Scenario: A kid initially has 7.6 dollars and is given 0.2 dollars every weekend. The slope here is the 0.2. This is the value or increment in which the money is increasing. The y-intercept is the value we obtain from the equation when we set x to zero. Similarly speaking, this is the original value which is 7.6.
Answer:
Step-by-step explanation:
Point-slope form: when the given point is and the slope is
Plug in the point (-10,4)
Two negatives make a positive
Plug in the slope
I hope this helps!
<h2>
Part 1.</h2>
Answer:
The limit of the difference quotient is simply the derivative, so we can express this as follows:
So our function is:
Taking the derivative, we have:
So the correct option is:
<h2>Part 2.</h2>
Answer:
The equation of the line that passes through the same point can be found as:
Where , so we need to find . Plug in that x-value in the function we have:
And the slope is:
Then, the equation of the line is:
<h2 /><h2>Part 3.</h2>
Answer: Shown below
As you can see below, the graph of the function of is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point , so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of
<h3>
Answer:</h3>
A. 28
<h3>
Step-by-step explanation:</h3>
We assume m is the measure of the marked unknown angles: ∠BZY ≅ ∠BZA
(5x +3)° = (2x +18)°
Divide by ° and subtract 2x+3:
... 3x = 15
... x = 5
Then ∠BZA = (2·5 +18)° = m = 28°