Answer:
2. domain: {3,4,5,6,7}; range: {2,3,4,5,6}
4. IS a function
Step-by-step explanation:
2. The <em>domain</em> is the list of first numbers of each pair.
The <em>range</em> is the list of second numbers.
4. If each value on the left only has <em>one arrow</em> coming from it, the relation <u>is</u> a function. That is the case here.
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Contrast that to the problem above (3.). In that one, the number 4 1/2 has two arrows coming from it. That relation is NOT a function.
Answer:
The solution to the system of equations is:
Step-by-step explanation:
Given the system of equations
solving the system of equations
solve for y
Divide both sides by -23
Divide both sides by 10
Thus, the solution to the system of equations is:
5 1/4
Explanation:
1/2 is equivalent to 2/4
10 divided by 2 is 5
Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
