Let's compare the given function with the model for a quadratic equation:
![\begin{gathered} f(x)=ax^2+bx+b \\ a=2,b=12,c=-6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3Dax%5E2%2Bbx%2Bb%20%5C%5C%20a%3D2%2Cb%3D12%2Cc%3D-6%20%5Cend%7Bgathered%7D)
Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.
The minimum value can be found calculating the y-coordinate of the vertex:
![\begin{gathered} x_v=-\frac{b}{2a}=-\frac{12}{4}=-3 \\ \\ y_v=2\cdot(-3)^2+12\cdot(-3)-6 \\ y_v=2\cdot9-36-6^{} \\ y_v=-24 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_v%3D-%5Cfrac%7Bb%7D%7B2a%7D%3D-%5Cfrac%7B12%7D%7B4%7D%3D-3%20%5C%5C%20%20%5C%5C%20y_v%3D2%5Ccdot%28-3%29%5E2%2B12%5Ccdot%28-3%29-6%20%5C%5C%20y_v%3D2%5Ccdot9-36-6%5E%7B%7D%20%5C%5C%20y_v%3D-24%20%5Cend%7Bgathered%7D)
Therefore the minimum value is -24.
Answer:
1 min and 40 sec
Step-by-step explanation:
well for every ounce it takes 5 sec
5 x 20 = 100
I hope i did this right ^_^
Answer:
9
Step-by-step explanation:
15% or .15 x 60 = 9
Standard form is x + y = number
y + 4 = -6(x + 6)
y + 4 = -6x + -36
y = -6x - 40
6x + y = -40
Answer:
-7x - 14
Step-by-step explanation:
By simplifying the expression:
-3(2x+5) - (x - 1)
-6x-15 -x + 1
-7x - 14