9514 1404 393
Answer:
Step-by-step explanation:
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)
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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.
Answer:
B. Rational functions
Step-by-step explanation:
The partial fraction decomposition is used for functions there are described by fractions, and for which the substitution method is not possible. These are rational functions, in which both the numerator and the denominator are polynomials.
So the correct answer is:
B. Rational functions
Answer:
6 units
Step-by-step explanation:
The formula for the area of a rectangle = Length × Width
A rectangle’s width is one-fourth of its length.
W = 1/4 × L
W = L/4
Cross Multiply
L = 4W
A = 9 square units
Hence
9 = L × W
We substitute 4W for L
9 = 4W × W
9 = 4W²
We square root both side
√9 = √4W²
3 = 2W
W = 3/2
W = 1 1/2 unit or 1.5 units
Solving for L = Length
9 = L × W
9 = L × 1.5
L = 9/1.5
L = 6 units
Therefore, the Length of the rectangle = 6 units
Answer:
109°
Step-by-step explanation:
x+48+23=180
x=180-71
<h3>x=109°</h3>
Answer:
it would be c
Step-by-step explanation:
Beacause 3x2 equal 6 you do not multiply the dinominator