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
Put a dot in the middle and put a line up on one side and across the sides
Answer:
$12,000,000
Step-by-step explanation:
To find her commission, create a proportion.
To solve use cross multiplication.
40(x) = 100(480000)
40x = 48000000
x= 12,000,000
Answer:
8/18=4/9
Step-by-step explanation:
since it there is 1/6 for red marbles and 5/18 for blue marbles it works because it is 8*9=72 for the denominator and 4*3=12 so it is 12/72=1/6 and for blue it is 5/18 because it is 5*4=20 and 20/72=10/36=5/18 so it is 1/6+5/18=8/18=4/9
Answer:
The total weight of the assembly is 7 pounds.
Step-by-step explanation:
The total weight of the assembry is found by the sum of the weights of each components.
We have:
2 wheels, each weighing 2.6 pounds, so 2*2.6 = 5.2 pounds
An axle, which weighs 1.8 pounds, so 5.2+1.8 = 7 pounds
The total weight of the assembly is 7 pounds.
