Call f(t) the function that gives the rise of the balloon; then the statment translate to:
f(60) > f(45)
X=5 because you subtract 5 from both sides and then you get x=5 remainding
Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since 
, we'll use the first equation.
As we can see, g(-1) is not -4.
Option 2: x = 3
Since 
, we'll use the 2nd equation.
Not -4.
Option 3: x = 7
Since 
, we'll use the 3rd equation.
Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since 
(less than <em>or equal to</em>), we'll use the 3rd equation.
Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
