It would be the last option. I just worked the problem out and figured it out. I hope this helped! (:
5x + 9y = 0
to find the x int, sub in 0 for y and solve for x
5x + 9(0) = 0
5x = 0
x = 0
to find the y int, sub in 0 for x and solve for y
5(0) + 9y = 0
9y = 0
y = 0
the reason u cannot use just the intercepts is because the line goes through the origin (0,0)....The intercepts coincide giving u only 1 point...and that is not enough to graph a line
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 and explanation:
To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:
=x(x-2/x)+x(x+2/x)+x(3)< 3/2
=x-2+x+2+3x < 3/2
=5x < 3/2
x < 3/2/5
x < 3/2×5/1
x < 15/2
x < 7 1/2 or 7. 5
To the convert 2/5 to a decimal it will be 0.40 because during when you do 5 do x20 so 1/5 = 0.20 and so on
for the percent it may be 40% but idk