Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 79239: can you help me solve this equation for x?
25x^2=13
Click here to see answer by tutorcecilia(2152)

Question 79241: can you please check this for me? i am solving equation for x
2(x-5)^2=3
(x-5)^2=3/2
x-5=sqrt=sqrt/3
x=5sqrt/3
x=15/3sqrt/3
x=15sqrt/3
Click here to see answer by Edwin McCravy(20054)

Question 79245: help me someone please? i am so lost with this.
Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?

Click here to see answer by stanbon(75887)

Question 79266: write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Slope: -3/4; y-intercept: (0,8)
Click here to see answer by checkley75(3666)

Question 79264: Find the slope and y-intercept of the line represented by each of the following equations.
2x-3y=6

Click here to see answer by checkley75(3666)

Question 79357: I can't seem to solve this problem to graph it, please help: y=x^2+3x+2
Click here to see answer by chitra(359)

Question 79378: can you help me solve by completing the square?
x^2-6x-3=0
Click here to see answer by stanbon(75887)

Question 79377: can someone help me solve for x please?
x^2+4x+4=7
Click here to see answer by jim_thompson5910(35256)

Question 79377: can someone help me solve for x please?
x^2+4x+4=7
Click here to see answer by Edwin McCravy(20054)

Question 79392: Please help answer this question:
The diagonal of a square television screen measures 18 inches. What is the length of the sides?
Click here to see answer by tutorcecilia(2152)

Question 79393: Please help with solving this problem--I'm lost.
When a ball is thrown, its height in feet h after t seconds is given by the equation h=vt-16t, where v is the initial upwards velocity in feet per second. If v=36 feet per second, find all values of t for which h=19 feet. Do not round any intermediate steps. Round your answers to 2 decimal places.
Thanks so much!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 79399: I don't know what to do with this one. Please help. Here goes:
Find two positive numbers that differ by 2 and have a product of 20. Match your result to the correct answer below:
1-sqrt21, 3-sqrt21
-1+sqrt21, -1-sqrt21
-1+sqrt21, 1+sqrt21
-1+sqrt21, -3+sqrt21
Please help. Thanks
Click here to see answer by Earlsdon(6294)

Question 79403: I've got a word problem that has me stumped. Here it is:
Working together, Kent and Monica can paint the interior of a 2000 square-foot home in 10hours. If Kent paint the house by himself, it will take 2 hours longer than if Monica paints the home by herself. How long will it take each person to paint the house working alone?
Thanks so much!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 79401: I really need help with this word problem. We're on Quadratic Equations so I'm assuming it relates. Here it is:
Sonya drives 160 miles at a certain speed. After stopping at a rest stop, she drives an additional 250 miles at a speed 15 mph slower than before the stop. If she drove 2 hours longer after the stop than before the stop, what was her speed before the stop? We need to round answer to the nearest tenth of a mile-per-hour.
Any help would be greatly appreciated. Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 79484: Problem:
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, -3) and is parallel to the line with equation
y=2/3x+1
Click here to see answer by sprolden(40)

Question 79483: Problem:
Write the equation of the line with the given slope and y-intercept. then graph the line using the slope and y-intercept
Slope: -2; y-intercept: (0, 4)
You must show a graph to earn credit for this question.

Click here to see answer by sprolden(40)

Question 79480: Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4).
Click here to see answer by sprolden(40)

Question 79508: Problem:
Write the equation of the line with the given slope and y-intercept. The graph the line using the slope and y-intercept.
Slope: 5; y-intercept: (0, -2)
You must show a graph to earn credit for this question

Click here to see answer by checkley75(3666)

Question 79512: Problem:
In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Hint: This is just like other linear equations. Pretend that C is y.
y = mx + b

Click here to see answer by stanbon(75887)

Question 79511: Problem:
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation

Click here to see answer by stanbon(75887)

Question 79510: Problem:
Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Hint: Draw a picture of the mountain. Include Tom's starting point and Tom's ending point.
Hint: You can't compare miles and feet. You can compare miles and miles, or feet and feet.
Hint: Should your slope be positive or negative?

Click here to see answer by stanbon(75887)

Question 79509: Problem:
Write the equation of the line with the given slope and y-intercept. The graph the line using the slope and y-intercept.
Slope:-3/4 ; y-intercept: (0, 8)
You must show a graph to earn credit for this question.

