Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 442619: Hi,
I have an algebra question that states the following: (not sure where to go with this)
If h = -16t^2 + 48t represents the height of a rocket, in feet, t seconds after it was fired, when will the rocket hit the ground?
It does give a hint: "The rocket is on the ground when h = 0"
So it states that the rocket will hit the ground after _______ second(s).

Click here to see answer by mananth(12270)

Question 442632: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
x^2-16x+64=0
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by stanbon(57967)

Question 442643: To apply the quadratic formula to the equation 4x2 - 7x = 0, you have to notice that c = 0. Solve the equation using the quadratic formula. (Enter solutions from smallest to largest.)
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by Alan3354(31518)

Question 442647: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.
y^2-14y
Please show me the steps to get the answer. Thanks
Click here to see answer by stanbon(57967)

Question 442622: 1)Find the equation of the parabloa with points (5,0) and (6,10).
2)Find the equation of the parabola with points (1,5) and (2,10).
*Please explain step by step.
Thank you.
Click here to see answer by swincher4391(726)

Question 442656: Solve the following equation by completing the square. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
x^2-4x=32
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by jorel1380(2518)

Question 442654: Solve the following equation by completing the square. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
x^2+4x=12
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by jorel1380(2518)

Question 442634: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
(x-2)(x+1)=8
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by mananth(12270)

Question 442637: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
2x^2-5x=7
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by mananth(12270)

Question 442641: Solve the equation 7y3 - 14y2 + 6y = 0 by first factoring out the common factor y and then using the quadratic formula. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
y = ?
y = ?
y = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by mananth(12270)

Question 442636: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
(2x-1)(x+2)=9
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by rfer(12730)

Question 442650: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.
y^2-5y
Please show me the steps to get the answer. Thanks
Click here to see answer by swincher4391(726)

Question 442679: The length of one leg of a right triangle is 8 inches. The length of the other leg is 6 inches shorter than the hypotenuse. Find the length of the missing leg and the hypotenuse
Click here to see answer by swincher4391(726)

Question 442583: state the range and domain for the relation y=x^2+2. Is the relation also a fuction?

Click here to see answer by robertb(4012)

Question 442581: Find y so that the line connecting the points (3,y) and (5,-5) has slope 2
Click here to see answer by robertb(4012)

Question 442648: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.
x^2-20x
Please show me the steps to get the answer. Thanks
Click here to see answer by swincher4391(726)

Question 442587: find the x intercept and the y intercept of the line y=2x-5
Click here to see answer by robertb(4012)

Question 442646: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.
x^2+16x
Please show me the steps to get the answer. Thanks
Click here to see answer by richard1234(5390)

Question 442585: Consider the relation{(3,5),(5,5),(8,3),(10,3)}. Find the domain and range of this relation. Is the relation a function?
Click here to see answer by robertb(4012)

Question 442630: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
3^2+8x+5=0
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by mananth(12270)

Question 442644: Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.
x^2+8x
Please show me the steps to get the answer. Thanks

Click here to see answer by Alan3354(31518)

Question 442617: Hello,
I have a problem that states the following that I'm having a hard time getting passed:
"Use the Pythagorean Theorem to find the lengths of the sides of the triangle."
On the picture it shows the point of the triangle pointing to the left. The short base (or possibly the height) on the right shows the numbers (2x-3).
The bottom long base part of the triangle shows (15)
The top slanted side shows (2x)
Then it asks for the lengths of the missing sides are:__________.
Any help on this problem would be greatly appreciated. :)
Click here to see answer by Alan3354(31518)

Question 442867: Use the quadratic formula to solve the equation. The equation has a real solution
1/3x^2-4x+5=0
Click here to see answer by bsitzmann(2)

Question 442559: solving by elimination method. 5x+5y=-11
7x-3y=13

Click here to see answer by ankor@dixie-net.com(15746)

Question 443026: s2-2s=5
Click here to see answer by swincher4391(726)

Question 442639: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
3x^2=-4x+2
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by ankor@dixie-net.com(15746)

Question 443059: How to solve this simultaneous equations
x^= 4 - y
x= y + 2

thank u
AA
Click here to see answer by swincher4391(726)

