zstarr

12.12.2020 • 

Mathematics

Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. 1
5
7
9
7
11
15 19
Which of the following statements about fix) and g(x) is true? Select all that apply.
The y-intercept of Rx) is smaller than the y-intercept of g(x).
The values of fx) and g(x) are the same at x = 3.
The slope of fox) is smaller than the slope of g(x).
The line represented by fox) crosses the x-axis to the right of the line represented by g(x).
The lines represented by fix) and g(x) are parallel

Ответ:

lucindabarba2017

28.08.2022

Mathematics

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4√2/7

Step-by-step explanation:

Suppose cos(x)=-1/3, where pi/2≤x≤ pi

tan(2x) = sin(2x)/cos(2x)

Since sin2x = 2sinx cosx

cos 2x = 2cos²x-1

Substitute

tan(2x) = 2sinx cosx/ 2cos²x-1

Given cosx = -1/3

adjacent = -1

hyp = 3

opp = √3²-(-1)²

opp = √9-1

opp = √8

sinx = opp/hyp

sinx = √8/3

tan(2x) = 2sinx cosx/ 2cos²x-1

tan(2x) = 2(√8/3)(-1/3)/ 2(-1/3)²-1

tan2x= (-2√8/9 )÷ (2/9 - 1)

tan2x = -4√2/9 * 9/-7

tan 2x = 4√2/7

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