and priced the watermelons so that he would make $2 on each melon. when all but 100 of the melons had been sold, he broke even. how many did he originally buy?
Click here to see answer by 314(4) About Me 

Question 209757: Solve by using quadratic formula: 4x squared minus 4 x equals -15.
Click here to see answer by jim_thompson5910(28593) About Me 

Question 209704: I need help expressing the following quadratic expression in factored from by using the quadratic formula : x^2-2ax+a^2-b^2
Click here to see answer by jim_thompson5910(28593) About Me 

Question 209831: Write the extremes and means of the proportion:
2/6 = 1/3
i do not understand how to answer this quention.

Click here to see answer by nyc_function(2733) About Me 

Question 209809: I have a word problem I need help figering out. I need help on it asap. Please explain how you got the answer.
Looking out on the balcony of a cabin I see a lake were I can go fishing. My cabin balcony is on the 3rd floor. Using formula d=√[3h/2]. I want to find how far away the lake is from my cabin. I say I am about 36 feet up.

Click here to see answer by nyc_function(2733) About Me 

Question 209862: I need to solve for x using the quadratic equation. The problem is... "(5/(w^2))-(10/w)+2=0. I need to solve for x, I need more than an answer, I need the steps.
Click here to see answer by stanbon(57307) About Me 

Question 210011: High concentrations of Carbon Monoxide (CO) can cause coma and possible death. The time required for a person to reach a COHb level capable of causing a coma can be approximated by the quadratic model. T=.0002x^2 - .316x + 127.9, where T is the exposure time in hours necessary to reach this level and 500<= x <=800 is the amount of carbon monoxide present in the air in parts per million (ppm).
Estimate the approximate concentration of (CO) necessary to produce a coma in 4 hrs?.

Click here to see answer by stanbon(57307) About Me 

Question 210045: A rocket is launched from atop a 43-foot cliff with an initial velocity of 70 feet per second. The height of the rocket t seconds after launch is given by the equation h = -16t^2 + 70t + 43. Graph the equation to find out how long after the rocket is launched it ill hit the ground. Estimate your answer to the nearest tenth of a second.
Click here to see answer by Alan3354(30993) About Me 

Question 210149: Is this correct?
3%5E2-5x%2B4+=+0
x = 25 +-Square root -23i over 6?

Click here to see answer by jim_thompson5910(28593) About Me 

Question 210159: solve 3x^2-7x-6=0
Click here to see answer by jim_thompson5910(28593) About Me 

Question 210170: The mat around a picture measures (x) inches across. The mat is 37 inches long and 24 inches wide. The area of the picture itself is 300 square inches. set up an equation that expresses the area of the picture in terms of the thickness of the mat, (x).
My answer is (37-x)(24-x)=300, but i dont think its right.

Click here to see answer by scott8148(6628) About Me 

Question 210176: 3/4 -1/3z = 1/4
Click here to see answer by stanbon(57307) About Me 

Question 210187: solve by factoring z^2-5z-14=0
Click here to see answer by jim_thompson5910(28593) About Me 

Question 210195: An object is moving in a straight line. It initially travels at a speed of 9 meters per second, and it speeds up at a constant rate of 2 meters per second each second. Under such conditions, the distance d, in meters, that the object travels is given by the equation d = t^2 + 9t, where t is in seconds. According to this equation, how long will it take the object to travel 22 meters?
Click here to see answer by Alan3354(30993) About Me 

Question 210198: An object is launched straight up into the air at an initial velocity of 64 feet per second. It is launched from a height of 6 feet off the ground. Its height H, in feet, at t seconds is given by the equation H = -16t^2 + 64t + 6. Find all times t that the object is at a height of 54 feet off the ground.
Click here to see answer by Alan3354(30993) About Me 

Question 210229: A building is 2 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 13 feet from the ground. The worker decides the ladder should be placed 8 feet from the fence for stability.
To the neasrest foot, how long of a ladder will be needed?

Click here to see answer by stanbon(57307) About Me 

Question 210237: The sum of three consectuvie integers is 228. Find the integers
Click here to see answer by Alan3354(30993) About Me 

Question 210196: The profit P, in dollars, gained by selling x computers is modeled by the equation
P = -5x^2 +1000x + 5000. How many computers must be sold to obtain a profit of $55,000.00?

Click here to see answer by jim_thompson5910(28593) About Me 

Question 210320: The formula s=16t^2 is used to approximate the distance, s, in feet that an object falls freely in t seconds. Use this formula to sole the problem:
A man drops his keys off a building 1420 feet high. How long does it take the keys, falling freely to hit the ground?

