Which of the following graphs best represents f(x) = −2 sin(4x) + 3? (1 point) graph of a trigonometric function with points at 0, 3 and pi over 8, 5, and pi over 4, 3 and pi over 2, 3
graph of a trigonometric function with points at 0, 3, and pi over 8, 1, and pi over 4, 3 and pi over 2, 3
graph of a trigonometric function with points at 0, 5 and pi over 4, negative 1 and pi over 2, 5
graph of a trigonometric function with points at 0, negative 1 and pi over 4, 5 and pi over 2, negative 1

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

ιт ιѕ вє¢αυѕє:

6: 4= 3/2

18: 8= 9/4

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