Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

Recall that this is equivalent to:

Hence, find g(-1):

Substitute:

Find f(1):

In conclusion:

Answer <u>(assuming it is allowed to be in point-slope format)</u>:

Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation,
. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be
.
2) Now, use the point-slope formula,
to write the new equation with the given information. Substitute
,
, and
for real values.
The
represents the slope, so substitute
in its place. The
and
represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for
and 4 for
. This gives the following equation and answer:

Answer:

Step-by-step explanation:
Let

Full time rates-$275, Part-time rates-$140
The problem can be expressed as:

Express eqtn1 in terms of f,
Substitute f value in eqtn 2.

Therefore, jeds has 17 fulltime and 9 parttime employees.
The first factor simplifies to 1 and the second factor simplifies to 191, which are very easy to evaluate. Hence,
96^2 - 95^2 = (96-95)(96+95)
= (1)(191)
= 191
the answer is 191 :)
Answer:
Tran's hamster is faster as it took his hamster 19 seconds which is 4 seconds faster than Maria's hamster. I know this because the data shows Maria's hamster took 19 second and Tran's took 15 seconds to run through the maze hence Maria's hamster was slower and Tran's won. You can use the calculation 19-15=4 so the difference is 4.