We are given the functions:
f(x) = 4 x – 5 --->
1
g(x) = 3 x + 7 --->
2
To find for the value of f(x) + g(x), all we have to do is
to add equations 1 and 2:
f(x) + g(x) = 4 x – 5 + 3 x + 7
f(x) + g(x) = 7 x + 2 = y
In this case, for any real number value assign to x, we get
a real number value of y. This is because the function is linear.
Therefore the domain of the function is all real numbers.
In 3 years she will earn 1,800.
15,000 x .12=1,800
The answer is 4, first you the $27 and subtract the $3, then u take 24 and divide it by 6
Answer:
A (9, 3)
Step-by-step explanation:
First the point is rotated 90° counterclockwise about the origin. To do that transformation: (x, y) → (-y, x).
So S(-3, -5) becomes S'(5, -3).
Next, the point is translated +4 units in the x direction and +6 units in the y direction.
So S'(5, -3) becomes S"(9, 3).
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is
. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have

and 2z and -13z are like terms, so we can sum them:

Finally we arrive to the whole expression, which is

Because, again, 5z and 11z were like terms.