Answer:
Option d
Step-by-step explanation:
If the graph of the function
represents the transformations made to the graph of
then, by definition:
If
then the graph is compressed vertically by a factor c.
If
then the graph is stretched vertically by a factor c.
If
then the graph is reflected on the x axis.
If
the graph moves vertically upwards.
If
the graph moves vertically down
In this problem we have the function
and our parent function is 
therefore it is true that
and 
Therefore the graph of
is not stretched vertically and is not reflected. however as
then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>
The answer is <em>"vertical translation down 9 units"</em>
Answer:
The absolute value of a number means the distance from 0. -5 is 5 units away from 0. So the absolute value of that -5 is 5. You cannot have negative distance, so it has to be positive.
Step-by-step explanation:
Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is =
inches
As given, 4 inch squares are cut from each corner;
So, the width is =
inches
Length is =
inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So, 
=> 
=> 
=> 
or 
=> 
=> 
We get ,
; w = -8(neglect the negative value)
; w = 12 inches
And length =
inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation : 

=> 
=> 
To solve this question, you need to find how long jump is. For 2m high with <span>1.67 m/s2 it would be:
h= 1/2 gt^2
2= 1/2 * (1.67) t^2
t^2= 1.67
t= 1.29
If the speed is 20 mph and the jump is 2 second, the distance traveled would be:
20 miles/ hour * 1.29 second * (1 hour/3600second)= 0.007179 miles
If you need to convert it to meter then: </span>0.007179 mile * 1609.34meter/ mile= 11.55 meter
Answer:
1/4
Step-by-step explanation:
1/2 = 2/4
3/4-2/4=1/4