Step-by-step explanation:
The position of the mouse at time t is 4 + 12t.
The position of the cat at time t is 17t.
When the positions are equal:
4 + 12t = 17t
4 = 5t
t = 0.8
It takes 0.8 seconds.
Should be increasing because the line is going up slanted upwards :)
What is her bill?
To do this on your own, you round up the amount by 5¢ or 10¢, whichever is closer, and then take 20% of her bill
Remember to put 20% into the calculator as 0.2 and multiply 0.2 by her bill that has been rounded up
Given that and , we can say the following:
Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).
Thus, let's set what is under both square roots to be greater than 0:
Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.
Now, let's look back at the function entirely, which is:
Since is on the bottom of the fraction, we must say that , since the denominator can't equal 0. Thus, we must exclude from the domain.
Thus, our answer is Choice C, or .
<em>If you are wondering why the choices begin with the symbol, it is because this is a way of representing that lies within a particular set.</em>
The landscape company charges 30+15x