Answer:
, ![x=\frac{-17-\sqrt{97}}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17-%5Csqrt%7B97%7D%7D%7B6%7D)
Step-by-step explanation:
Use the quadratic formula to solve for all real solutions.
Quadratic formula: ![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Plug in and solve:
![x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B17%5E2-4%283%29%2816%29%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B289-4%283%29%2816%29%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B289-12%2816%29%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B289-192%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B97%7D%7D%7B6%7D%5C%5C)
Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:
![x=\frac{-17+\sqrt{97}}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17%2B%5Csqrt%7B97%7D%7D%7B6%7D)
and
![x=\frac{-17-\sqrt{97}}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17-%5Csqrt%7B97%7D%7D%7B6%7D)
5 yards because 5 yards is 180 inches.
we are given
graph of a quadratic function
Quadratic function:
Those function which has degree=2
we can write it as
![y=ax^2+bx+c](https://tex.z-dn.net/?f=%20y%3Dax%5E2%2Bbx%2Bc%20)
Since, the degree is 2
so, the shape of the curve will be parabolic
so, option-B.........Answer
5 4/7 times 2 3/4. To solve this, convert both to improper fractions:
5 4/7=39/7
2 3/4=11/4
Then, multiply them together. Numerator and numerator, denominator and denominator.
39x11=429
7x4=28
The fraction will be 429/28. Then simplify: 15 9/28.