Quadratic Definition and 965 Threads

This is about flash scripting, actually. There's that thing called quadratic bezier spline, p_0(1-t)^2+2p_1 t(1-t)+p_2 t^2, right, and flash plugin has that "curveTo" command that apparently uses above expression for x(t) and y(t) to draw a curve between two points on screen. So, I was...

Homework Statement A projectile is launched upward. Its height above the ground after t seconds is -16t^2 + 320t. After how many seconds in the air will it return to the ground? Solve algebraically. Homework Equations ax^2+bx+c=0 ? -b (+/-) (Square root of b^2 -4ac)/2a ? The...

Quadratic Question... I have no problem solving this problem. My question is about the wording. Homework Statement Find two consecutive integers whose product equals 30. Homework Equations unnecessary The Attempt at a Solution x(x+1)=30-->x^2 +x-30=0---->(x+6)(x-5)=o--->...

How does the second term in a quadratic, bx, affect the graph?

Homework Statement A physics student with too much free time drops a watermelon from the roof of a building height H. He hears the sound of the watermelon going "splat" after a time interval of Delta T. You may ignore air resistance. How high is the building? The speed of sound is Vs...

a) (i) (x-14)(2x-7) (ii) x = 14 or x = 3.5 b) i) \frac{7}{n+7} ii) Take n to be 8 \frac{7}{8+7} \frac{7}{15} that DOESN'T round down to \frac{2}{5} Is that all correct so far? If so I will post the next (really hard) question)... Thanks

Homework Statement Solve for all real x: (x^2-6x+9)^(x^2-4)=1 Homework Equations The Attempt at a Solution I raised both sides by 1/x^2-4, so got x^2-6x+9=1, solved it to get x=2,4. It's a question from a college enterance exam sample paper, so I wondered if it could be that...

Quadratic in standard form help...please Homework Statement Write the quadratic function f(x) = x^2 + 3x + 2 in standard form. Homework Equations Standard form equation : f(x) = a(x-h)^2 + kThe Attempt at a Solution Ok, I think I got this one but am wanting to be sure. I set it up : (x^2...

Homework Statement Find a quadratic function f(x), that satisfies the given conditions: f(1) = 2, f(-1) = 4, f(3) = 8. Thanks Homework Equations f(x) = k(x-s)(x-t) The Attempt at a Solution I tried entering the points as the the x and f(x) while estimating as what the...

The height h of the ball is given be h = 1.2 + 20t -5t^2, where t is in seconds. If the ball is caught at the same height at which it was hit, how long is it in the air? How do I figure out the time? quadratic function? -b/2a?

A family of quadratic functions passes through the points (3,0). Find the family of quadratic functions err i have no idea hwo to do it except substituting those values in ... 0=9a+3b+c what does it meant the family of quadratic functions?

<b>I need a brain refresher</b> to see if i have everything straight in quintic and quadratic expressions. The n's in an expression represents how many turns a line would have The amount of (x+1)^2 means a quadratic curve The if the n is odd there are no complex roots Now here is the...

Homework Statement Need to solve 2x² + 5x + 3 = 0 Homework Equations at² + bt + c = 0 so a = 2, b = 5, c = 3 The Attempt at a Solution a x c = 6 a + c = 5 so ned to find somthing that times to make 6 and add to make 5. That is 2, 3 2x² + 2x + 3x + 3 2x (x + 1) + 3(x...

1. A quadratic fraction is of the form f(x)= 2x^2+bx+5 Find the values for b where the graph of f(x): 1.just touches the x-axis 2. has two x-intercepts 3.does not cut or touch the x-axis I've tried using the quadratic formula but i have no idea how to do it when there are two unknowns...

I have been given a root of 4, a y-intercept of 12 and a known point of (2,8). I have then been asked to write the equation in the form of y=a(x^2)+bx+c I am assuming the relevant equations are: y=a(x-"alpha")(x-"beta") Ok, so I know that c=12, but I can't see how I draw the a and b part...

All, I am not sure how to handle this situation with complex numbers. Can you help? Q = A^2 + ABi Where Q is a complex number. Can we not solve for A if we know Q and Bi using a quadratic equation? 0 = A^2 + ABi + -Q Let... Q = 455 Bi = -22 And in this case I do know...