Question 443082: Please help me solve this
there is a golden arch.The shape of a maximum quadratic graph. X is the width.Y is the height. X is 245m.y is 300m
I need to know 3 appropriate places that i can put the origin of the arch on a quadratic graph. And I have to state with it, the equation in turning point form (vertex form)
thank you.
I put the origins as (0,0), (-245,0) and(245,0 )
Click here to see answer by stanbon(57967)

Question 443087: Can you help me solve this please
There are 3 equations in turning point form.(vertex form)
y=a(x-0)^2+300 The points on the graph are (0,300)(-122.5,0) and (122.5,0)
y=a(x-122.5)^2+300 The points on the graph are (122.5,300)(245,0) and (0,0)
y=a(x+122.5)^2-300 The points on the graph are (-122.5,300) (-245,0) and (0,0)
Can you please show me how to find the "a".
i Know the answer is -0.02 for all of them but i cant figure out how?
Your help is appreciated.
thanks
Click here to see answer by stanbon(57967)

Question 443089: Please tell me how to solve a problem like: 100x-4000/100x=.3 Solve for x. thank you
Click here to see answer by swincher4391(726)

Question 443130: Hey guys,
So I was on your website, practicing solving quadratics by completing the square (as you do) and I ran in to a problem. I had done this:

(where the nines are b/2^2)

What do I do now that there's a negative number on the right side? I can't square root both! HELP!!

Click here to see answer by Gogonati(817)

Question 443133: What is the domain and sketch the graph of the reducible function.
f(x) = (x^2 -25) / (2x -10).

Click here to see answer by Gogonati(817)

Question 443132: Quadratic-relations-and-conic-sections/443131 (2011-05-01 05:06:45): I have been trying to solve the below problem for some time now,
Determine the vertical and horizontal asymptotes of f(x) = (x)/(x+2)
I get a (-2) for my Vertical asymptote; but not sure about my horizontal
I get either (1) or (0).
a graph would be helpful.
0 solutions

Click here to see answer by rwm(914)

Question 443134: Determoine the domain and sketch the graph of the reducible function.
f(x) = (x^2 - 25) / (2x - 10).
f(x) = (x+2) / (x^2-x-6).
when I did, the instructor said i was wrong; see his response:
what did i do wrong
The answer to #22, #26 are not correct as you submitted, since in a reducible function, the domain is determined based on the original function, not the reduced form! Please correct and submit.

Click here to see answer by stanbon(57967)

Question 443135: Please help me with this problem I am having a diffcult time with it, Than you so much.
The population P in 1999 for a state given along with r, its annual percentage rate of continuous growth
P= 21 millions, r= 1.9%
(a) Write the formula f(x) = P e^yx, where r is in the decimal notation, that models the population in millions x years after 1999.
(b) Estimate the population in 2020
F(x) = ?
The population in 2020 will be approximately how many million?
(round to the nearest tenth as needed)
Any help is greatly appreciated!!!
Click here to see answer by ankor@dixie-net.com(15746)

Question 443245: beginning with f(x) = squareroot of x, find the function g(x) that shows f(x)
shifted to the left 2 units, reflected about the x axis, and then shifted up
7 units?
Click here to see answer by swincher4391(726)

Question 443312: What is the quadratic equation?
Click here to see answer by ankor@dixie-net.com(15746)

Question 443383: I need help to see the steps to solving this quadratic equation x^ + 12x – 64 = 0 using the method from India
Click here to see answer by swincher4391(726)

Question 443454: solve -x²+3x=5
how do i solve this??
Click here to see answer by swincher4391(726)

Question 443452: solve x²-6x=3
how do i solve this??
Click here to see answer by swincher4391(726)

Question 443449: solve 3x²+6x+3=0
how do i solve this??
Click here to see answer by swincher4391(726)

Question 443612: IF AN OBJECT IS TOSSED INTO THE AIR THE PATH OF THIS OBJECT IS REPRESENTED BY THE EQUATION at^2+bt+c=h, where h is the height after t seconds, a is the acceleration due to gravity, b is the initial velocity, and c is the initial height.
Click here to see answer by richard1234(5390)

Question 443650: use quadratic formula
4/5y^2+1/5y=18/5
Click here to see answer by mananth(12270)

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