Part A: f(t) = t² + 6t - 20
u = t² + 6t - 20
+ 20 + 20
u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
u + 29 = t² + 3t + 3t + 9
u + 29 = t(t) + t(3) + 3(t) + 3(3)
u + 29 = t(t + 3) + 3(t + 3)
u + 29 = (t + 3)(t + 3)
u + 29 = (t + 3)²
- 29 - 29
u = (t + 3)² - 29
Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
------------------------------------------------------------------------------------------------------------------
Part A: g(t) = 48.8t + 28 h(t) = -16t² + 90t + 50
| t | g(t) | | t | h(t) |
|-4|-167.2| | -4 | -566 |
|-3|-118.4| | -3 | -364 |
|-2| -69.6 | | -2 | -194 |
|-1| -20.8 | | -1 | -56 |
|0 | -28 | | 0 | 50 |
|1 | 76.8 | | 1 | 124 |
|2 | 125.6| | 2 | 166 |
|3 | 174.4| | 3 | 176 |
|4 | 223.2| | 4 | 154 |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.
Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.
Answer:
The correct option is C) 21.1 and 0.68
Step-by-step explanation:
Consider the provided information.
The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.
Therefore μ = 21.1 and σ = 4.8
It is given that the sample of 50 students;
Thus, sample size ( n ) = 50
According to the central limit theorem,
Therefore
Hence, the correct option is C) 21.1 and 0.68
Answer:
2,48,000
Step-by-step explanation:
- Initial population of bacteria = 15,500
- Bacteria doubles after every 234 hours
- So, after 0 (zero) hours, no of bacteria = 15,500
- After 234 hours, no. of bacteria = 2(15,500) = 31,000
- After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)
- After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)
- After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)
Is the picture a square
I can give better answer if I know
it wont let me type in the comments
