Answer:
14%
Step-by-step explanation:
To get the percent increase divide 0.8 by 0.7
0.8/0.7 ≈ 1.14285714286
So the percent increase would by about 14 percent
We are given original image R.
It is being translated by (0,3) first and then rotated by a positive angle 90 degrees.
Translation by (0,3) represents (x,y) --> (x, y+3) rule.
Positive 90 degree rotation represents, counterclockwise rotation.
The rule for counterclockwise rotation is (x,y) --> (-y,x).
Therefore, final rule for would be
(x,y) --> ( -y,x+3 )
Let us take a coordinate of R on y-axis as (0,-4).
Now if we apply rule (x,y) --> ( -y,x+3 ) we get
(0,-4) --> (-(-4), 0+3) = (4,3).
Let us check the figure with coordinate (4,3).
We can clearly see that Figure H has transformed coordinate (4,3).
<h3>Therefore,
correct option is first option A. figure H.</h3>
Answer:
a.
<u>Increasing:</u>
x < 0
x > 2
<u>Decreasing:</u>
0 < x < 2
b.
-1 < x < 2
x > 2
c.
x < -1
Step-by-step explanation:
a.
Function is increasing when it is going up as we go rightward
Function is decreasing when it is going down as we go rightward
We can see that as we move up (from negative infinity) until x = 0, the function is increasing. Also, as we go right from x = 2 towards positive infinity, the function is going up (increasing).
So,
<u>Increasing:</u>
x < 0
x > 2
The function is going down, or decreasing, at the in-between points of increasing, that is from 0 to 2, so that would be:
<u>Decreasing:</u>
0 < x < 2
b.
When we want where the function is greater than 0, we basically want the intervals at which the function is ABOVE the x-axis [ f(x) > 0 ].
Looking at the graph, it is
from -1 to 2 (x axis)
and 2 to positive infinity
We can write:
-1 < x < 2
x > 2
c.
Now we want when the function is less than 0, that is basically saying when the function is BELOW the x-axis.
This will be the other intervals than the ones we mentioned above in part (b).
Looking at the graph, we see that the graph is below the x-axis when it is less than -1, so we can write:
x < -1
Answer:
130,000 to 250,000
Step-by-step explanation:
Pt 1 - how much the value goes down each year
Pt 2 - how much the car was originally worth