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By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
<h3>How to determine the domain of a function with radical components</h3>
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all <em>real</em> numbers, whereas the domain of <em>radical</em> functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the <em>radical</em> component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
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Answer:
16
Step-by-step explanation:
solve for X.
16+4x=10+14
16+4x=24
4x=24-16
4x=8
x=2
8x=8(2)
8x=16
Answer:
∠G ≅ ∠Q
Step-by-step explanation:
<u>Given</u>
<u>Answer choices:</u>
- BI≅PQ - yes correct, corresponding
- ∠B ≅ ∠P - yes correct, corresponding
- ∠G ≅ ∠Q - no, incorrect, it should read ∠G ≅ ∠Z
- ZP ≅ GB - yes correct, corresponding
So, incorrect choice is the third one
Answer:
Step-by-step explanation:
Just like regular numbers, angles can be added to obtain a sum, perhaps for the purpose of determining the measure of an unknown angle. Sometimes we can determine a missing angle because we know that the sum must be a certain value. Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees.
The angles of this triangle are 50, 60, and 70 degrees.
If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. This is true for any triangle in the world of geometry. We can use this idea to find the measure of angle(s) where the degree measure is missing or not given.