Step-by-step explanation:
When the slope of the function is positive, it is increasing
when the slope of the function is negative, it is decreasing
just like with the line function y = mx + b
so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function
also beware where the slope is zero it is not increasing or decreasing
there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing
increasing interval 1) x < -2 2) x > 1.5
decreasing interval 1) -2 < x < 1.5
at -2 and 1.5 the slope is zero
Answer:
x = 3.2 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 2.4² = 4²
x² + 5.76 = 16 ( subtract 5.76 from both sides )
x² = 10.24 ( take the square root of both sides )
x =
= 3.2
Answer:
40 miles , 1 hour 30 mins
Step-by-step explanation:
(a)
His visit to Nicola is indicted by the horizontal part of the graph.
Using the vertical ( distance ) axis , this shows 40 miles
(b)
Using the horizontal ( time ) axis
The left side of the horizontal red line shows 10.00
The right side shows 11.30
Then 11.30 - 10.00 = 1 hour 30 minutes
Answer:
A.I dont know but I think its 26 B. 64 inches if you add 38 and 26 you will get 64
Step-by-step explanation:
because 38 inches - 12 inches = 26 inches
I hope this helped!
Answer:
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![f(15) = 62826](https://tex.z-dn.net/?f=f%2815%29%20%3D%2062826)
Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
![a = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
![a = \frac{70768 - 39000}{20 - 0}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B70768%20-%2039000%7D%7B20%20-%200%7D)
![a = \frac{31768}{20}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B31768%7D%7B20%7D)
![a = 1588.4](https://tex.z-dn.net/?f=a%20%3D%201588.4)
Next, is to determine the formula using:
![y - y_1 = a(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20a%28x%20-%20x_1%29)
<em>Considering :When x = 0; y = 39000, we have</em>
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<em />
<em />
<em />
<em>Make y the subject of formula</em>
<em />
<em />
<em />
<em>Express y as a function of x</em>
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes
![f(15) = 1588.4 * 15 + 39000](https://tex.z-dn.net/?f=f%2815%29%20%3D%201588.4%20%2A%2015%20%2B%2039000)
![f(15) = 62826](https://tex.z-dn.net/?f=f%2815%29%20%3D%2062826)