In order to write this quadratic equation in standard form, first note that standard form is ax^2+bx+c for quadratics, where c is the numerical value (constant), B is the coefficient of x, and a is the coefficient of x^2 and is the leading coefficient. Next, multiply the binomials of (x-7) and (x-1). You can do this by using FOIL, or by distributing each of the terms in a binomial to each of the other terms in the other binomial. (Please let me know if you need a walk through in this step in particular). Furthermore, you should then write y= (the simplified trinomial). Now, the quadratic is in standard form. To reiterate, just simplify the two binomials by multiplying them together and writing that they're equal to y.
Answer:
<h3>1 secs</h3>
Step-by-step explanation:
Given the height of the discus can be modeled by the equation y=−16x
^2
+32x+4, where y represents the height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.
Velocity v = dy/dx = 0
dy/dx = -32x + 32
0 = -32x + 32
32x = 32
x = 1 secs
Hence it will take the discus 1 secs to reach its maximum height
Answer:
![|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)
Step-by-step explanation:
You can use these Cramer's formulas to solve for x and y:
![x=\dfrac{|A_x|}{|A|},\\ \\y=\dfrac{|A_y|}{|A|},](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B%7CA_x%7C%7D%7B%7CA%7C%7D%2C%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B%7CA_y%7C%7D%7B%7CA%7C%7D%2C)
where
![|A|=\left|\begin{array}{cc}12&-13\\ \\17&-22\end{array}\right|\\ \\ \\|A_x|=\left|\begin{array}{cc}7&-13\\ \\-51&-22\end{array}\right|\\ \\ \\|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%26-13%5C%5C%20%5C%5C17%26-22%5Cend%7Barray%7D%5Cright%7C%5C%5C%20%5C%5C%20%5C%5C%7CA_x%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D7%26-13%5C%5C%20%5C%5C-51%26-22%5Cend%7Barray%7D%5Cright%7C%5C%5C%20%5C%5C%20%5C%5C%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)
So,
![|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|](https://tex.z-dn.net/?f=%7CA_y%7C%3D%5Cleft%7C%5Cbegin%7Barray%7D%7Bcc%7D12%267%5C%5C%20%5C%5C17%26-51%5Cend%7Barray%7D%5Cright%7C)