Click here to see answer by Earlsdon(6287) About Me 

Question 210174: A kite is flying on 52 feet of string. How high is it above the ground if it's height is 28 feet more than the horizontal distance from the person flying it? Assume the string is being released at ground level.
Click here to see answer by Earlsdon(6287) About Me 

Question 210323: sorry I already ask this question but i cannot find it again
(x+ 1/x)^2 -2(x+ 1/x)+1=0 this part of equation in quadratic form
I already got an answer x^4-2x^3+3x^2-2x+1=0 But i got stuck here i dont know what to do next
thank you for your help

Click here to see answer by jim_thompson5910(28593) About Me 

Question 210358: Please help me solve this equation: 4x%5E2=25
Click here to see answer by tutor_paul(490) About Me 

Question 210348: An object is launched straight up into the air at an initial velocity of 64 feet per second. It is launched from a height of 6 feet off the ground. Its height H, in feet, at t seconds is given by the equation H = -16t^2 + 64t + 6. Find all times t that the object is at a height of 54 feet off the ground.
Click here to see answer by Alan3354(30993) About Me 

Question 210350: An object is moving in a straight line. It initially travels at a speed of 6 meters per second, and it speeds up at a constant acceleration of 4 meters per second each second. The distance d, in meters, that this object travels is given by the equation d = 2t^2 + 6t, where t is in seconds. According to this
equation, how long will it take the object to travel 108 meters?

Click here to see answer by Alan3354(30993) About Me 

Question 210380: Use the quadratic formula to determine the x intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work.
f(x)=7x^2-2
I have already come up with what I believe is the solution of the quadrtic,
x=0.534 x= -0.534.I don't understand how to get the other points on the graph and have it look like it's supposed to.
Thanks

Click here to see answer by Earlsdon(6287) About Me 
Question 210380: Use the quadratic formula to determine the x intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work.
f(x)=7x^2-2
I have already come up with what I believe is the solution of the quadrtic,
x=0.534 x= -0.534.I don't understand how to get the other points on the graph and have it look like it's supposed to.
Thanks

Click here to see answer by vleith(2825) About Me 

Question 210401: Give exact and approximate solutions to three decimal places. (x-2)^2=45
Click here to see answer by stanbon(57307) About Me 

Question 210452: Good afteroon. I have a question regarding completing the square. Here is the equation: 9x%5E2-18x=-3
I keep coming up with x= 1 plus minus .816 but in class the answer was x=3+square root 6 over 3 and x=3-square root 6 over 3. Does that seem correct? If so I just don't know how it got that way? Any help would be appreciated. :)

Click here to see answer by tutor_paul(490) About Me 

Question 210479: The vertex of a parabola is (-2,4). One x-intercept is -4. What is the other x-intercept.
Click here to see answer by Earlsdon(6287) About Me 

Question 210629: f(x) = 7x2 - 2 how do I use the Quadratic Formula to find the x-intercepts of this equation?
Click here to see answer by jim_thompson5910(28593) About Me 

Question 210648: Hello, I need to solve x%5E2+-+6x+%2B+13 using the quadratic formula.

Click here to see answer by Earlsdon(6287) About Me 

Question 209954: .5/x + 3.5/2x = .25 x=?
Click here to see answer by Tanzem(4) About Me 

Question 210709: A balloon is rising from the ground at 4 feet per second. Another balloon is at 756 feet and descending at 3 feet per second. In how many seconds will the be at the same altitude?
Click here to see answer by Alan3354(30993) About Me 

Question 210728: 1/2X+2=-1/2X
Click here to see answer by stanbon(57307) About Me 

Question 210748: simplify this equation:
-10%285-8%29%5E2%2B2%5E3x1%5E2x3-8%285%29

Click here to see answer by tutor_paul(490) About Me 

Question 210708: A ball is shot into the air. It's height , h in metres after t seconds is modeled by h=-4.9t^2 + 30t +1.6. How long to 2 decimal places will it take the ball to reach a height of 35m?
Click here to see answer by Earlsdon(6287) About Me 

Question 210762: (6x-5)^2/3 = x^1/3
I have no idea what to do.

Click here to see answer by stanbon(57307) About Me 
Question 210762: (6x-5)^2/3 = x^1/3
I have no idea what to do.

Click here to see answer by tutor_paul(490) About Me 

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