Answer:
8.90 seconds
Step-by-step explanation:
When the rocket hits the ground, its height ( <em>y</em> ) will be zero. This means we can write the equation as:
So we need to <u>solve that equation</u>:
- x =
![\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cfrac%7B%2B%7D%7B-%7D%5Csqrt%7Bb%5E2-4ac%7D%20%20%7D%7B2a%7D)
x₁ = -0.84
x₂ = 8.90
We discard x₁, as it is negative.
So the answer is x₂, 8.90 seconds.
The answer is 20. Multiply 5/6 by 24 to get 20.
Answer:
(D) ![8.46\cdot 3.51^x](https://tex.z-dn.net/?f=8.46%5Ccdot%203.51%5Ex)
Step-by-step explanation:
One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.
460 and 375 are the answer.
Answer:
I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).
Step-by-step explanation:
![5x - 2y = 30](https://tex.z-dn.net/?f=5x%20-%202y%20%3D%2030)
![5(8) - 2(5) = 30](https://tex.z-dn.net/?f=5%288%29%20-%202%285%29%20%3D%2030)
![40 - 10 = 30](https://tex.z-dn.net/?f=40%20-%2010%20%3D%2030)
![30 = 30](https://tex.z-dn.net/?f=30%20%3D%2030)