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: 60 adults and 60 students
Step-by-step explanation:
Using the line of the best fit, the predicted student's score in English test is 48
<h3>How to determine the student's score in English?</h3>
From the question, we have:
Mathematics score = 60
The scores in English tests are plotted on the y-axis.
On the given graph, we have:
(x,y) = (60,48)
This means that when x = 60, the value of y is 48
This in other words means that the student's score in English test is 48
Read more about line of best fit at:
brainly.com/question/17261411
#SPJ1
Answer:
the correct anwser is b b cause they both are positive y intercepts
Answer: 49 in^2
Step-by-step explanation:
Trapezoid area formula = (a+b/2) x h
So...
(5+9/2) x 7
= 49 in^2
