The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

y -195 = 15(x -9)

The "one-time fee" is the cost when hours are zero.

y -195 = 15(0 -9)

y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

5 0

2 years ago

Please help thx a bunch

kirza4 [7]

A.
2/3A=-24
time both sides by 3/2
A=-72/2
A=-36

B.
20=-B/0.2
times both sides by 0.2
4=-B
times -1
-4=B

distance between 2 points x and y is |x-y|

so
distance between A and B is distance between -4 and -72 or
|-72-(-4)|=|-72+4|=|-68|=68
the distance is 68

4 0

3 years ago

Solve for x:<br> I need a answer with an explanation. Algebra 1

kirill115 [55]

Answer: x = -1

Step-by-step explanation:

You need to convert to the same base

$\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}$

$2^{-4} = 2^{-2x-6}$

For these values to be equal, the exponents have to be equal

-4 = -2x - 6

2 = -2x

x = -1

3 0

3 years ago