Homework Statement I have the following question to answer: Show that (X^2/h^2)*((1/2*y1) - y2 + (1/2*y3)) + (X/h)*((-1/2 y1)+(1/2 y3))+y2 (sorry about the format) is equal to (taylor expansion): y = y2+(x(dy/dx)¦0 + (x^2/2*((d^2)y)/(dx^2))¦0 Homework Equations also given in...

Hey everyone, We've been covering tangents and derivatives etc in class recently but there is a question on the assignment that we've been given that i don't know how to do. The question is: "A quadratic equation can be fitted to any three points on a cartesian plane. The model for such...

Can you please help me with this quadratic word problem? An airplane flies 520 km against the win and 680 kim with the wind in a total time of 4hr. The speed of the airplane in still air is 300kim/hr. What is the speed of the wind? Any suggestion is greatly appreciated!

Velocity using quadratic formula- NEED HELP PLEASE! Here is the problem: An osprey is flying over a reservoir with a trout in her talons. Her speed is 4.21 mph and the reservoir is 12.76 feet below. She is flying at an angle of 15.32 degrees below the horizontal- A- Calculate the...

The question is: Show that if p == 1 mod 4, then (a/p) = (-a/p). (Note that == means congruent). I know that if X^2==a mod p (p is a prime) is solvable then a is a quadratic residue of p. For an example, I let p = 5 since 5==1 mod 4. Then, I let X = 2 and 4 just to check the equation...

I might not be the brightest bob in the bunch but I am having trouble with a simple quadratic equation. k^2 + (k + 4)^2 = 346 According to my manual expands to: k^2 + k^2 + 8k + 16 = 346 Everything is going fine until I see the 8k. Where did the 8k come from? Or is my...

I am stuck on this problem. I can reach the correct answer with the quadratic formula, but not with the method suggested (completing the square). Thanks in advance. The problem is: 2x^2+8x+1=0 This is what I tried: 2x^2+8x=-1 2(x^2+4x)=-1 2(x^2+4x+4)=-1+8 2(x+2)^2=7...

i think I am pretty much 'in the know' about this one. it's an equation about a football player kicking a football.. h = -4.9t^2 + 10t + 3 h = height (in meters) t = time (in seconds) so the vertex is 9.25m height at 1.25 seconds? (i figured this on my graphing calculator). and the...

1) "find the vertex algebraically" y= -x^2 - 3 y = (x - 3)(x+1)?? (the -x is throwing me off) 2) a movie theatre sells tickets for $8.5 each. they are considering raising the prices but know that for every 50 cents the price is raised, 20 fewer people go to the movies. R = -40c^2 + 84c...

I have a huge headache and I can't understand why this works... I am reviewing the quadratic formula so that I can solve trig questions, but I am stuck on this one part... The point is to factor x^2+2x-1 I ( and the textbook ) use the quadratic formula to get the roots of it and come up...

This question has been killing me for days, : Give a family of quadratic functions of the form y=ax^2+bx+c, that passes through the following points: (1,1) and (2,0) I see how we can find the family, but how do we find the specific functions that pass through both those points? I tried making...

I am in AP Calculus but I think I just understood what a quadratic graph is and I wanted to make sure w/ you guys that I came up w/ the right explanation. I believe a quadratic is a semicircle(only y=x^2, others are semi elipse). The only diff. is that it never gets to complete its semicircle...

Now I am trying to graph this thing. Lets say I have x^2+x+10=0 So yah... I plot them for -10<x<10 and get the y values... What I would like to know is how do I change the scale as to get zoom in and zoom out effect?

the book asks to fnd the four roots of z to the fourth power + 4 = 0 and then use to demonstrate that z to the fourth power + 4 can be factored into two quadratics with real coefficinets. I am clueless on where to start. Please help.

hey can som1 please help, i know how to find the quadratic approximation for a given function but i don't know how the quadratic approximation determines a local max/min :confused: This is with regard to multivariable functions. thanks

Today, I tried to translate the very basic "solve quadratic equations" program I made a while back in Python to C++. [SIZE="1"] #Solving quadratic equations import math print print "Please enter information in accordance with ax^2 + bx + c = 0" a =...

I'm having trouble just figuring out how to set these problems up. Here is one of them. A jogger and a walker both cover a distance of 5 miles. The runner is traveling 1.5 times faster than the walker and finishes in 25 minutes less time. How fast is each going? I know it probably...

