Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

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Question 229242: Hello. I'm working on a question in Algebra 2 in quadratics. It says:
A store charges $2 for a one-day rental of a video cassette. On the average, 200 cassettes are rented from the store each day. If a survey indicates that the store's rentals will decrease by and average of 5 per day for each 10-cent increase in rental charge, what should the store charge to maximize its income?
I figured out that charging $2 and $4 was the same profit ($400 a day), so that means the answer is $3, but I need to show my work in a h(t)=-.5gt+vt+h, where V and H are sub 0. How does this problem fit into that formula?

Click here to see answer by ankor@dixie-net.com(6693) About Me 
Question 229242: Hello. I'm working on a question in Algebra 2 in quadratics. It says:
A store charges $2 for a one-day rental of a video cassette. On the average, 200 cassettes are rented from the store each day. If a survey indicates that the store's rentals will decrease by and average of 5 per day for each 10-cent increase in rental charge, what should the store charge to maximize its income?
I figured out that charging $2 and $4 was the same profit ($400 a day), so that means the answer is $3, but I need to show my work in a h(t)=-.5gt+vt+h, where V and H are sub 0. How does this problem fit into that formula?

Click here to see answer by cornball3440(10) About Me 

Question 229396: i am trying to find the y coordinate of the vertex. the x is -2 and when i plug it in to the equation i get
3(-2)^2+12(-2)+8 =-28, but the answer is supposed to be -4 can someone tell me what i am doing wrong?

Click here to see answer by rfer(2688) About Me 

Question 229725: Find the x and y intercepts of a circle with a radius of 3.46 and (-4,5)
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Question 230599: y = √x, [16, 25] Calc I its asking to find c usting MVT
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Question 231269: Solve -3(x+2)^2=-18
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Question 231995: Find the x-intercepts of the parabola with vertex (6,-5) and y-intercept (o,175). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.
Click here to see answer by josmiceli(3012) About Me 

Question 232715: can you please help be with these problems.find the (x,y)value of the vertex of the parabola, y=x^2-16
find the (x,y0value of the vertex of the parabola, y=x^2+6x+5







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Question 232747: How do you solve: 5y^2+2y+4x-13x^2=81

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Question 233299: The vertex of this parabola is at (4, -3) what the equation

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Question 233394: sketch the portion of graph in the first quadrant and use symmetry to complete the rest of the graph


4x^2+16y^2=16

Click here to see answer by Edwin McCravy(2922) About Me 

Question 233345: Hello. I am having a question in the CPM Algebra 2 book on pg.179. My chapter, that I am on, is about parabola equations. You can find the problem and any diagrams on hotmath.com. The question is this...
4-47
"A jackrabbit is jumping over a three-foot-high fence. To clear the fence, the rabbit must start its jump at a point four feet from the fence and will end four feet from the fence"
When drawing this graph and making an equation, I am unsure where to go about this problem, to write this equation. Please help. Much appreciated:)

Click here to see answer by Theo(675) About Me 

Question 235866: Hello,
I am struggling on ellipses and hyperbolas. I need some help on differentiating the two. How can you tell which is which?

Click here to see answer by Alan3354(6092) About Me 

Question 235864: x^2-4x-21=0
we must find Δ in oder to know in which conditions this equation must be solved.
Δ=((-b)^2-4*a*c)
(*)if Δ>0 this equation has 2 solutions x=(-bą√Δ)/2a.
(**)if Δ=0 this equation has only one solution x=-b/2a.
(***)if Δ<0 this equation must be solved by a transformation of Δ to a complex number.
if we apply Δ's formula:
Δ=(-(-4))^2-4*(-21)=100 then Δ>0 so we must refered to condition(*)in oder to solve this equation.
√Δ=10
this equation has 2 results x1,x2.
x1=(-(-4)-10)/2; x2=(-(-4)+10)/2
x1=-3;x2=7

