![\textit{and their root difference is }4\frac{1}{3}\implies \cfrac{13}{3}\qquad so \\ \quad \\ \left[ \cfrac{-b+\sqrt{b^2-4(3)(10)}}{2(3)} \right]-\left[ \cfrac{-b-\sqrt{b^2-4(3)(10)}}{2(3)} \right]=\cfrac{13}{3} \\ \quad \\ \left[ \cfrac{-b+\sqrt{b^2-4(3)(10)}}{6} \right]+\left[ \cfrac{+b+\sqrt{b^2-4(3)(10)}}{6} \right]=\cfrac{13}{3} \\ \quad \\ \cfrac{-b+\sqrt{b^2-4(3)(10)}+b+\sqrt{b^2-4(3)(10)}}{6}=\cfrac{13}{3} \\ \quad \\ \cfrac{2\sqrt{b^2-4(3)(10)}}{6}=\cfrac{13}{3}](https://tex.z-dn.net/?f=%5Ctextit%7Band%20their%20root%20difference%20is%20%7D4%5Cfrac%7B1%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B13%7D%7B3%7D%5Cqquad%20so%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Cleft%5B%20%5Ccfrac%7B-b%2B%5Csqrt%7Bb%5E2-4%283%29%2810%29%7D%7D%7B2%283%29%7D%20%5Cright%5D-%5Cleft%5B%20%5Ccfrac%7B-b-%5Csqrt%7Bb%5E2-4%283%29%2810%29%7D%7D%7B2%283%29%7D%20%5Cright%5D%3D%5Ccfrac%7B13%7D%7B3%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Cleft%5B%20%5Ccfrac%7B-b%2B%5Csqrt%7Bb%5E2-4%283%29%2810%29%7D%7D%7B6%7D%20%5Cright%5D%2B%5Cleft%5B%20%5Ccfrac%7B%2Bb%2B%5Csqrt%7Bb%5E2-4%283%29%2810%29%7D%7D%7B6%7D%20%5Cright%5D%3D%5Ccfrac%7B13%7D%7B3%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Ccfrac%7B-b%2B%5Csqrt%7Bb%5E2-4%283%29%2810%29%7D%2Bb%2B%5Csqrt%7Bb%5E2-4%283%29%2810%29%7D%7D%7B6%7D%3D%5Ccfrac%7B13%7D%7B3%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Ccfrac%7B2%5Csqrt%7Bb%5E2-4%283%29%2810%29%7D%7D%7B6%7D%3D%5Ccfrac%7B13%7D%7B3%7D)
and I'm pretty sure you can take it from there
Answer:
About 30 min.
Step-by-step explanation:
Since it takes 10 min to walk a half of mile, it will take 20 min to walk a whole mile.
Since we will be walking one and a half miles, it should take about 30 minutes.
Hope this helps.
37 • 7 = 259. 259 students going on the trip.
T is less then or equal to 10 equals 100
First, the factor pairs for 18 are:
1, 18
2, 9
3, 6
Since the middle term is -3, the two factors must be 3 apart. The only pair that is 3 values apart is 3, 6.
Since the middle value is negative, the larger number is negative. This means that the 6 is negative.
z = -6
z = 3
Set each equal to 0;
z = -6
z + 6 = 0
z = 3
z - 3 =0
So your factors are (z+6) and (z-3), or answer B.
