Answer:
four, 12 will be left
Step-by-step explanation:
120/27 equals 4; the remainder (“left over”) is 12
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
You change the whole number (3) into 2 4/4 (you can do this yes) and then subtract the whole number by the whole number, and the fraction by the fraction and everything.... (tell me if your confused)
Answer:
The equation is:
f(x) = Ix + 3I - 2
Step-by-step explanation:
For a function like:
f(x) = Ix - kI + c
k is the x-value where the vertex is, and c is the y-value where the vertex is.
In the graph we can see that the vertex is in the point (-3, -2)
then:
x-value = -3 = k
y-value = -2 = c
Replacing those in the equation for the function:
f(x) = Ix - (-3)I - 2
f(x) = Ix + 3I - 2
Step-by-step explanation:
the gradient of the line = 2 units/ 3 units = 2/3
