Using translation concepts, the correct option is given as follows:
The graph of f(x) is shifted to the right to create g(x).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the functions are given as follows:
That is, g(x) = f(x - 31), hence the function was shifted <u>31 units to the right</u> and the correct option is given by:
The graph of f(x) is shifted to the right to create g(x).
More can be learned about translation concepts at brainly.com/question/4521517
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The answer must be - cospi/2 which is not available in the option
Answer:
80
Step-by-step explanation:
Your 4 given numbers equal 295. 5x75 is 375. So take 375-295 and you get 80, your 5th number.
Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
The answer to the question
