Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 193592: which equation describes a horizontal line that passes through the point(7,1)?
Click here to see answer by stanbon(75887)

Question 193592: which equation describes a horizontal line that passes through the point(7,1)?
Click here to see answer by Alan3354(69443)

Question 193589: which equation represents a line that is paralle to the line represented by the equation y=3/5x+5/3?
Click here to see answer by Alan3354(69443)

Question 193591: on a scatter plot of data,a trend line passes through the points (-6,7) and (-2,10). describe the correlation.
Click here to see answer by stanbon(75887)

Question 193566: I'm stuck on this one:
determine whether the following equation has a real or complex solution
√2x^2 -4x-7√2=0
Click here to see answer by orca(409)

Question 193711: Given the graph of y = ax^2 + bx + c Use the graph to determine the sign of the discriminant D, and the corresponding quadratic equation and its solutions.
Thank You
Click here to see answer by J2R2R(94)

Question 193709: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions? Thank You
Click here to see answer by RAY100(1637)

Question 193729: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
Integers
Rational numbers
Irrational numbers

Click here to see answer by user_dude2008(1862)

Question 193731: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions
Click here to see answer by user_dude2008(1862)

Question 193753: What do you suppose is the reason the solution is complex when the discriminant is negative?

Click here to see answer by stanbon(75887)

Question 193770: whats the answer to -2x(squared)+ 0.7=-0.3
Click here to see answer by checkley77(12844)

Question 193770: whats the answer to -2x(squared)+ 0.7=-0.3
Click here to see answer by Mathtut(3670)

Question 193769: 4x^2 -36 y^2 factor completely
Click here to see answer by Mathtut(3670)

Question 193771: x^2-3wx +2xy-6wy factor completely
Click here to see answer by Mathtut(3670)

Question 193768: x^2 - 5x-14 Factor completely
Click here to see answer by Mathtut(3670)

Question 193766: 12x^2 - 10x -8 Factor completely
Click here to see answer by Mathtut(3670)

Question 193802: Use the discriminant to find how many places the quadratic function crosses the x-axis.
4x^2 + 8x = 0
Click here to see answer by solver91311(24713)

Question 193810: Use the vertex form of the quadratic equation to find the vertex.
y = (x-2)^2 + 4
Click here to see answer by stanbon(75887)

Question 193790: a retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profitt of $22. If the price for the n mugs is $48, how can we express the cost per mug? Now have to write in standard form of a quadratic equation
Click here to see answer by solver91311(24713)

Question 193812: Use the discriminant to find how many places the quadratic function crosses the x-axis.
y = 9x2 - 24x + 16
Click here to see answer by Alan3354(69443)

Question 193762: Can you please help me with this problem.
2(a+7)^2=34
/2 /2
(a+7)^2=17
I don't know what to do after that.
I would really appreciate it if you helped.
Click here to see answer by solver91311(24713)

Question 193830: Find the height, of a ball, above ground using the following information.
wait 2 seconds, initial velocity is 55 ft/sec, initial height above ground
is 2 ft
Question 1 answers
40 ft
42 ft
46 ft
48 ft
Click here to see answer by solver91311(24713)

Question 193832: Find the height, of a ball, above ground using the following information.

wait 3 seconds, velocity is 45 ft/sec, initial height above ground is 10 ft
1 ft
3 ft
13 ft
4 ft
Click here to see answer by solver91311(24713)

Question 193861: I am not sure how to set this problem up. Can you help?
You travel 5 miles in a boat. because of a 4 mph current it took you 20 minutes longer to go then return. How fast will you go without current?
Is the problems set up like-
10x+100=x^2+20x
Click here to see answer by josmiceli(19441)

Question 194011: (sqrt 5- sqrt7)^2

answer:12-2 sqrt 35 need a full break down on why the answer is 12-2 sqrt35
Click here to see answer by solver91311(24713)

