Answer:
−
7
<
x
−
1
<
8
=
6
=
0
−
6
>
x
>
9
=
−
6
>
x
>
9
6
>
x
>
−
9
=
−
6
>
x
>
9
O
−
6
=
−
6
>
x
>
9
Step-by-step explanation:
Step-by-step explanation:
What is the equation of the parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
?
To solve this you need to use the vertex form of the equation of a parabola which is
y
=
a
(
x
−
h
)
2
+
k
, where
(
h
,
k
)
are the coordinates of the vertex.
Explanation:
The first step is to define your variables
h
=
−
4
k
=
2
And we know one set of points on the graph, so
x
=
−
7
y
=
−
34
Next solve the formula for
a
y
=
a
(
x
−
h
)
2
+
k
−
34
=
a
(
−
7
+
4
)
2
+
2
−
34
=
a
(
−
3
)
2
+
2
−
34
=
9
a
+
2
−
36
=
9
a
−
4
=
a
To create a general formula for the parabola you would put in the values for
a
,
h
, and
k
and then simplify.
y
=
a
(
x
−
h
)
2
+
k
y
=
−
4
(
x
+
4
)
2
+
2
y
=
−
4
(
x
2
+
8
x
+
16
)
+
2
y
=
−
4
x
2
−
32
x
−
64
+
2
So the equation of a parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
is:
y
=
−
4
x
2
−
32
x
−
62
Answer:
2 radical 14
Step-by-step
square root of 7(7-3)(7-5)(7-6)
which is the square root of 56
which is about 7.5 or 2 radical 14
3.5 is 7 divided by 2.
3.5=7/2
--------------------------------
3.5 is also 3 and a half,
3.5=3+1/2
We are looking for the calories per minute....calories/minute.....
(4 1/2) / (2/3) =
(9/2) / (2/3) =
9/2 * 3/2 =
27/4 =
6 3/4 (or 6.75) calories per minute <==
