Answer:
Option C is correct, i.e. 2x² +7x -4.
Step-by-step explanation:
Given is (2x-1)(x+4)
Applying FOIL method:-
F- multiply First two, O- multiply Outer two, I- multiply Inner two, L- multiply Last two.
So, (2x-1)(x+4) = 2x*x +2x*4 -1*x -1*4
(2x-1)(x+4) = 2x² +8x -1x -4
(2x-1)(x+4) = 2x² +7x -4
Hence, option C is correct, i.e. (2x-1)(x+4) = 2x² +7x -4.
Answer:
36.575
Step-by-step explanation:
you need to find line ab you can do
for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English
So you would plug in 0 for a from the beginning since this is numerical slope definition of a derivative
Answer:
-1
Step-by-step explanation:
7-8=-1
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
.