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
Answer:
p(14,9)
Step-by-step explanation:
steps are in picture.
Note: if you have any question about it you can ask.
1 is in the one-tenths place. If 2 was in this spot, it would be two-tenths.
Here are the place values for the question's given number of 56.123.
5- tens
6- ones
decimal
1- tenths
2- hundredths
3- thousandths
ANSWER:
1 has the place value of C) one-tenth
Hope this helps! :)
The
probability that the student has a part-time job, given that they have a cell phone is 5/8
<h3>What is probability</h3>
Probability is the likelihood or chance that an event will occur.
Given the following parameter:
- Total student = 80%
- Part-time jobs = 45%
- Those with both a cell phone and a part-time job = 30%
Student will cellphone only = 80 - 30 = 50%
The
probability that the student has a part-time job, given that they have a cell phone is 50/80 = 5/8
Learn more on probability here: brainly.com/question/25870256
Answer:
3. f(12) = -10; f(37) = -60
4. f(12) = -102; f(37) = -352
Step-by-step explanation:
3. Put the numbers in the formula and do the arithmetic:
f(12) = 12 -2(12-1) = 12 -22 = -10
f(37) = 12 -2(37-1) = 12 -72 = -60
__
4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Your sequence has a first term a1=8 and a common difference d=-10.
As above, fill in the numbers and do the arithmetic.
f(12) = 8 -10(12 -1) = -102
f(37) = 8 -10(37-1) = -352
