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Question 245946: Quadratic Functions and Equations

The first question I gave it go at.
Solve.
3t^2-2=0
+2+2
3t^2=2
______
3 3

t^2=2/3 or (I don't know how to do the square root sign on here.)
_ ______ _ _ __________
V2/3 or V 2/3

Hope I did it right.

Then the next is also solve.

x^2+7=3x
Now so far all I have done is taken 3x from both sides
which brings us to
x^2-3x+7=0
At this point I am lost. Because normally I would think we would do this but I can't find anything to add up to equal 3
(x )(x )=0

So I am stuck with this problem.

Last problem I am having is one that I got so confused w/ the process that I couldn't even start it. I am just lost.

It states:
For each quadratic function, (a) find the vertex and the axis of symmetry and (b) graph the function.

g(x)=2x^2+5x-1

I know we follow the form of a(x-h)^2+k. But I am so lost at this. I know it is most likely real easy but I am lost.
Click here to see answer by solver91311(24713)

Question 245981: 3b^2-30b=6b-60

Click here to see answer by richwmiller(17219)

Question 245986: Two imaginary solutions, no real solutions

Click here to see answer by checkley77(12844)

Question 245995: -15x^2+2+7x=0
Click here to see answer by checkley77(12844)

Question 246003: Sharing Cost.
The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
Click here to see answer by oberobic(2304)

Question 246022: Find the quadratic equatiopn whose roots are 2 and 3.
Click here to see answer by nerdybill(7384)

Question 246033: solve for x: 12|1-3x|squared -5|1-3x|-28=0, i think i am thinking too much into this but i don't know need some guidance. thanks if you can get back asap that would be great. thank you for all your help.
Click here to see answer by jsmallt9(3758)

Question 246072: x2 + 8x = 3
Click here to see answer by richwmiller(17219)

Question 246091: 8x^2-18xy+9y^2...I have tried to solve this such as 8x^2-18xy+9y^2
x=2 and y=3
8(2)^2-18(2*3)+9(3)^2
From then on, I am lost and I do not even know if
what I had been doing is right.
Click here to see answer by checkley77(12844)

Question 246105: how do i get the two answers for x^2 - 2x-15=0
Click here to see answer by rapaljer(4671)

Question 246113: I am requesting assistance with the following quadratic equation
(x-2)(x^2-8x+7)
thank you
Click here to see answer by rapaljer(4671)

Question 246113: I am requesting assistance with the following quadratic equation
(x-2)(x^2-8x+7)
thank you
Click here to see answer by marcsam823(57)

Question 246123: Factor the quadratic. 2b(6b+13)=-12
I get 12b^2+26b+12=0 but not sure what to do next. May I please ask for assistance in solving this quadratic equation? Thanks

Click here to see answer by rapaljer(4671)

Question 246149: If a quadratic equation can be solved by factoring, what type of number(s) will generally be solutions?
Click here to see answer by Alan3354(69443)

Question 246150: Solve.
(y+5)(y-1)=27
Click here to see answer by richwmiller(17219)

Question 246150: Solve.
(y+5)(y-1)=27
Click here to see answer by oberobic(2304)

Question 246163: f(x)= 3x+x(x-1) what are the solutions? what are the x-intercepts?
Click here to see answer by checkley77(12844)

Question 246162: width of a triangle is 2ft less than the length, area is 24f^2, L=, w=
Click here to see answer by checkley77(12844)

Question 246086: A rectangular compost container is to be formed in a corner of a fenced yard, with 8 ft of chicken wire completing the other two sides of the rectangle. If the chicken wire is 3 ft high, what dimensions of the base will maximize the volume of the container?
Click here to see answer by oberobic(2304)

Question 246161: f(x)=x^2-7x+9
Click here to see answer by checkley77(12844)

Question 246186: (-2)=x+4
Click here to see answer by oberobic(2304)

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(19441)

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(8007)

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(8007)

Question 246147: Solve.
x^2+sqrt22x=0
Click here to see answer by jsmallt9(3758)

Question 246280: what is the standard form of
x-36=x^2-11x
Click here to see answer by richwmiller(17219)

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(13342)

Question 246233: How do you solve t^1/2+3t^1/4+2=0
Click here to see answer by richwmiller(17219)

Question 246539: . Complete the square. Then write the trinomial square in factored form.
x2 +2/3 x
Click here to see answer by richwmiller(17219)

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(17219)

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(22740)

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(8007)

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(4671)

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(4671)

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(3758)

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(12844)

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(12844)

Question 246726: How do solve xsquare+6x+5=45
Click here to see answer by richwmiller(17219)

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(3758)

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