Answer:
a) (x, y) = (1, 7)
Step-by-step explanation:
Let be the following system of inequalties:


We can find the right option by evaluating each option in the system of inequalities:
a) (x, y) = (1, 7)


Then,
(TRUE)
(FALSE)
(1, 7) is not a solution of the system of inequalities.
b) (x, y) = (1, -7)


Then,
(TRUE)
(TRUE)
(1, -7) is a solution of the system of inequalities.
c) (x, y) = (1, -5)


Then,
(TRUE)
(TRUE)
(1, -5) is a solution of the system of inequalities.
d) (x, y) = (-1, 6)


Then,
(TRUE)
(TRUE)
(-1, 6) is a solution of the system of inequalties.
Therefore, we conclude that correct answer is A.
Answer:
x^2 + 18x + 81 complete's the square.
Step-by-step explanation:
y = [x^2 + 18x + (18/2)^2 ] - (18/2)^2
y = [x^2 + 18x + 81] - 81
y = (x + 9)^2 - 81 This is just to make the completion of the square accurate.
You can't just add something to an expression. You have to balance it out.
Answer: 0.129
Step-by-step explanation:
Let
denotes a random variable that represents the mean weight of babies born.
Population mean : 
Standard deviation: 
Sample size = 83
Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :

hence, the required probability = 0.129
Answer: 168 sq. in.
Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168
In volume you’re finding the amount of space in a certain 3D object.