Answer:
250
Step-by-step explanation:
40%= 100
10%=25
100%= 250
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
.
Answer:
56
Step-by-step explanation:
Answer:
(a)i. Area=72 square feet
ii. Perimeter =34 feet
(b) Baseboard - perimeter
Carpet - area
Step-by-step explanation:
The room is 9ft x 8ft, therefore it is rectangular shaped.
Length=9ft; Breadth=8ft
(a)i. Area of a Rectangle= Length X Breadth
Area of the room=8X9=72 square feet
ii. Perimeter of a Rectangle=2(Length+Breadth)
Perimeter of the room=2(8+9)=2 X 17 =34 feet
(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter
A carpet covers the entire floor so it has to do with the area of the room.
Answer:

Step-by-step explanation:
Multiply both sides by 2
2x=3y+6
Move variable to the left-hand side and change its sing
-3y=6-2x
Divide both sides of the equation by -3
