Yes you need to! And you need to be careful not to forgot that when doing your calculations!!
Answer:
0 ≤ t ≤ 5.
Step-by-step explanation:
In the function
,
is the independent variable. The domain of
is the set of all values of
that this function can accept.
In this case,
is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,
.
.
The first condition is an inequality about
, which is indeed the independent variable.
However, the second condition is about
, the dependent variable of this function. It has to be rewritten as a condition about
.
.
Hence, t ≤ 5.
Combine the two inequalities to obtain the domain:
0 ≤ t ≤ 5.
Answer:
2
Step-by-step explanation:
Answer:
m = -8
Step-by-step explanation:
Use the slope formula: ![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![m=\frac{5+3}{-2+1} =\frac{8}{-1} =-8](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B5%2B3%7D%7B-2%2B1%7D%20%3D%5Cfrac%7B8%7D%7B-1%7D%20%3D-8)
m = -8