Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as

The transformed graph has equation:

The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
Answer: 12 blue marbles
Step-by-step explanation: Set up a proportion.
4/5 = x/15
Solve for x, the number of blue marbles. Cross multiply. You will get 60 = 5x
Divide by 5 on each side.
x = 12
There are 12 blue marbles.
The slope is m=5/4 and the y-intercept is b= -10
Answer:
This problem can be solved by working backwards.
Average of 30 students = 70.
Total marks of all the 30 students = 30x70 = 2100
Out of these 30, average of 20 students = 62
Total marks of these 30 students = 30x62 = 1860
So the total marks of the remaining 10 students = 2100-1860 = 240
Hence the average of the remaining 10 students = 240/10 = 24