Answer:
<em>True
</em>
Step-by-step explanation:
<em>Rate Of Change Of Functions
</em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)

Now, we use the second and the third point (2,4) (3,9)

This difference in values of the slope is enough to state the function is non-linear
Answer: True
Answer:
28y^3 -35y^5
Step-by-step explanation:
= 7y^3(4) -7y^3(5y^2)
= 28y^3 -35y^5
_____
The applicable rule of exponents is ...
(y^a)(y^b) = y^(a+b)
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Answer: 55x + 75 = 350; 5 hours
Step-by-step explanation:
What we know:
- A flat fee is $75
- John charges $55 an hour
- The total charge is $350
We need to write an equation to find how many hours John works.
<em>x </em>will represent hours worked.
55x + 75 = 350
We now need to solve for x.
Subtract 75 from both sides.
55x + 75 - 75 = 350 - 75
Simplify.
55x = 275
Divide 55 from both sides.
55x/55 = 275/55
Simplify.
x = 5
John worked 5 hours.
To check our work, we just plug in our x value!
55(5) + 75
275 + 75 = 350