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
Answer:
Siti's money = RM 430
David = RM 1,290
Farid = RM 280
Step-by-step explanation:
Let
Siti's money = x
David = 3x
Farid = x - 150
Total of their money = RM 2 000
x + 3x + (x - 150) = 2000
4x + x - 150 = 2000
5x = 2000 + 150
5x = 2,150
x = 2,150/5
x = RM 430
Siti's money = x
= RM 430
David = 3x
= 3(430)
= RM 1,290
Farid = x - 150
= 430 - 150
= RM 280
The answer is C.
Hope this helps
Answer:
A customer inside a store slips in a pool of water and injures his back.
Step-by-step explanation:
<span>F(x) = (1/4)^x
</span><span>F(3) = (1/4)^3 = 1/64
</span><span>B. 1/64</span>
