Answer:
If 
is the transformed function, then the parent function 
has been shifted up vertically by 4 units and horizontally right by 2 units
Step-by-step explanation:
Assume the function is 
is the parent function.
A vertical shift,b units up will transform the function to 
.
A horizontal shift 
units.
For instance, if , b=4, and a=2 units.
Then the transformed function becomes:
Answer: 
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so:
Answer:
Throw this sample out and start over again with a better sampling method
Step-by-step explanation:
Biased sampling leads wrong results, since the sample doesn't represent the population which is aimed to be surveyed. Higher/lower confidence level or t distribution cannot correct it.
Confidence level gives the probability of rejecting null hypothesis while it is true. And t-interval is used when the sample size is small or population standard deviation is unknown.
Before choosing confidence level or type of the statistic to infer results, one must follow random sampling not biased.
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
Answer:
x=0
Step-by-step explanation:
-2x+9=9
-2x=9-9
-2x=0
x=0/-2
x=0
