Answer:
The system of linear equations are 
and 
Step-by-step explanation:
Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.
(50 students picked, 25 picked dinner the rest picked lunch and breakfast)
To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?
Solution :
The number of students who chose breakfast be 'x'
The number of students who chose lunch be 'y'.
The number of students who chose lunch was 5 more than the number of students who chose breakfast.
i.e.
Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.
So,
Therefore, the system of linear equations are and
Vertical compression of a function is moving the graph of the function towards the x axis.
It is done by multiplying F(x) with IaI<1, the absolute value of a is less than 1. Then we get f(x)=a*F(x).
If we have a function F(x)=x, and we multiply it by a=1/2, we get:
f(x)=a*F(x)=a*x=(1/2)*x.
This linear function is vertically compressed because the the graph of a new function is closer to the x axis.
The answer is m = -59/42
Step by step explanation is in the image below.
Midpoint = ( x1 + x2)/2, (y1+ y2)/2
Midpoint = (10 +6)/2, (6+10)/2
Midpoint = (8,8)
Answer:
A. E={
and 
is a multiple of 8}
Step-by-step explanation:
Let represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={ and is a multiple of 8}
The correct choice is A
