If you would like to solve -6 > -30 - 4x for x, you can do this using the following steps:
-6 > -30 - 4x
4x > -30 + 6
4x > -24 /4
x > -24/4
x > -6
The correct result would be x > -6.
Answer:
= 3f + 8
Step-by-step explanation:
Given that:
= 2/3[3f+12]+f
By simplifying:
2/3 will be multiplied inside the bracket as follows:
= 2/3*3f + 2/3*12 + f
By cancelling the terms with each other we get:
= 2f + 24/3 + f
By simplifying the fraction we get:
= 2f + 8 + f
Adding like terms
= 3f + 8
This is the simplified expression.
i hope it will help you!
Answer:
Approximately
7.5
hours
Step-by-step explanation:
Explanation:
We are trying to determine the value of
h
in the compound growth formula
XXX
20
×
(
1
+
0.85
)
h
=
2000
or, simplified:
XXX
1.85
h
=
100
Taking the
log
1.85
of both sides:
XXX
log
1.85
100
With the aid of my trusty spreadsheet:
XXX
h
≈
7.48582192
Answer:
A. 
Step-by-step explanation:
Let 
be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is 
Hence,
is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:
Therefore, the equation of the line is
Answer:
A. 2/3
Opposite Sides of a Parallelogram
The two pairs of sides in a parallelogram are parallel to each other.
Parallel lines have the same slope.
The slope of the opposite sides of a parallelogram are congruent (equal in measure).
Given:
Slope of PQ = 2/3
Slope of QR = -1/2
For PQRS to be a parallelogram, the slope of SR must be same as the slope of PQ.
This implies that: Slope of SR = Slope of PQ = 2/3.
Therefore, based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.