Click here to see answer by stanbon(75887)

Question 79514: Problem:
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation
2x-3y=6

Click here to see answer by stanbon(75887)

Question 79588: The highest dive in Olmpic Games is from a 10-meter platform. The height in meters of a diver t seconds after leaving the platform can be estimated by the equation h=10-4.9t^2
a. make a table of the relationship between time and height.
How do I find time?
Click here to see answer by stanbon(75887)

Question 79629: how do you sketch a graph of (i) f(x)= 2\x
(ii) g(x) = x
(iii) h(x) = 2x\2
Click here to see answer by Edwin McCravy(20054)

Question 79679: The square of a number decreased by 2 is equal to the negative of the number. Find the number.
Click here to see answer by ankor@dixie-net.com(22740)

Question 79684: How do you do the following?
x2-7x+10=0
x2+5x+6=0
x2-3x-4+0
y2+2y-8=0
Click here to see answer by checkley75(3666)

Question 79812: Write the equation of the line passing through (0, 9) and (1, 9).
Your equation should be in the form y = mx + b

Click here to see answer by rapaljer(4671)

Question 79807: Write the equation of the line that passes through point (0, �9) with a slope of -6/7 .
Your equation should be in the form y = mx + b

Click here to see answer by rapaljer(4671)

Question 79820: A line passing through (4, 16) and (5, y) is parallel to a line with slope
�10. What is the value of y?
Click here to see answer by tutor_paul(519)

Question 79826: cn someone please help me find the x intercept?
y=x^2+x-6
Click here to see answer by doctor_who(15)

Question 79830: I am not sure what category this problem should be under, please help!
Hazel has a screen door whose height is 4 feet more than its width. She wishes to stabilize the door by attaching a steel cable diagonally. If the cable measures √194/2 ft, what are the dimensions of the door?
Click here to see answer by bucky(2189)

Question 79889: Can you please help Factor the Following Quadratic 2a^2-32

THANKS
Click here to see answer by checkley75(3666)

Question 79888: 4m^4-p^2 please help me Factor that Quadratic problem
Click here to see answer by checkley75(3666)

Question 79809: A line passing through (4, 16) and (5, y) is parallel to a line with slope
-10. What is the value of y?
Answer: The value of y is (6)
Click here to see answer by checkley75(3666)

Question 79916: Find the slope and the y-intercept.
y = 7x

Click here to see answer by markburke(3)

Question 79940: An airplane covered 20 miles of its route while decreasing its altitude by 47,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]
Hint: Should the slope be positive or negative?
Answer: The slope of the airplane's descent is ______________

Click here to see answer by vertciel(183)

Question 79946: 1. If y = a(x - 3)^2 + c and y = (2x - 3)(2x + b) represent the same quadratic function, find a, b, and c. (There are two possibles methods: i) expand both or ii) use the symmetry of the roots around the vertex.)
- I expanded both equations but I could not simplify the terms.
----
Hello there,
Thank you in advance for your help. For the following problem, I was able to solve it using method 2, but I do not know how to solve it using method 1.
Best,
James
Click here to see answer by Earlsdon(6294)

Question 79942: Find the slope of any line parallel to the line through points (11, 7) and (8, 6).
Click here to see answer by vertciel(183)

Question 79923: identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry).
y=x^2-5x+3
Click here to see answer by vertciel(183)

Question 80009: Can you please help me write a quadratic function with this set of data?
(0,254)(4,234)(8,235)(12,239)(16,255)
Thank you
Click here to see answer by Edwin McCravy(20054)

Question 80039: Hi I hope you can help:
Solve 5x(squared)-3x+2=0 by using quadratic formula.
Click here to see answer by sofiyacherni(99)

Question 80039: Hi I hope you can help:
Solve 5x(squared)-3x+2=0 by using quadratic formula.
Click here to see answer by checkley75(3666)

Question 80023: I need help writing a quadratic function using 3 out of these 5 points on a parabola. Can you help me please? (0,254)(4,234)(8,235)(12,239)(16,255)
Thank You
Click here to see answer by stanbon(75887)

Question 79933: i need to Graph using the intercept method: 2x � 5y = 10. please show me how to graph this!
Click here to see answer by checkley75(3666)

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