Answer:
84 inches.
Step-by-step explanation:
Just take 12 and multiply it by 7. You get 84 inches as your final answer.
The first step for solving this expression is to move the variable -3m to the left side and then change its sign.
4 - 2m + 3m > 7
Now move the constant to the right side and change its sign.
-2m + 3m > 7 - 4
Collect the terms on the left side.
m > 7 - 4
Lastly,, subtract the numbers on the right side to get your final answer.
m > 3
Let me know if you have any further questions.
:)
Solution: $50
Step by step: you can set up the equation that 120%x=60, but for it to be easier you can just change 120% to 1.2 (one whole and 2 tenths or 120) to get the equation 1.2x=60, then to find x just do the algebra
1.2x=60
x=60/1.2
x=50
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
