Maths functions question
2 answers:
Answer:
-4 < x < 3
Step-by-step explanation:
<u>Information from Parts 1-4 of the same question:</u>
- A = (3, 0)
<u>Information from Parts 5-8 of the same question:</u>
- D = (-4, 7)
The values of x for which g(x) < f(x) are the values of x between the points of intersection of the two functions: points D and A.
From part (2) of the question, we found that A = (3, 0).
From part (5) of the question, we found that D = (-4, 7).
Therefore, the values of x for which g(x) < f(x) are -4 < x < 3.
In interval notation this is: (-4, 3).
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The point with the greatest distance to the origin is given by:
B. (-3, 3).
<h3>What is the distance between two points?</h3>Suppose that we have two points, and
. The distance between them is given by:
The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:
D = sqrt(x² + y²).
Hence the distances for each point given in the problem are:
- A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
- B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
- C. Distance = sqrt((4)² + 0²) = sqrt(16).
- D. Distance = sqrt((2)² + 3²) = sqrt(13).
Hence option B has the greatest distance.
More can be learned about the distance between two points at brainly.com/question/18345417
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Answer:
Step-by-step explanation:
Given labeled tiles: B, C, D, E, F, G, H
Total number of tiles = 7
Vowels = A, E, I, O and U
⇒ Total number of vowel tiles in bag = 1