Consider an absolute value inequality.
For example, 3≤|x-7|
this means that x-7 can be
i) 3, 3.4, 5, 7.5 etc
or ii) -3, -3.2, -4.7 etc since these values in abs value all are ≥3
thus the set of all values in i) is represented by x-7≥3, which means x≥10
and the set of all values in ii) is x-7≤-3, which means x≤4.
Thus, the compound inequality is : x≥10 OR x≤4
an absolute inequality corresponding to this compound inequality is 3≤|x-7|
The correct question is
<span>A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot. </span>How high up the house does the ladder reach?
see the picture attached to better understand the problem
applying the Pythagoras Theorem
15²=4²+h²-----> h²=15²-4²-----> h²=225-16----> h=√209
h=14.46 ft------> h=14.5 ft
the answer is14.5 ft
Answer:
Bacterial population at the time of 10 hours = 1040000
Step-by-step explanation:
Let the function that defines the bacterial population after 'x' hours is,
p(x) = a(b)ˣ
Where a = Initial population
And 'x' = Duration or time
Since bacterial population is getting doubled every hour,
2a = a(b)¹
b = 2
Therefore, function will be,
p(x) = a(2)ˣ
From the graph attached,
Point (5, 32500) lies on the graph of the function.
32500 = a(2)⁵
a = 
Therefore, the function will be,
p(x) = 1015.625(2)ˣ
For x = 10 hours,
p(10) = 1015.625(2)¹⁰
= 1040000 bacteria