Answer:
Choice D
Step-by-step explanation:
(x-1)²
- =(x-1)(x-1)
- =x*x+x*−1+-1*x+-1*-1
- =x²−x−x+1
- =x²−2x+1
Choice D is accurate.
Answer:
It takes 33 hours to produce 66 cars.
Step-by-step explanation:
When dividing 220 workers buy the amount of cars produced the amount of time spent on making 66 cars is 33 hours.
Easier Explaination:
Divide the amount of workers to the cars produced to find out how many hours it takes.
Step-by-step explanation:
Since, y varies directly as x:
![\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k = \frac{21}{7} = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \: \: y = - 5 \: in \: (2)\\ - 5 = 3x \\ x = \frac{ - 5}{3} \\ \: \: \: \: \: \: \huge \red{ \boxed{x = - \frac{5}{3} }}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20y%20%3D%20kx..%281%29%20%5C%5C%20%28k%20%3D%20constant%20%5C%3A%20of%20%5C%3A%20proportionality%29%20%5C%5C%20at%20%5C%3A%20y%20%3D%2021%20%5C%3A%20and%20%5C%3A%20x%20%3D%207%20%5C%5C%2021%20%3D%20k%20%5Ctimes%207%20%5C%5C%20k%20%3D%20%20%5Cfrac%7B21%7D%7B7%7D%20%20%3D%203%20%5C%5C%20plugging%20%5C%3A%20k%20%3D%203%20%5C%3A%20in%20%5C%3A%20equation%20%5C%3A%20%281%29%20%5C%5C%20y%20%3D%203x..%282%29%20%5C%5C%20plugging%20%5C%3A%20%20%5C%3A%20y%20%3D%20%20-%205%20%20%5C%3A%20in%20%5C%3A%20%282%29%5C%5C%20%20-%205%20%3D%203x%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B3%7D%20%20%5C%5C%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5Chuge%20%5Cred%7B%20%5Cboxed%7Bx%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20%7D%7D)
Look at the last digit. If the last digit is 0, then the number can be divided by 10 <span> evenly (without a remainder).</span>
You probably are interested in setting up system of equations to find the number of fans for Home Team and Visiting Team.
Based on this data, we can find the number of number of fans of each team.
Following data has been provided:
1) Total number of fans stadium can hold = 52000
So on a given day if stadium is full,
H + V = 52000
2) Home team has 5 times as many fans as the visiting team.
So,
H = 5V
Using the value of H in first equation, we get:
5V + V = 52000
6V = 52000
V = 8667 fans
H + V = 52000
⇒
H = 52000 - V = 52000 - 8667 = 43333 fans
So,
there will be 43,333 fans of home team and 8667 fans of visiting team.