Answer:
Percent increase = 25%
Step-by-step explanation:
Given that:
Old price of shoes = $65
New price of shoes = $81
Difference = 81 - 65
Difference = 16
Percent increase =
Percent increase =
Percent increase = 0.246 * 100
Percent increase = 24.6%
Rounding off to nearest whole number
Increase = 25%
Hence,
Percent increase = 25%
Use the sum of cubes factoring rule
to transform the left hand side into the right hand side.
Throughout the entire process, the right hand side stayed the same.
On the last step, I used the pythagorean identity.
Given:
A student says that the graph of the equation is the same as the graph of
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
Equation of after transformation is
Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
Therefore, the graph of translated left by 8 units. Hence, the student is wrong.