What is the mean of this data set? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 0 13.50 O 14.00 O 14.75 O 15.75
ra1l [238]
The numbers seem to be going up and down but definitely not by a pattern
Answer:
Choose the figure with side lengths 0.5, 1, 2 and 2.5
Step-by-step explanation:
Similar figures are figures which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. They are related by a scale factor. To find the new side lengths of the figure multiply the original side lengths by 1/2.
The sides are 1, 2, 4, and 5.
They become:
1*1/2 = 0.5
2*1/2 = 1
4*1/2 = 2
5*1/2 = 2.5
Choose the figure with these distances.
Answer:
240 Minutes
Step-by-step explanation:
0.6 per minute × 2 = 1.2 gallons .
120 balloons × 2 mins= 240 mins
The first one [f(x) = 6x + 9] because “f(x) is y” and all you do is rearrange the equation
Answer:
The inverse function f^-1 (x) = (1/5) x
Step-by-step explanation:
* Lets explain what is the meaning of f^-1(x)
- f^-1 (x) the inverse function of f(x)
* How to find the inverse function
- In the function f(x) = ax + b, where a and b are constant
- Lets switch x and y
∵ y = ax + b
∴ x = ay + b
* Now lets solve to find y in terms of x
∵ x = ay + b ⇒ subtract b from the both sides
∴ x - b = ay ⇒ divide the two sides by a
∴ (x - b)/a = y
∴ The inverse function f^-1 (x) = (x - b)/a
* Lets do that with our problem
∵ f(x) = 5x ⇒ y = 5x
∴ x = 5y
- Find y in terms of x
∵ x = 5y ⇒ divide the both sides by 5
∴ x/5 = y
∴ f^-1 (x) = (1/5) x
* The inverse function f^-1 (x) = (1/5) x
