Please please someone help!! :( A rock is launched from a cannon. It's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After one second, the rock is 129 feet in the air; after 2 seconds, it is 236 feet in the air. Find the height, in feet, of the rock after 5 seconds in the air.
Do you know the formulas
No I don't
Ok
I have a similar problem to this so we can just change the numbers
Okay
A rock is launched from a cannon its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the rock is 186 feet in the air; after 2 seconds, it is 344 in the air. Find the height, in feet,of the rock after 8 seconds in the air.; : Using the form: ax^2 + bx + c = y y = h(x), c = 0 : x=1; y=186 a(1^2) + 1b = 186 a + b = 186 : x=2; y=344 a(2^2) + 2b = 344 4a + 2b = 344 : Multiply the 1st equation by 2, subtract from the 2nd equation 4a + 2b = 344 2a + 2b = 372 --------------Subtraction eliminates b, find a 2a = -28 a = -14 : Find b using: a + b = 186 -14 + b = 186 b = 186 + 14 b = 200 : The equation: h(x) = -14x^2 + 200x : "Find the height, in feet,of the rock after 8 seconds in the air.; x=8 h(8) = -14(8^2) + 200(8) h(8) = -14(64) + 1600 h(8) = -896 + 1600 h(8) = 704 ft after 8 sec
Do you need help or just answer?
I would prefer the answer, but help is ok. I tried to plug in all the numbers with what you gave me... but I just confuse myself. I really need to get this one right
So if you could give me the answer, I'd be very thankful... and it'd be much appreciated!
Ok sure let me figure it out do you have time?
Yes, take your time. Thank you so much!!
Your welcome!
315ft at 5 seconds
is the answer
Was it right?
No I got it wrong, I just now have to get the last one right. It's no problem. Do you have time to maybe help me with one last one?
Sure
Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x. The company also discovered that it costs $45 to produce 2 calculators, $143 to produce 4 calculators, and $869 to produce 10 calculators. Find the total cost of producing 1 calculator.
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