Answer:
12.6
Step-by-step explanation:
Given the function, F(x)=20/4+3e−0.2x
Where e is an exponential function,
To get f(3), we need to substitute x = 3 into the given function
F(3) = 20/4 + 3e - 0.2(3)
f(3) = 5 + 3e - 0.6
f(3) = 4.4+3e
Substituting the value of e = 2.718
f(3) = 4.4+3(2.718)
f(3) = 12.554
f(3) = 12.6 to the nearest tenth.
Hello there!
Using the given exponential function of y = 64(0.97)^x, we can tell that it is a decaying exponential function since the rate is less than 1.
The percent of decrease is 3% since 97% of the value is retained per x time.
answer:
2.5 or 2 1/2
work:
4(joshuas friends)+1(joshua)=5
5×1/2=5/2
5/2= 2.5
23
%
=
23
100
=
0.23
First we have to think that the symbol
%
=
1
100
so that
23
%
=
23
⋅
(
1
100
)
this is read twenty three percent is equal to twenty three multiplied by one divided by one hundred.
the result is the fraction
23
100
Now, to convert to decimal, simply divide 23 by 100
23
÷
10
=
2.3
and
2.3
÷
10
=
0.23
this is the same as
23
÷
100
=
0.23
Answer: Option C
Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:
If 
then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have
We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is
