Answer:
Step-by-step explanation:
y - 1 = 2(x + 2)
y - 1 = 2x + 4
y = 2x + 5
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer: 100
Step-by-step explanation:
Given : The total number of seats planned in new restaurant =134
The percentage of customers demand a smoke-free area = 62%
It can also be written as 
The mean of this binomial distribution will be :-

Standard deviation:-

Now, the number of seats should be in the non-smoking area in order to be very sure of having enough seating there :-

Answer:
The first one, third one, fourth one, and sixth one.
Step-by-step explanation:
I hope this helps!
The keyword is "sum" which tells you x, y, and z are being added. One half of the sum means that the sum of the three numbers is going to be divided by 2.
x + y + z
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2