Hey guys, I've tried to do this quadratic question using the formula but can't seem to get it and don't know if its right or not. x= -b+-√b^2 – 4ac / 2a a= 37.5 b= L c= L^2 Need to find X the sub X into find L in metres. Thanks in Advance

How do you solve quadratic equations which have atleast one positive root?? The question was this: Find the value of 'm' for which the roots are such that at least one is positive. x2 -(m-3)x + m = 0 mR. Can someone help me get started? Here is my work: I checked the discriminant. for...

Hello all, I've been having some problems regarding the fall of an object in the vertical direction that has air drag which varies quadratically with speed. The problem is as shown: A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed. Show...

[FONT="Trebuchet MS"]Solve the Inequality: x² - x < 0 Express the solution set as intervals or union of intervals. Use the result √a² = |a| as appropriate. What is the procedure/explanation for the answer to this question? The answer is (0,1). THat is: (0,1) is the solution set...

y^2 = 4(x+4)^3 0<=x<=2 ...y>0 Ok..so do I just simplify it to y=etc... and then find the derivative and solve..I tried this and I get a kinda long derivative..just seems like it should be easier? Thanks

Umm... I guess I don't remember this from algebra, but I have a rather basic question. Let's say you have the expression, f(x) = 4x^2 + 5x + 1 And we want to find the roots. So, \frac{-5 \pm \sqrt{5-4(4)}}{2(4)}= \{ \frac{1}{2},-1 \} Now, if we plug these into f(x) we have...

I said that A\ell=A_{\textrm{new}}\ell\left(1+\frac{x}{100}\right)\implies A_{\textrm{new}}=\frac{A}{1+\frac{x}{100}}. Also, we know that R\propto\frac{\ell}{A}.. Therefore, R_{\textrm{old}}\propto\frac{\ell}{A} R_{\textrm{new}}\propto\frac{\ell\left(1+\frac{x}{100}\right)^{2}}{A}...

I'm learning equilibirum in class, but I am stuck on this question. DOes anyone how how to do this problem? I use the quadratic formula but end end with answers A and B, but the correct answer is A. Can someone show me step by step how to do this problem? thanks 9. At a certain temperature...

Please Help! I designed this "PROGRAM"! TO calculate the real roots of a quadratic equation... but the compiler miracle C kept saying there's something wrong around the "if" word... saying "unrecognised types in comparison" it seem SO FINE to me... what is wrong?!:eek: #include...

If I know 2 points in the +x,+y quadrant, and I want to find the f(x) = a -------- (b*x)^2 curve that passes through both points (a and b are constants). This is probably either really simple or impossible. :rolleyes:

Hey. Today i had a test on quadratics and discriminants. I think i did fairly well, but i am a bit confused about one of the questions i had in it. We were given the following quadratic equation: 12x^2 + 8mx + (4m-3) = 0 What we had to do was prove that for any integer value of m, the...

Hey. I've got a question to solve, and I am a bit confused. Ok. I understand what the question is asking, i just don't know how to do it. I am oretty sure that if \delta < 0, thenthere are no real solutions, but I am not sure about 1 or 2 solutions. I played around with quadratic functions...

I have this problem I've been looking at for about 6 hours. It requires me to find all primes p such that 3 is a quadratic residue (mod p). All I could come up with is that every prime p ending in a 1 makes 3 a QR mod p. But this came after using excel and computing all primes. Surely there...

I'm supposed to use this equation: y = x^2-8x+7 To solve the following questions: 1) What is the value of the discriminant? 2) Find the roots by factoring and solving. 3) Find the roots by using the quadratic equation. Can anyone give me some help? Thanks! :)

A large dealership had been selling new cars at $6000 over the factory price. Sales have been averaging 80 cars per mouth. Because of inflation, the $6000 markup is going to be increased. The marketing manager has determined that, for every $100 increase, there will be one less car sold each...

Ok, I’m having trouble solving this equation: -x^4+200=102x^2 The solutions I got for it are x=10 and x=-10 which both work as solutions but the last one I got, x= the square root of 2, doesn’t work. My textbook offers the only advice for doing this type of...

i keep getting nonzero off diagonal elements when i try to reduce to simple sum of squares, of the equation 2 x_{1}^{2}+2x_{2}^{2}+x_{3}^{2}+2x_{1}x_{3}+2x_{2}x_{3} what i have is \left(\begin{array}{ccc} x_{1} & x_{2} & x_{3} \end{array}\right) \left(\begin{array}{ccc} 2 & 1 & 0 \cr 1 &...