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:
The answer is option 1 , 2 and 3 or A , B and C
Step-by-step explanation:
Slope-intercept form is y = mx + b.
In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.
1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
y = 8x
2. Slope = 1 ; Y-intercept = 2
y = mx + b
m = 1 ; b = 2
y = 1x + 2
y = x + 2
The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.
Hope this helps!
A = l * w
66 = l * (l - 5)
66 =
-5l
0 =
-5l - 66
l = 11 or 6 check which works.
A = 11 * 6, which fits.
length = 11 miles
width = 5 miles
(x + 8)(x - 6)
to factorise consider the factors of - 48 which sum to + 2
These are + 8 and - 6 thus
x² + 2x - 48 = (x + 8)(x - 6)
