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iwillrektyou
 one year ago
1. The height of water shooting from a fountain is modeled by the function f(x) = −4x2 + 24x − 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. (2 points)
−4(x − 3)^2 − 29; The maximum height of the water is 3 feet.
−4(x − 3)^2 − 29; The maximum height of the water is 29 feet.
−4(x − 3)^2 + 7; The maximum height of the water is 7 feet.
−4(x − 3)^2 + 7; The maximum height of the water is 3 feet.
2. In the function f(x) = 4(x2 − 6x + [blank] ) + 20, what number belongs in the blank to complete the square?
iwillrektyou
 one year ago
1. The height of water shooting from a fountain is modeled by the function f(x) = −4x2 + 24x − 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. (2 points) −4(x − 3)^2 − 29; The maximum height of the water is 3 feet. −4(x − 3)^2 − 29; The maximum height of the water is 29 feet. −4(x − 3)^2 + 7; The maximum height of the water is 7 feet. −4(x − 3)^2 + 7; The maximum height of the water is 3 feet. 2. In the function f(x) = 4(x2 − 6x + [blank] ) + 20, what number belongs in the blank to complete the square?

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iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0For #2, I think the blank is 9, for #1, I'm totally confused.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=4x^2+24x29\] in the method of completing the square, this is how I would go about solving it. first group your xterms together. \((4x^2+24x)29\) Now out of the grouped xterms, factor out the LCM, 4.: \(4(x^26x)29\) We complete the square inside the parenthesis. therefore we need to find a new "c" value. \(c= \left(\dfrac{6}{2}\right)^2 = (3)^2 = 9\) plug this back in to the parenthesis to complete the quadratic form, \(ax^2+bx+c\) \(4(x^26x+9)29\) Now this is the problem child, a lot of people forget that whatever you do inside the ( ), you `must also do outside the ( )`. Because we added `+9` inside the parenthesis, we will have to `subtract` the equivalent. That is, \((4 \cdot 9) = 36\)\[4(x^26x+9)29(36)\]\[4(x^26x+9)29+36\]\[4(x^26x+9)+7\] Now we must simplify the stuff in ( ) because it is a perfect square after all. \[\color{red}{\boxed{4(x3)^2+7}}\]

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much! Can you please check if 9 is the answer to #2?

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0And for the first problem, the vertex is (3, 7), so is the maximum height 3 feet?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The maximum `height` in correlated to the `yvalue`

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Thank you very much.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you understand how I went about solving it? @iwillrektyou

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Yes, I also did it on my paper and got the same answer. For #2, I got 9, using the middle coefficient. 6/2 = 3 ; 3^2 = 9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes that is correct. (6/2)^2 = (3)^2 = 9 \(\checkmark\)

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Would you mind helping me with a few more?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i've actually got to head off and work on my own homework, so im sorry about that!

iwillrektyou
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much for your time and patience!
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