Step-by-step explanation:
h = -490t² + 1470t
When h = 980:
980 = -490t² + 1470t
Simplifying:
0 = -490t² + 1470t - 980
0 = t² - 3t + 2
Factoring:
0 = (t - 1) (t - 2)
t = 1, 2
There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.
Answer:
WYM
Step-by-step explanation:
I think the guy who see's the best is on dah chair
Answer:
scale factor = 2.5
x = 10
Step-by-step explanation:
to find the scale factor, divide 10 by 4.
use the answer and divide it by 25 :)
________
10÷4=2.5
25÷2.5=10
Answer:
Option B.
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.
The domain of the inverse function(x values) is the range of the original function(y values).
Original function:
![f(x) = \sqrt{x} - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx%7D%20-%205)
Domain is
, and when
. So the range is
, that is, ![y \geq -5](https://tex.z-dn.net/?f=y%20%5Cgeq%20-5)
Inverse function:
![y = \sqrt{x} - 5](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%7Bx%7D%20-%205)
Exchanging x and y
![x = \sqrt{y} - 5](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7By%7D%20-%205)
![\sqrt{y} = x + 5](https://tex.z-dn.net/?f=%5Csqrt%7By%7D%20%3D%20x%20%2B%205)
![(\sqrt{y})^2 = (x+5)^2](https://tex.z-dn.net/?f=%28%5Csqrt%7By%7D%29%5E2%20%3D%20%28x%2B5%29%5E2)
![y = (x+5)^2](https://tex.z-dn.net/?f=y%20%3D%20%28x%2B5%29%5E2)
The inverse function is ![f^{-1}(x) = (x+5)^2](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%28x%2B5%29%5E2)
Domain:
Range of the original function is
, so the domain of the inverse function is
. The correct answer is given by option B.