Answer:
(x + 9)² = 36
Step-by-step explanation:
Given
x² + 18x + 57 = 12 ( subtract 57 from both sides )
x² + 18x = - 45
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(9)x + 81 = - 45 + 81
(x + 9)² = 36
Answer:
60
Step-by-step explanation:
40%=0.40
0.4x=24
x=24/0.4
x=60
Answer:
<h2>
Function is
y = x.</h2><h2>
Domain: 
.</h2><h2>
Range: 
.</h2>
Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is
, where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get
and 
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is
.
Range is 
Answer: The required probability is 0.334.
Step-by-step explanation:
Since we have given that
N = 15 reservations
probability of reservations will not be used = 0.2
probability of reservations will be used = 1-0.2=0.8
Let X be the Binomial variable,that the number of reservations canceled.
We need to find the probability that more than 8 but less than 12 reservations.
So, it becomes,

Hence, the required probability is 0.334.
Answer:
y= 5s
Step-by-step explanation:
Since 5 stickers are in every sheet depending on the number of sheets you get and times it with 5 you get the number of stickers Tara bought.