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:
y=1x-6
Step-by-step explanation:
luckily i love math, plz put as brainliest
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
Answer:
7 mph
Step-by-step explanation:
If b is the rate of the boat, and s is the rate of the stream, then:
b − s = 4
b + s = 10
Solve the system of equations with substitution or elimination. Using elimination, add the equations together:
2b = 14
b = 7
The boat's rate is 7 mph.
-1. Plug in -3 for x which makes 9-10 so -1
