Given:
Standard form and expanded notation
Find-:
The number shown in standard form and expanded notation
Explanation-:
The standard form is
Standard form = The standard form is

For example, is

The expanded form is
The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.
For example
Answer:
For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00
Step-by-step explanation:
Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00
Answer:
Move the top left and right to the sides of the second to last row, then move the single circle from the bottom row to the top.
Step-by-step explanation:
Answer:
(x - 4)² + (y + 6)² = 5²
Step-by-step explanation:
rearrange the general equation as follows
collect the terms in x and y together and place the constant on the right side
x² - 8x + y² + 12y = - 27
add (half the coefficient of the x/y term)² to both sides
x² + 2(- 4)x + y² + 2(6)y = - 27
(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36
(x - 4)² + (y + 6)² = 25
(x - 4)² + (y + 6)² = 5² ← in standard form
See in the explanation
<h2>Explanation:</h2>
<h3>1. Are exponential function one to one. How can you tell?</h3>
- A function
is one-to-one if each value of
corresponds to exactly one value of
.
To demonstrate this, we take the Horizontal Line Test that states:
<em>A function
has an inverse function if and only if there is no any horizontal line that intersects the graph of
at more than one point.</em>
As you can see in the first figure, the horizontal line
(the green one) intersects the graph of the exponential function
(the red one) in just one point. If you take every horizontal line
with
any real number, you will find that every line intersects the exponential function in just one point. Therefore, this function is one-to-one
<h3>2. What does this tell you about their inverses?</h3>
Another important thing is that:
- A function has an inverse function if and only if is one-to-one.
As we have demonstrated that exponential functions are one-to-one by Horizontal Line Test, then we conclude exponential functions have inverse functions. The domain of the inverse function is the range of the original one and the range of the inverse function is the domain of the original one. The inverse of
is
whose graph is the second figure below.
<h2>Learn more:
</h2>
How to find the inverse of a function? brainly.com/question/9980183
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