Answer:
See below.
Step-by-step explanation:
We need to figure out the function of g(x) first.
y=mx+b
7=2x+b
5=4x+b
Subtract the first from the second.
2x=-2
x=-1
Plug back into the equation.
7=-2+b
b=9
y=-x+9
A. The y-intercept of the function f(x) is less than the y-intercept of g(x).
The y-intercept of f(x) is 8 and of g(x) is 9. This is true.
B. Function f(x) is non-linear. This is true.
C. Function f(x) has more x-intercepts than g(x). f(x) does not have any x-intercepts. g(x) has 1. This is false.
D. The y-intercept of the function f(x) is greater than the y-intercept of g(x). Since A is true, this must be false.
E. The y-intercepts of f(x) and g(x) are equal. This is false, since A is true.
Your answer should be 16! If you would like, you can replace x with 16, and it will turn out to be 240!
<u>Complete Question</u>
The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).
(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.
Number of years and salaries of members of the two governing bodies
(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?
Answer:
(a)
(b) S(5)=$177.2 thousand.
Step-by-step explanation:
(a)
The salary increases by $2 thousand per year since 2008. Therefore, the completed table is below:
Therefore, an expression that gives the salary (in thousands of dollars) of members of the two governing bodies t years since 2008 is:
(b)
When t=5
This means that 5 years after 2008 (i.e Year 2013) the salary of members of the two governing bodies will be approximately $177.2 thousand.