Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
Please explain more your question
Answer:
if you are solving for z it is:
Step-by-step explanation:
z=0,-2,1
Answer:
840
Step-by-step explanation:
Last year, 800 students attended the career fair at West High School.
And, this year the number of students who attended the career fair increased by 5%.
We are asked how many students attended the career fair at West High School this year.
Therefore, the number of students attended the career fair at West High School will be ![800[1+\frac{5}{100} ] =800 \times 1.05 = 840](https://tex.z-dn.net/?f=800%5B1%2B%5Cfrac%7B5%7D%7B100%7D%20%5D%20%20%3D800%20%5Ctimes%201.05%20%3D%20840)
. (Answer)
Answer:
C
Step-by-step explanation:
