Answer:
x^2+x+3=0
Step-by-step explanation:
x=-(1+√1-12)/2
Answer:
2
Step-by-step explanation:
Part A
Fraction of peach 2/5
Total = 200
number of students that pick peach as their favorite fruits
![\begin{gathered} =\text{ }\frac{2}{5}\text{ x 200} \\ =\text{ }\frac{2\text{ x 200}}{5} \\ =\text{ }\frac{400}{5} \\ =\text{ 80 students} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Ctext%7B%20%7D%5Cfrac%7B2%7D%7B5%7D%5Ctext%7B%20%20x%20%20200%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B2%5Ctext%7B%20x%20200%7D%7D%7B5%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B400%7D%7B5%7D%20%5C%5C%20%3D%5Ctext%7B%2080%20%20students%7D%20%5Cend%7Bgathered%7D)
Part B
number of students that pick orange as their favorite fruits
![\begin{gathered} =\frac{3}{8}\times200^{} \\ =\text{ }\frac{3\text{ x 200}}{8} \\ =\text{ }\frac{600}{8} \\ =\text{ 75} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Cfrac%7B3%7D%7B8%7D%5Ctimes200%5E%7B%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B3%5Ctext%7B%20x%20200%7D%7D%7B8%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B600%7D%7B8%7D%20%5C%5C%20%3D%5Ctext%7B%2075%7D%20%5Cend%7Bgathered%7D)
number of students that pick plum as their favorite fruits
![\begin{gathered} =\text{ }\frac{1}{10}\text{ x 200} \\ =\text{ }\frac{200}{10} \\ =\text{ 20} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Ctext%7B%20%7D%5Cfrac%7B1%7D%7B10%7D%5Ctext%7B%20x%20%20200%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B200%7D%7B10%7D%20%5C%5C%20%3D%5Ctext%7B%2020%7D%20%5Cend%7Bgathered%7D)
There are 55 more students that chose orange rather than plum.
h = ![\frac{2A}{b + c}](https://tex.z-dn.net/?f=%5Cfrac%7B2A%7D%7Bb%20%2B%20c%7D)
multiply both sides by 2 to eliminate the fraction
2A = ( b + c)h
isolate h by dividing both sides by (b + c)
h = ![\frac{2A}{b + c}](https://tex.z-dn.net/?f=%5Cfrac%7B2A%7D%7Bb%20%2B%20c%7D)