Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 246206: a quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)=mx-5. What value(s) of the slope owuld make it a tangeant to the prabola

The answer to the problem is m=-2, and m=10
Click here to see answer by josmiceli(9649)

Question 246231: This question has proven very tricky, any help would be greatly appreciated. I can solve for x and y on the main problem, but cannot figure this one out. Help please!
Let f(x) = x2 - 8x + 16. Find x so that f(x) = 22
Click here to see answer by dabanfield(803)

Question 246225: sketch the graph of f(x)=(x-3)^2-1 identifying the vertex, axis of symmetry and all intercepts. Must find at least 5 points.
i have gotten this far i think, not even 50% sure
x f(x)=(x-3)^2-1
-2 =(-2-3)^2-1=(-5)^2-1=24 (-2,24)
-1 =(-1-3)^2-1=(-4)^2-1=15 (-1,15)
0 =(0-3)^2-1=(-3)^2-1=8 (0,8)
1 =(1-3)^2-1=(-2)^2-1=3 (1,3)
2 =(2-3)^2-1=(-1)^2-1=0 (2,0)
am i correct in the points?
Click here to see answer by scott8148(6628)

Question 246232: HOw do you solve (y-4)^2=18
Click here to see answer by edjones(7569)

Question 246216: did not know which one this would fall under:
a) solve by using a sign chart: x^2-x-12>0
b) x-3/x+4< or =0
Click here to see answer by edjones(7569)

Question 246147: Solve.
x^2+sqrt22x=0
Click here to see answer by jsmallt9(3296)

Question 246280: what is the standard form of
x-36=x^2-11x
Click here to see answer by richwmiller(9135)

Question 246315: y=ax^2+bx+c
what is a,b and c? and what are their functions?
Click here to see answer by Theo(3458)

Question 246233: How do you solve t^1/2+3t^1/4+2=0
Click here to see answer by richwmiller(9135)

Question 246539: . Complete the square. Then write the trinomial square in factored form.
x2 +2/3 x
Click here to see answer by richwmiller(9135)

Question 246533: If the sides of a square are lengthened by 8cm, the area becomes 196cm^2. Find the length of a side of the original square.
Click here to see answer by richwmiller(9135)

Question 246310: A train normally travels 60 miles at a certain speed. One day, due to bad weather, the train's speed is reduced by 10 mph so that the journey takes 3 hours longer. Find the normal speed.
Click here to see answer by ankor@dixie-net.com(15624)

Question 246599: a student opens a mathematics book to two facing pages. the product of the page numbers is 272. find the page numbers.
Click here to see answer by edjones(7569)

Question 246667: Please help me solve this equation:
The area in square feet for a rectangular deck is given by A = x2 + 6x +8

a) What would be the area if x was 6?

b) Remembering that Area = Length * Width, factor the above equation. If the width of
the deck is x + 2, what is the length?

Click here to see answer by rapaljer(4667)

Question 246669: Need help in solving this:
The area in square feet for a rectangular deck is given by A = x^2 + 6x +8

a) What would be the area if x was 6?

b) Remembering that Area = Length * Width, factor the above equation. If the width of
the deck is x + 2, what is the length?

Click here to see answer by rapaljer(4667)

Question 246674: I need to solve this quadratic inequality and write the solution set in interval notation. Problem is as follows: x(x-6)(x+2)>0 .... My teacher is also asking me to find the vertex, axis and symetry. WHAT????
Click here to see answer by jsmallt9(3296)

Question 246668: The distance from the earth to the sun is 93 million miles..
a ) express this distance in scientific notation
b) since 1 mile = 5280 feet , express the distance above in feet , in scientific notation

Click here to see answer by checkley77(12569)

Question 246648: Let f(x) = x2 - 20x + 100. Find x so that f(x) = 64
I am completely lost. This is what I did so far. But I know i am wrong.
a=1 b=-20 x=100
x= {-20 +/- sq rt (400-400)}/2
x= {-20 +/- sq rt 0}/2
x= 10
Click here to see answer by checkley77(12569)

Question 246726: How do solve xsquare+6x+5=45
Click here to see answer by richwmiller(9135)

Question 246783: Write a equation whos graph has a vertex of (-3,-2) and passes through the point (1,-10) Answer in vertex form
Click here to see answer by jsmallt9(3296)

Question 245706: f(x)=-x^2+8x-8... find the y cordinate
Click here to see answer by Alan3354(30959)

Question 246826: What are the solutions for the equation (5x-2)^2=10
Click here to see answer by richwmiller(9135)

Question 246843: a car is traveling on a road perpendicular to a railroad track. when the car is 30 meters from the crossing, new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Click here to see answer by richwmiller(9135)

Question 246868: 41 + 7t= -22

Click here to see answer by richwmiller(9135)

Question 246863: (z-4) (z+3)
Click here to see answer by checkley77(12569)

Question 246912: Bobby Treatman's Paint Store sells a special shade of pink paint (Bobby's Blush) which is made from red paint and white paint. The amount of red paint needed is three times the amount of white paint. How much of each kind of paint is needed to make 388 gallons of Bobby's Blush? (Let x represent the number of gallons of red paint and y represent the number of gallons of white paint.)
Click here to see answer by solver91311(16868)

Question 246910: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
t2 + 4t + 4 = 0
Click here to see answer by richwmiller(9135)

Question 246960: I cannot find my error.
I am supposed to use the quadratic formula to solve:
x^2+4x=5
This is what i got:
x=-4+-radical4^2-4*1*5/2*1
-4+-radical 16-20/2
-4+-radical -4/2
-4+-2i/2
-2+-i
Hope that makes sense. I am frustrated with this problem
Click here to see answer by solver91311(16868)

Question 246978: y=3x^2-8x+4
Click here to see answer by justinz(4)

Question 246978: y=3x^2-8x+4
Click here to see answer by checkley77(12569)

Question 246777: 5
DIVIDED BY
3
Click here to see answer by Jeff Gordon(65)

Question 247028: x^2+8x=9 is there any way to make this understandable. I am really confused on how to solve these problems!!!
Click here to see answer by Alan3354(30959)

Question 247077: solve using the quadratic formula.
Click here to see answer by solver91311(16868)

Question 247141: 1.Let f(x) = (x - 8)2. Find x so that f(x) = 100
2.Write a quadratic equation having the given numbers as solutions.
3, -8

Click here to see answer by stanbon(57219)

Question 247359: Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex. f(x)=-2x^2
Click here to see answer by checkley77(12569)

Question 247384: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.
x^2 - 8x + 16 = 0
Click here to see answer by checkley77(12569)

Question 247382: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.
x^2 - 5x - 6 = 0
Click here to see answer by dabanfield(803)

Question 247378: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
x^2 + 7x - 60 = 0
Click here to see answer by oberobic(2304)

Question 247383: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.
3x^2 + x + 6 = 0
Click here to see answer by checkley77(12569)

Question 247404: solving quadratic eaquations by factoring
n-4=n^2-6
Click here to see answer by checkley77(12569)

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14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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