F(8)= 8^0+8^2/3+8^-2/3
= 1+cube√(8)^2 + cube√(8)^-2
= (1+4)/4
=5/4
The expressions which represents the slope of a tangent to the curve 
at any point (x, y) are:
<h3>The slope of a tangent to the curve.</h3>
Mathematically, the slope of a tangent line to the curve is given by this equation:
Given the function:
When (x + h), we have:
Next, we would find the derivative of f(x):
Read more on slope of a tangent here: brainly.com/question/26015157
#SPJ1
Answer:
(1, 35) means that $35 is the cost per hour of hiring a face painter.
Step-by-step explanation:
Notice that this is a linear function that goes through the origin and also through the point (5, 175) which according to the data plotted in both axis, means that for 5 hours of service, the cost is $175.
One can calculate the slope of this line as that of the segment that joins (0, 0) with (5, 175) as:
slope = (175 - 0) / (5 - 0) = 175 / 5 = 35 / 1
Notice as well that such slope reads the amount of dollars to hire a face painter for ONE hour (so it is the rate per hour for hiring a face painter).
So the point (1 , y) should be completed as: (1, 35) and means "the rate per hour for hiring a face painter."
