Answer:
D
Step-by-step explanation:
The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:
![0 = 4 {x}^{2} - 36x](https://tex.z-dn.net/?f=0%20%3D%204%20%7Bx%7D%5E%7B2%7D%20%20-%2036x)
I will use the quadratic formula:
![\frac{ 36 + \sqrt{ {36}^{2} - 4(4)(0)} }{2(4)} \\ \frac{ 36 + 36}{8} = 9](https://tex.z-dn.net/?f=%20%5Cfrac%7B%2036%20%20%2B%20%20%5Csqrt%7B%20%7B36%7D%5E%7B2%7D%20%20-%204%284%29%280%29%7D%20%7D%7B2%284%29%7D%20%20%5C%5C%20%20%5Cfrac%7B%20%2036%20%2B%2036%7D%7B8%7D%20%20%3D%209)
Therefore, x = 9 is a 0. Let's check with subtracted root now:
![\frac{ 36 - \sqrt{ {36}^{2} - 4(4)(0)} }{2(4)} \\ \frac{ 36 - 36}{8} = 0](https://tex.z-dn.net/?f=%20%5Cfrac%7B%2036%20%20%20-%20%20%20%20%5Csqrt%7B%20%7B36%7D%5E%7B2%7D%20%20-%204%284%29%280%29%7D%20%7D%7B2%284%29%7D%20%20%5C%5C%20%20%5Cfrac%7B%2036%20%20-%20%2036%7D%7B8%7D%20%20%3D%20%200)
It appears 0 is also a root.
Therefore, the answer is D.
Answer:
6 4/9
Step-by-step explanation:
You divide 58 and 8 and your answer would be 6.444444 repeating.
Answer:
16,080 km.
Step-by-step explanation:
We want the total number of kilometers in one year.
so
4 weeks /month.
for Work: 9 months in the year 60 km/day 5 days/week
Family Visit : 720 km for 4 times a year
Personal: 200 km / month
Work total = 60 km/day * 5 days/week * 4week/month * 9 months
WorkTotal= 60*5*4*9 = 10,800 km
FamilyTotal= 4*720 = 2880 km
Personal = 200*12 = 2400 km
Total = 10,800 + 2880 + 2400 = 16,080 km