Answer:
68
Step-by-step explanation:
I'm going to assume you meant "what is the value of f(g(-2))?"
g(-2) = 5(-2) + 4 = -6
f(-6) = 8 - 10(-6) = 68
Answer:
<u>Number of rooms reserved for the students are - 90 .</u>
Step-by-step explanation:
Firstly ,
As we know 60% of the 600 students went on the trip,
Then ,
Number of students went on the trip = 60% of 600
= 
= 360
Now ,
Given - One room is reserved for 4 students ,
Therefore , Number of rooms for 360 students = 
= 90
<u>Hence , the answer is 90 rooms reserved for the students.</u>
Answer:
- y= -12
- x = 7
- q = -1
- x = 24
Step-by-step explanation:
1. ..............................................
- 6(y + 7) = 2(y - 3)
- 6y + 42 = 2y - 6
- 6y - 2y = -6 - 42
- 4y = -48
- y = -12
2...............................................
- 3x + 2(x - 5) = 25
- 3x + 2x - 10 = 25
- 5x = 25 + 10
- 5x = 35
- x = 7
3 . ..............................................
- 10q + 3q + 5 = 2(q - 3)
- 13q + 5 = 2q - 6
- 13q - 2q = -6 - 5
- 11q = -11
- q = -1
4. ..............................................
- 1/3(x + 6) = 2/3(x - 9)
- 3*1/3(x+6) = 3*2/3(x - 9)
- x + 6 = 2(x - 9)
- x + 6 = 2x - 18
- 2x - x = 6 + 18
- x = 24
We have to determine if the functions are linear or not.
We can do this by rearranging the equations in this form:

where m and b are constants.
<em>NOTE: There are many ways to prove that a function is linear, but this is the easiest for this question. </em>
36.

As this function can not be written in the form y=mx+b, then it is not linear.
37.

This function is now in the form y=mx+b, where m=3/4 and b=-15. Then, this function is a linear function.
Answer:
36. Non-linear.
37. Linear.
Answer:
Standard form for straight line
y = m x + b
If x = 0 then y = b = 3
y = m x + 3
Since m is the slope the requested equation is y = x + 3