Which expression is equivalent to (4 + 7¡)(3 + 4¡)?
1 answer:
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Answer:
Step-by-step explanation:
<u>Definitions</u>
Integer: A whole number that can be positive, negative, or zero.
Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).
Irrational Number: A real number that <u>cannot</u> be written as a rational number.
Therefore, -8.2183 can be expressed as a <u>rational number</u>.
π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.
is an irrational number.
As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.
<u>Conclusion</u>
Therefore, the numbers that are irrational are:
<h2>Answer:</h2>
To solve this problem, we need to start with the parent function of the exponential function, which is , where
is the base. In our problem,
, so our parent function here is
. Then, we need to perform some transformations to our parent function. Thus:
1. Vertical shrink:
A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:
where in this problem equals 0.25 because:
2. Vertical shift:
The graph of the function get a vertical shift given by:
So the graph is shifted 3 units up. So the result is the graph shown above.