Answer:
Step-by-step explanation:
Given: expressions
To find: expression that denotes a rational number
Solution:
A number of the form 
where p and q are integers and 
is said to be a rational number.
Sum of a rational and irrational number is irrational.
In 
, 
is a rational number and 
is an irrational number
So, is not a rational number.
In 
, 
is an irrational number and 4 is a rational number
So, 
is not a rational number.
In 
, 
is a rational number
So, is a rational number
In 
, 
is a rational number and 
is an irrational number
So, is not a rational number.
Given:
Price of a new car = 25000
Depreciation rate = 8.25% = 0.0825
Time = 15 years.
To find:
The value of the car after 15 years.
Solution:
The exponential decay model is
Where, a is the initial value, r is the rate of decay and t is number of years.
Putting a=25000, r=0.0825 and t=15 in the above formula.
Therefore, the value of the car after 15 years will be 6871.175.
The axis of symmetry is 1.
To find this, do -b/2a, putting -8 in the place of b and -4 in the place of a. Proceed to solve to get 1.
The equation provided is vertex form, so to find the needed components, you need to solve for the vertex. To do so, implement 1 in as x and solve for the vertex.
The vertex is 1, -16.
(y - 16) = -4(x - 1)^2
Although it is not exactly vertex form, the only difference is that instead of it being +k at the end, it is subtracted with the y.
Hope this helps!
Angle 1=1/2(108-34)
Angle 1=1/2 74
Angle 1=37
