The math club wants to order t-shirts to recognize students who improved their performances in algebra I. Hot shirt charges $12.
2 answers:
You might be interested in
Let us denote the smaller even integer by 
.
Then, the next even integer must be
.
To verify, set as any even number, say 
.
Then, the next even integer must be 2 more than this number, i.e.
.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Then, the next even integer must be
To verify, set
Then, the next even integer must be 2 more than this number, i.e.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Answer:
C. x = -1 ; x ~8.1
Step-by-step explanation:
First we graph
Here we have x+2 under the square root. x+2>=0, x>=-2
So we take some x values greater than -2 and find out f(x) to make a table for graphing
x f(x)
-2
-1 -4
2 -5
Graph it and extent the graph
Now we graph
Given equation is in the form of g(x) = a|x-h| + k
where (h,k) is the vertex
here h= 3 and k = 4, so vertex is (3,4)
Now make a table, pick some numbers for x less than and greater than vertex
x y
-1
0
3 4
6 -2
Both graphs are attached below
The graph of f(x) and g(x) interests at x= -1 and x=8.1
