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:
Step-by-step explanation:
12.9 + 10.2x = 35.1
10.2x = 35.1 - 12.9
10.2x = 22.2
x = 22.2/10.2
x= 222/102 = 111/51
Answer:
2.24
Step-by-step explanation:
Let's say "m" is the manufactoring cost per drill (in dollars).
Then the manufactorer sells it for $4 more, so this would be:
m+4
Then the chain store sells it for 140% of the price is paid the manufactorer, so this would be "140% of (m+4)" which translates to "1.4•(m+4)" or more simply:
1.4(m+4)
P(m) = 1.4(m+4), where m is the initial manufactoring cost (in dollars).
Simplifying, you could rewrite this as:
P(m) = 1.4m + 5.6
Answer:
b
Step-by-step explanation:
