To identify the grpah correspondig to the given function find the zeros of the function (use the quadratic formula):
![\begin{gathered} f(x)=\frac{1}{2}x^2+2x-6 \\ \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \\ a=\frac{1}{2} \\ \\ b=2 \\ c=-6 \\ \\ \\ x=\frac{-2\pm\sqrt[]{2^2-4(\frac{1}{2})(-6)}}{2(\frac{1}{2})} \\ \\ x=\frac{-2\pm\sqrt[]{4-(-12)}}{1} \\ \\ x=\frac{-2\pm\sqrt[]{16}}{1} \\ \\ x=\frac{-2\pm4}{1} \\ \\ x_1=-2+4=2 \\ x_2=-2-4=-6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B2x-6%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20%20%5C%5C%20a%3D%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20b%3D2%20%5C%5C%20c%3D-6%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm%5Csqrt%5B%5D%7B2%5E2-4%28%5Cfrac%7B1%7D%7B2%7D%29%28-6%29%7D%7D%7B2%28%5Cfrac%7B1%7D%7B2%7D%29%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm%5Csqrt%5B%5D%7B4-%28-12%29%7D%7D%7B1%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm%5Csqrt%5B%5D%7B16%7D%7D%7B1%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-2%5Cpm4%7D%7B1%7D%20%5C%5C%20%20%5C%5C%20x_1%3D-2%2B4%3D2%20%5C%5C%20x_2%3D-2-4%3D-6%20%5Cend%7Bgathered%7D)
As the zeros are 2 and -6 the graph cross the x-axis in x=2 and x=-6
<h2>Answer: D</h2>
There chance for just getting across each row would be 50% but there chance of getting across completely is 1 in 18
Answer:
5/6
Step-by-step explanation:
Multiply both sides of equation by 10/3.
d = 1/4 × 10/3
d = 10/12 = 5/6