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:
x=4.5.
The slope is undefined. Thus the y variable is irrelevant. It appears as though the line crosses through 4.5 on the x axis making the equation
x = 4.5
1: multiple both sides by 2
Ex:-7n+10=-32
2: subtract 10 from both sides
Ex: -7n=-42
3:divide both sides by -7 to get n alone
Ex: n=6
Answer is 6 and the process is elimination!
Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $x.
Then Albert's share = 3/14 x
= 3
/ 14
Michal's Share = 5x/14
If Michael received $196 more than Albert, then the difference between their share is the $196.
1. There are12 total letters 5 vowels and 7 consonants in the hawaiin alphabet.
2. probability of 1st letter being a vowel is 5/12
3. probability of 2nd letter being a vowel is 5/12
4. probability of both occurring is (5/12 * 5/12) = 25/144 ←