Answer: Since her art and music sections each only had half the number of sheets of paper as a core subject, together the two sections had the same amount of paper as a core subject. Therefore, it is almost like her notebook had five core subjects, rather than four core subjects and two electives. If she divided the 200 sheets equally among the five core subjects, there would be 200 ÷ 5 = 40 sheets in each section. Now we can see that art would actually have half of this amount, or 20 sheets of paper.
Rewrite the given equation as

.
Since

, you can conclude that the imimum value of y will be gained for the minimum value of

. The minimum value of

is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.
Jamal's score is 80
<u>Explanation:</u>
Given:
Number of questions = 100
Let w be the number of wrong answers
Let r be the number of right answers
According to question,
r = 4w
r + w = 100
Solving both the equations we get:
4w + w = 100
5w = 100
w = 20
If w = 20 then r = 4 X 20 = 80
Therefore, Jamal's score is 80
If the equation is y=(x+2)-3 then the shifts are
3 down and 2 to the left
Answer:


Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference (d)
In this problem we have the ordered pairs
Let

Find the difference between one term and the next
The difference between one term and the next is a constant
This constant is the common difference
so
The sequence graphed is an Arithmetic Sequence
therefore
The first term is
The common difference is equal to