Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:
Then:
1) You must substitute into the expresion 
:
Now, you must evaluate:
2) You have to substitute the given value of "x" into the second expression:
Finally, evaluating, you get the following result:
3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting into the expression 
and then evaluating, you get:
4) By definition:
Then, substituting into 
and evaluating, you get:
5) Since:
When you substitute the given value of "x" into the last expression and then you evaluate, you get:
Answer:
.5
Step-by-step explanation:
The slope is what you multiply x by in a linear equation
Theres not really enough information to work from here. Is there anymore to this problem???
How many 1 3/4 inches are there in 35 inches?
Or in math talk:
35" ÷ 1 3/4
The answer is that 20 books will fit on the shelf.
I used a calculator and used 1.75 instead of 1 3/4
