Answer: 134 miles
Step-by-step explanation:
f(m) = 16.95 + 0.92m
140.23 = 16.95 + 0.92m
0.92m = 140.23 - 16.95
0.92m = 123.28
m = 123.28/0.92
m = 134 miles
Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
![\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%20%26%20%7Bf%28x%29%7D%20%26%20-1%26-9%260%26-1%261%267%20%5C%20%5Cend%7Barray%7D)
![g(x) = 3x - 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20-%202)
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
![m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%28x_2%29%20-%20f%28x_1%29%7D%7Bx_2%20-%20x_1%7D)
This gives:
![m = \frac{f(0) - f(1)}{0 - 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%280%29%20-%20f%281%29%7D%7B0%20-%201%7D)
![m = \frac{f(0) - f(1)}{- 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%280%29%20-%20f%281%29%7D%7B-%201%7D)
Substitute values for f(0) and f(1)
![m = \frac{-1 - 7}{- 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%20-%207%7D%7B-%201%7D)
![m = \frac{-8}{- 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-8%7D%7B-%201%7D)
![m = 8](https://tex.z-dn.net/?f=m%20%3D%208)
The slope of g(x) can be gotten using the following comparison
![g(x) = mx + b](https://tex.z-dn.net/?f=g%28x%29%20%3D%20mx%20%2B%20b)
![m \to slope](https://tex.z-dn.net/?f=m%20%5Cto%20slope)
So:
![g(x) = 3x -2](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20-2)
![m = 3](https://tex.z-dn.net/?f=m%20%3D%203)
![m_{f(x)} > m_{g(x)}](https://tex.z-dn.net/?f=m_%7Bf%28x%29%7D%20%3E%20m_%7Bg%28x%29%7D)
Solving (b): Compare the y intercept
y intercept is when ![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
From the table of f(x)
![f(0) = -1](https://tex.z-dn.net/?f=f%280%29%20%3D%20-1)
From the equation of g(x)
![g(x) = 3x -2](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20-2)
![g(0) = 3*0-2](https://tex.z-dn.net/?f=g%280%29%20%3D%203%2A0-2)
![g(0) =-2](https://tex.z-dn.net/?f=g%280%29%20%3D-2)
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Answer:
<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>
The given shape is known as Trapezium or Trapezoid.
Area of trapezium = ½(Sum of parallel dides) × Height
Area = ½ (3 + 6) × 4
Area = (3 + 6) × 2
Area = 9 × 2
Area = 18 m²
![\\](https://tex.z-dn.net/?f=%20%5C%5C%20)
Answer:
We multiplied by a negative number (-8)
We divided by a negative number (-8)
Step-by-step explanation:
Multiplying or dividing both sides of an equation by a negative number changes the inequality of the equation, because it changes the sign of each side of the equation