Answer:
Step-by-step explanation:
7.
roots=-2,-1,1,3
critical points=(-1.5,-3),(0,6),(2,-13)
absolute minimum=-13
End behavior :approaches +infinity
Relative max=6 at (0,6)
Relative min. =-3 at (-1.5,-3)
and -13 at (2,-13)
interval of increase=(-1.5,0)∪(2,∞)
interval of decrease=(-∞,-1.5)∪(0,4)
8.
roots=-1,2
critical points=(0.5,10.5),(4,-10.5)
Abs.max/abs.min=not defined
End behavior:-∞ to +∞
Relative max=10.5
Relative min=-10.5
interval of increase=(-∞,0.5) ∪ (4,∞)
interval of decrease=(0.5,4)
The LCM is the lowest number that is a multiple of all three numbers.
First, list the multiples of each number
8: 8, 16, 24, 32,40 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
10: 10, 20, 30 40, 50, 60, 70, 80, 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
The LCM is 120 because there is no lower number that is a multiple of all three numbers.
Hope this helped!
If Liza takes 120 steps, then the number of steps taken by Pete will be 72.
<h3>What are a ratio and a proportion?</h3>
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.
Then the relation between is given as
4 Pete → 4 Lulu
5 Lulu → 4 Liza
Then we have

If Liza takes 120 steps, then the number of the step taken by Pete will be

More about the ratio and the proportion link is given below.
brainly.com/question/14335762
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