3x+y=-5
12x+5y=27
Let y =-5-3x
Insert y into equ.2
12x+5(-5-3x)=27
12x-25-15x=27 den rearrange
-3x=2 den x =-2/3
Den put xinto equ 1
3(-2/3)+y=5
-2+y=5(collect like terms)
Y =7
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:
Its about 678.584
Step-by-step explanation:
First plug in your given info so put 6 for the r and 6 for thr h. the r stands for radius and the h stands for hight. Then solve for 6 squared which is just 6*6 which is 36 then multiply that by 6 to get 216. then multiply 216 by pie to get your answer.
If you need further explanation just comment on this for help
Answer:
t=2
Step-by-step explanation:
2×2+2=6 a numbee next ti another number means multiply so 2 times 2 makes a 4 and plus anoyher 2 is 6 so t is 2