Answer:
Step-by-step explanation:
Let the original fraction is: x/ x-1
And we have that:
- 4 is added to the numerator => new numerator is: x+4
- 3 is subtracted from the denominator => new denominator is: x -1-3 = x -4
the fraction itself is increased by 2
<=> 
= 
<=> 
Solve for X then we substitue into the original fraction
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:
He subtracted incorrectly
Step-by-step explanation:
You multiply 42.75 x 4 and get 171. Then you add 171+52.45=223.45 and then you subtract 223.45-18=205.45 and then you multiply 223.45 x .3333 = 68.3265 or 68.33 (rounded)
Answer is the second graph
The more payments you pay, the less money you owe.
Answer:
both shape together equals 234
Step-by-step explanation:
trapezoid= 14+10/2*4=34
rectangle=10*20=200