S={-3;7}

Click here to see answer by checkley77(7072) About Me 
Question 235864: x^2-4x-21=0
we must find Δ in oder to know in which conditions this equation must be solved.
Δ=((-b)^2-4*a*c)
(*)if Δ>0 this equation has 2 solutions x=(-bą√Δ)/2a.
(**)if Δ=0 this equation has only one solution x=-b/2a.
(***)if Δ<0 this equation must be solved by a transformation of Δ to a complex number.
if we apply Δ's formula:
Δ=(-(-4))^2-4*(-21)=100 then Δ>0 so we must refered to condition(*)in oder to solve this equation.
√Δ=10
this equation has 2 results x1,x2.
x1=(-(-4)-10)/2; x2=(-(-4)+10)/2
x1=-3;x2=7

S={-3;7}

Click here to see answer by cheikoda(2) About Me 

Question 236835: how to find the equation of the circle having AB as diameter where A is the point (1,8) and b is the point (3,14)
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Question 237370: write an equation in standard form of the parabola that has the same shape as the graph of , but which has a maximum of at .
Click here to see answer by Edwin McCravy(2922) About Me 

Question 237434: How di identify if 9xsquared+16ysquared=144?
Click here to see answer by College Student(211) About Me 

Question 237858: Okay, so what is a eauation for a line of symmetry for (x-2)(x-2)
also what are you equations for parabolas, with (2,0) as a vertex.
anyways i dont want you tto tell me the anwer i wannt to know how to answer, so it will help me
thanks :D

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Question 237815: I am given the length, and height of a parabola which is positioned like a bridge, therefore the parabola's opening is downwards. The Length of the base of the parabola is 5meters, the height is 4meters. I need to find the maximum height of a rectangle to fit into the parabola(bridge). The rectangle cannot be the height of the parabola, and the edges cannot go past the parabola. The Width of the rectangle is 2meters. What is the maximum height of the rectangle so that it would fit through the parabola, without getting stuck? How would you write the equation of the parabola? Would it be y= -a(x-4)^2+0 ?? Is the vertex (0,4) ?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 237942: Please help me solve this problem, i have to graph it.
25x^2+4y^2=100

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Question 238027: How to get the quadratic Intercept form converted to the quadratic vertex form in the equation y=4(x+1)(x-6)
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Question 238232: x^2+4x-4y+16=0
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Question 238389: can you tell me how to convert a parabola into an equation... x intercepts are (3,0) and (13,0) how do i find the vertex if thats all the info i have...
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Question 238483: What is the domain and range to this function: 16y^2/9 + 4x^2/25 = 1
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Question 239020: Find the center and the radius of the circle x+1 squared + y+4 squared =81.
Click here to see answer by Theo(675) About Me 

Question 239117: A volleyball is hit upward by a player in a game. The height (h) (in feet) of the volleyball after (t) seconds is given by the functin h=-16+30t+6.
What is the maximum height on the volleyball?

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Question 239121: What is the greatest zero of the function
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Question 239174: what is the real part of the standard form of the expression (5+i)(10-i)
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Question 239273: y^2-8y-8x-8=0 Find the equation of the axis. find the coordinates of the vertex. find the coordinates of the focus. find the equation of the directrix
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Question 239721: Identify the coordinates of the vertex, and focus, the equations of the axis of symmetry and directirix, and the directions of opening of the parabola with the given equation. Then find the length of the latus rectum and graph the parabola.
-2(y-4)=(x-1)^2
I'm confused on each part, in general. Can you help me on each step?

Click here to see answer by stanbon(26291) About Me 

Question 240467: I'm in dire need of help on my Honors pre-calculus assignment.
I'm given the foci (3,+-2) and the x intercepts of -1 and 7 .
How do I find the equation of the conic (parabola, hyperbola, or ellipse) described?

Click here to see answer by scott8148(3382) About Me 

Question 241169: How do I put x^2-6x-y+11=0 in standard form for a parabola? Please help!
Click here to see answer by solver91311(5072) About Me 

Question 241372: 9x^2-16y^2+36x+64y=172

What type of conic?
Standard Form?

Click here to see answer by stanbon(26291) About Me 

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