Answer:
The constant of proportionality is 7
Step-by-step explanation:
The equation for a direct relation is
y = kx where k is the constant of proportionality
y = 7x where k=7
Answer:
Step-by-step explanation:
Let the number of minutes in 6.1 hours be x. Remember that there are 60 minutes in one hour. Therefore,
If 60 minutes = 1 hour,
Then
x minutes = 6.1 hours
Cross multiplying, it becomes
x × 1 = 6.1 × 60 minutes
x = 6.1 × 60 minutes/1
Therefore, the correct ratio with which 6.1 hours would be multiplied is
60 minutes/1 hour
Answer: its x = 3
Step-by-step explanation:
The maximum or minimum of a quadratic function occurs at
x
=
−
b
2
a
. If
a
is negative, the maximum value of the function is
f
(
−
b
2
a
)
. If
a
is positive, the minimum value of the function is
f
(
−
b
2
a
)
.
f
min
x
=
a
x
2
+
b
x
+
c
occurs at
x
=
−
b
2
a
Find the value of
x
equal to
−
b
2
a
.
x
=
−
b
2
a
Substitute in the values of
a
and
b
.
x
=
−
−
12
2
(
2
)
Remove parentheses.
x
=
−
−
12
2
(
2
)
Simplify
−
−
12
2
(
2
)
.
Tap for more steps...
x
=
3
The maximum or minimum of a quadratic function occurs at
x
=
−
b
2
a
. If
a
is negative, the maximum value of the function is
f
(
−
b
2
a
)
. If
a
is positive, the minimum value of the function is
f
(
−
b
2
a
)
.
f
min
x
=
a
x
2
+
b
x
+
c
occurs at
x
=
−
b
2
a
Find the value of
x
equal to
−
b
2
a
.
x
=
−
b
2
a
Substitute in the values of
a
and
b
.
x
=
−
−
12
2
(
2
)
Remove parentheses.
x
=
−
−
12
2
(
2
)
Simplify
−
−
12
2
(
2
)
.
Tap for more steps...
x
=
3
Answer:
v=18
Step-by-step explanation:
10-3v-1=5(9-v)
first open the bracket
10-3v-1=45-5v
5v-3v=45-9
2v=36
v=18