Answer:
3 times 23 is your prime factorization. hope this helps!
Step-by-step explanation:
Answer:
87.72%
Step-by-step explanation:
Data provided in the question:
Design capacity of the system = 1900 students per semester
Effective capacity = 90% of design capacity
Actual number of students = 1500
Now,
Efficiency = [ [ Actual capacity ] ÷ [ Effective capacity ] ] × 100%
also,
Effective capacity = 90% of 1900
= 0.90 × 1900
= 1710
Efficiency = [ 1500 ÷ 1710 ] × 100%
= 0.8772 × 100%
= 87.72%
Ok, so we know one point is (4,2) and the other is (-4, 0)
Slope: -2/-8 = 1/4
y ? 1/4x + b
0 = -1 + b
b = 1
y < 1/4x + 1
First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
