Answer:
x>-6, x<-4
Step-by-step explanation:
|x+5|>-1
x+5>−1 (Possibility 1)
x+5−5>−1−5 (Subtract 5 from both sides)
x>−6
x+5<−(−1)(Possibility 2)
x+5<1(Simplify both sides of the inequality)
x+5−5<1−5(Subtract 5 from both sides)
x<−4
x>-6 or x<-4
Distribute:
3x-12=12
Add 12 over
3x=24
divide by 3
x=8
Answer: width = 300
<u>Step-by-step explanation:</u>
Area (A) = Length (L) x width (w)
Given: A = 268,500
L = 3w - 5
w = w
268,500 = (3w - 5) x (w)
268,500 = 3w² - 5w
0 = 3w² - 5w - 268,500
0 = (3w + 895) (w - 300)
0 = 3w + 895 0 = w - 300
-985/3 = w 300 = w
Since width cannot be negative, disregard w = -985/3
So the only valid answer is: w = 300
Answer: f(x) = -3x + 1
So the slope is -3 and the y-intercept is 1
Step-by-step explanation:
This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3