Question 194070: Miranda throws a set of keys to her brother who is standing on a third-story balcony with his hands 38 feet above the ground. If Miranda throws the key with an initial velocity of 40 feet per second, the equation h = -16t+40t+5 gives the heigh h of the keys after t seconds.
1. How long does it take the keys to reach their highest point?
2. How high do the keys reach?
3. Will her brother be able to catch the keys? Explain.
Click here to see answer by stanbon(75887)

Question 194098: x2=10x-6

Click here to see answer by vleith(2983)

Question 194097: a retailer spent $48.00 to purchase a number of special mugs. 2 broken in store, but by selling each of remaining mugs for $3.00 above original cost per mug, made $22.00 profit.
a. if the price for n mugs is $48, how can i express the cost per mug?
b. using answer in step a, how do i express selling price per mug?
c. since two broken how do i express # of mugs available for sale?
d. using b and c construct expression for amount of 4 made on sale of remaining
e. how do i express relationship between money made, the cost and the profit
what i come up so far.......still confused as exactly how to express each listed above...thanks
Let n = the number of mugs purchased by the retailer
Let n-2 = the number of mugs available for sale (the retailer broke two)
Let (48/n) - the cost of each mug purchased by the retailer ($48 spent divided by the number of mugs)
If she sold each mug for a 3 profit
(3+(48/n)) is the sale price of each mug
(n-2)(3+(48/n)) = the total sales (the number of mugs sold*the price)
the total sales = cost + $22 profit
(n-2)(3+(48/n))=48+$22

If (n-2)(48/n+3) - 48 = 22 then expanding brackets:-
48 - 96/n + 3n - 6 - 48 = 22 and rearranging
3n - 96/n - 28 = 0 and multiplying through by n gives
3n^2 - 28n - 96 = 0 which is the standard form of a Q.E.
Factorising to (3n + 8)(n - 12) = 0 therefore:-
n = - 8/3 or 12

Click here to see answer by stanbon(75887)

Question 194140: x^2-8x+16=0.
Determine the type (real or complex) and number of the solutions of each of the following equations. Justify your answer.
Thank You
Click here to see answer by josmiceli(19441)

Question 194142: Determine the type (real or complex) and number of the solutions of each of the following equations. Justify your answer.
square root 2x^2-4x-7 square root 2=0
not sure how to make the square root symbol. Thank you
Click here to see answer by jim_thompson5910(35256)

Question 194150: Please help me solve this equation:
I tried working it out several times but was unable to understand why the end result was instead of . What happened to the '2', and why and how am I supposed to get rid of it?
Thank you so much for your help!
Click here to see answer by RAY100(1637)

Question 194158: Gwen travelled by boat 5 miles upstream to fish in her favorite spot. Because of the 4 mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(22740)

Question 194297: Factoring to solve quadratic equations:
-8n(10n - 7 ) =0
Solve the equation using the zero- product property?
Click here to see answer by edjones(8007)

Question 194267: How do I solve this using the quadratic formula?
x=-4x^2-4
Click here to see answer by checkley77(12844)

Question 194266: How do I solve this equation using the quadratic formula?
3x^2-6x=1
Click here to see answer by checkley77(12844)

Question 194368: Factoring for quadratic equations. 6x^ + 3x - 18=0

Click here to see answer by orca(409)

Question 194432: How do you write the standard form of the parabola given directrix (x=3) and vertex (0,0)?
Click here to see answer by Mathtut(3670)

Question 194461: the function h=-5t2+20t+1 models the height, h meters, of a baseball as a function of the time, t seconds, since it was hit. The ball hit the ground before the fielder could catch it. Use the quadratic formula to solve the following problems.
a) How long was the baseball in the air, to the nearest tenth of a second?
b) For how many seconds was the height of the ball at least 16 m?
Click here to see answer by nerdybill(7384)

Question 194480: find the solution for
(x-3)2 =17
Click here to see answer by jim_thompson5910(35256)

Question 194491: x squared - 10x + 9 = 0
I subtracted 9 on both sides.
x squared - 10x = -9
and I'm lost from here. Can someone please help me?
Click here to see answer by jim_thompson5910(35256)

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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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