Answer:
The correct options are:
Option B)
is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.

When we substitute x=0 in above function we get:


When we substitute x=-1 in above function we get:


When we substitute x=1 in above function we get:


The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A)
is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B)
is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E)
is zero when x=0
When x=0 the value of
is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
(a) 
(b) 
(c) 
Solution:
To write each of the given expression in the form
:
(a) 
Using exponential rule: 


(b) 
Divide numerator and denominator by the common factor 2, we get

Using exponential rule: 


(c) 
Divide numerator and denominator by the common factor 7, we get

Using exponential rule: 


The answer is c because if you add 2 sides and the two sides are greater than the third than the triangle is possible
Hey there!
The answer is $50 because $20 is 40%, so times that by 2 which you get $20 and 80%. Then you divide 20 by 2 then you get 10 which is 20% so you add 10 and you get $50 which is 100%
Answer:
24
Step-by-step explanation:
you would have to do 12 x 1.5 to get 18 then so 16 x 1.5 to get 24