Answer:
The answer is the option
Step-by-step explanation:
Let
x-------> the balance at the beginning of the month
y------> total amount in deposits this month
we know that
-----> equation A
------> equation B
Substitute
equation B in equation A
Answer: 32
Step-by-step explanation:
When the set has <em>n</em> elements, the power set has 
elements. This also gives us the cardinality of the power set, which is what we are looking for.
A = {2,3,9,7,5}
(1) 2
(2) 3
(3) 9
(4) 7
(5) 5
<em>n</em> = 5
32
Answer:
infinitely many
Step-by-step explanation:
Add 12-y to both sides of the second equation to put it into standard form like the first equation:
y +(12 -y) = (x -12) +(12 -y)
12 = x - y . . . simplify
x - y = 12 . . . . second equation in standard form
We see this is identical to the first equation. That means every solution of the first equation is also a solution of the second equation. There are infinitely many solutions.
Answer:
The domain is all real numbers, x, such that x ≤ 4/3.
The range is all real numbers, y, such that y ≥ 0.
Step-by-step explanation:
The domain is the set of values that can be substituted for x.
The expression inside the square root cannot be negative; therefore, it must be zero or positive.
4 - 3x ≥ 0
-3x ≥ -4
x ≤ 4/3
The domain is: x ≤ 4/3
The range is the set of value that can be substituted for y.
When all numbers of the domain are used for x, and then the square root is taken, the smallest value that the square root can have is zero. Therefore, y can be all real numbers greater than or equal to 0.
The range is: y ≥ 0
