8(4x+6y-2z)
32x+48y-16z
Hope this helps!
Answer:
Choice A)
.
Step-by-step explanation:
What are the changes that would bring
to
?
- Translate
to the left by
unit, and - Stretch
vertically (by a factor greater than
.)
. The choices of
listed here are related to
:
- Choice A)
; - Choice B)
; - Choice C)
; - Choice D)
.
The expression in the braces (for example
as in
) is the independent variable.
To shift a function on a cartesian plane to the left by
units, add
to its independent variable. Think about how
, which is to the left of
, will yield the same function value.
Conversely, to shift a function on a cartesian plane to the right by
units, subtract
from its independent variable.
For example,
is
unit to the left of
. Conversely,
is
unit to the right of
. The new function is to the left of
. Meaning that
should should add
to (rather than subtract
from) the independent variable of
. That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically.
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between
and zero will flip its graph about the
-axis. Doing so will also compress the graph vertically. - Multiplying a function by a number that is less than
will flip its graph about the
-axis. Doing so will also stretch the graph vertically.
The graph of
is stretched vertically. However, similarly to the graph of this graph
, the graph of
increases as
increases. In other words, the graph of
isn't flipped about the
-axis.
should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points
's that are on the graph of
fit into the expression
.
X = 52 would be the answer you get.
Explanation you would divide both sides by 0.6 which leaves the x and by dividing 31.2 divided by 0.6 it gives you 52
Answer:
the first one
Step-by-step explanation:
Answer:
A. Randomized experiment.
Seee explanation below.
Step-by-step explanation:
Previous concepts
In a Randomized experiment the results can be use to establish causal inferences about means of control. and present two important characteristics:
a) "the independent or explanatory variable is controlled by direct manipulation.
b) "All other sources of variability are controlled by chance".
An observational study is an empirical but is nonexperimental investigation in order to see the effects caused by an specific treatment.
Solution to the problem
For this case we want to determine the effect of adhesive brands on the bonding of veneer to cabinets.
The experiment is conducted with 6 different groups defined with different adhesive and all the groups are the same except by the type of brand for the adhesive used.
So on this case we see that the variable of interest is controlled with direct manipulation with the creation of the 6 groups. And we have that all the the others sources of variability are controlled by chance since all the groups are identical except by the brand type.
So for this case the correct answer would be:
A. Randomized experiment.