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k0ka [10]
3 years ago
15

Suppose an amount increases by 100%, then decreases by 100%. Find the final amount. Would the situation change if the original i

ncrease was 150%? Explain.
Mathematics
1 answer:
Anarel [89]3 years ago
6 0
Well to solve this, lets plug in some numbers. Lets assume that for now, the starting number is 2. If it increases by 100%, bringing it up to 4, then decreases 100%, it is brought down to zero. Now one thing to note is that any number decrease by 100% is automatically zero. Watch, we start with two, it is then increased by 150%, bringing it up to 5, then decreased by 100%, bringing it back down to zero. In conclusion, 100% cannot be specified as a value, but rather a relation. 100% represents the entire number, meaning that if you are decreasing a number by 100%, you are basically subtracting the number by itself!
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Consider the functions f(x) = 3x2, g(x)=1/3x , and h(x) = 3x. Which statements accurately compare the domain and range of the fu
Genrish500 [490]

Answer:

all of the functions have a unique range ⇒ answer 1

Step-by-step explanation:

* Lets revise how to find the domain and the range of the function

- The domain is all values of x that make the function defined

- The range is the set of all output values of a function

∵ f(x) = 3x²

- It is a quadratic function

- There is no values of x make this function undefined

∴ The domain of f(x) is all real numbers

- To find the range calculate the vertex of the function

∵ f(x) = ax² + bx + c

∵ f(x) = 3x²

∴ a = 3 , b = 0 , c = 0

∵ h = -b/2a

∴ h = 0/2(3) = 0/6 = 0

∵ k = f(h)

∴ k = f(0) = 3(0)² = 0

∴ The vertex of the cure is (0 , 0)

∵ k is the minimum value of the parabola

∴ The range of f(x) is all real numbers greater than or equal

  to zero ⇒ (1)

∵ g(x) = 1/3x

- It is a rational function

- to find the values of x which make the function undefined equate

 the denominator by 0

∵ 3x = 0 ⇒ divide both sides by 0

∴ x = 0

∴ The domain of g(x) is all real numbers except zero

∵ We can not put x = 0, then there is no value of g(x) at x = 0

∴ The range of the g(x) is all real number except zero ⇒ (2)

∵ h(x) = 3x

- It is a linear function

∵ There is no values of x make this function undefined

∴ The domain of h(x) is all real numbers

∴ The range of h(x) is all real numbers ⇒ (3)

* From (1) , (2) , (3) the answer is

 all of the functions have a unique range

# Look to the attached graph to more understand

The red graph is f(x)

The blue graph is g(x)

The green graph is h(x)

8 0
3 years ago
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2 Examine the graph shown below. 1 2 1 3 2 Enter the slope of the line.​
exis [7]

Answer:

4/5 or 0.8

Step-by-step explanation:

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3 years ago
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Samia created the following tables of values for a linear system. She concluded that there is no
DaniilM [7]

Answer:

Step-by-step explanation:

3 0
3 years ago
On the middle school baseball team, 8 players are sixth graders. Of the players, 40% are sixth graders. How many
Alexandra [31]
<h2>Answer:  Step-by-step explanation: 40 multiply by 8=320 divided by 100=3.</h2>
3 0
3 years ago
What is happening to this graph when the x-values are between 4 and 8?
Vilka [71]

Answer:

The correct answer is A. It is constant.

Step-by-step explanation:

When the x-values are between 4 and 8, this graph is constant.  This can be seen because the graph is a horizontal line, meaning it has zero slope.  Since the slope is zero, it is neither increasing nor decreasing, and is known as constant.

Hope this helps!

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