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:
The bag contains fewer than 10 carrots.
Catherine biked farther than 10 miles.
The chair is shorter than 20 inches.
Carlos scored over 20 points.
Hope that helps you sorry if it doesn't.
Complete question :
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3
Step-by-step explanation:
Given the following :
Width of number line = - 10 to + 10
Point K on the number line = +3 ( kelvin's score after the first round of quiz).
If Kelvin losses 9 points in round 2 = - 9
Hence at the end of round 2, He'll have a total of :
Point at the end of round 1 + point lost in round 2
3 + (-9) = - 6
(3/16, -169/16). Creo que es correcto, tengas buenas noches
Answer:
24
Step-by-step explanation:
Given the following :
Dimension of fabric = 48 by 168
What is the length of the largest square pieces into which shelly and mickelle can cut the fabric?
To obtain this, find the greatest common factor of both numbers in the dimension:
Using the table format:
___ _48 ____168
_ 2__24 ____ 84
_2__12 _____42
_2__6 _____ 21
_3__3______ 7
Since there is no number which can divide both anymore
The greatest common factor = (2 * 2 * 2 * 3) = 24
