Answer:
11. When 3 students are working, they each need to plant 36 trees. So the club must plant 36*3 = 108 trees total. The equation would be t = 108/s, and the constant of proportionality is 108.
12. The constant of proportionality represents the number of trees the club needs to plant regardless of the number of participants.
![\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{4}{2(1)}~~,~~12-\cfrac{4^2}{4(1)} \right)\implies (-2~~,~~12-4)\implies (-2~,~8)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvertex%20of%20a%20vertical%20parabola%2C%20using%20coefficients%7D%20%5C%5C%5C%5C%20f%28x%29%3D%5Cstackrel%7B%5Cstackrel%7Ba%7D%7B%5Cdownarrow%20%7D%7D%7B1%7Dx%5E2%5Cstackrel%7B%5Cstackrel%7Bb%7D%7B%5Cdownarrow%20%7D%7D%7B%2B4%7Dx%5Cstackrel%7B%5Cstackrel%7Bc%7D%7B%5Cdownarrow%20%7D%7D%7B%2B12%7D%20%5Cqquad%20%5Cqquad%20%5Cleft%28-%5Ccfrac%7B%20b%7D%7B2%20a%7D~~~~%20%2C~~~~%20c-%5Ccfrac%7B%20b%5E2%7D%7B4%20a%7D%5Cright%29%20%5C%5C%5C%5C%5C%5C%20%5Cleft%28-%5Ccfrac%7B4%7D%7B2%281%29%7D~~%2C~~12-%5Ccfrac%7B4%5E2%7D%7B4%281%29%7D%20%5Cright%29%5Cimplies%20%28-2~~%2C~~12-4%29%5Cimplies%20%28-2~%2C~8%29)
well, the quadratic has a leading term with a positive coefficient, meaning is a parabola opening upwards, like a "bowl", comes from above down down down, reaches a U-turn, namely the vertex, and goes back up up up.
so the minimum value is at the vertex of course, and the minumum is well, just the y-coordinate of the vertex, 8.
0.012 is the answer......
Answer:
(-2, 10)
Step-by-step explanation:
Right 4 units means add 4 units to the x axis value, which is negative 2. So -6+4 is -2. Up 2 units means add 2 units to the y axis value, which is 8. If we add 2 to 8, we get 10. So our new value is (-2,10)