The following answer is 10
If we know the concepts of transformations and <em>horizontal</em> translation and that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
<h3>How to determine the transformed function in terms of its parent function</h3>
The transformation of functions are operations which modify the relationship between input and outputs in a function. The <em>parent</em> function represents a <em>canonical square root</em> function and the <em>transformed</em> function is the consequence of applying a <em>horizontal</em> translation.
This kind of transformation is defined by the following expression:
g(x) = f(x - k) (1)
Where k represents a <em>rightward</em> translation for k > 0.
If we know that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
To learn more on transformations: brainly.com/question/11709244
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The original price is $70.00
The problem states that $59.50 is the discounted price, this means that it is not the 100% price of the aquarium. Since 15% is the discount, the remaining price is equivalent to 85% of the original price, which amount to $59.50.
100% - 15% = 85%
100% - 15% = $59.50
To get original price, we must divide the discounted price by its corresponding percentage.
$59.50 / 85% = original price
$59.50 / 0.85 = $70
To check, we must get the 15% equivalent amount from the original price.
$70 x 15% = $10.50 discount value
$70 - $10.50 = $59.50 discounted price
Answer:
corresponding angles- 4 and 8, 3 and 7, 1 and 5, 2 and 6
same side interior angles- 2 and 5, 3 and 8
alternate interior angles- 3 and 5, 2 and 8
alternate exterior angles- 1 and 7, 4 and 6
Step-by-step explanation: