Answer:
A. 1
Step-by-step explanation:
Since it's g(-4), we have to use the first option because that means that x is equal to less than -4.
3√x + 5
3 √-4 + 5
= 1
Answer:
7
Step-by-step explanation:
The ratio of the similar triangles is
14 49
---- = ------
2 x
Using cross products
14x = 2*49
14x = 98
Divide by 14
14x/14 = 98/7
x =7
Answer:
40
Step-by-step explanation:
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20ad-bc)
Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches
The dimension of the mirror is given as:


From the center of the mirror to the floor of the wall, the distance is:

So, the distance to the top of the mirror will be:

Substitute 24 for height


Convert feet to inches



The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.
So, we have:

Convert feet to inches



Hence, the distance is 21 inches
Read more about lengths at:
brainly.com/question/10545161