The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.
<h3>How to illustrate the function?</h3>
The function is given as:
f(x) = ax³ - x² + bx - 24.
Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.
This will be solved by elimination method and the values of a and b will be -2 and 22.
Therefore, f(x) = -2x³ - x² + 22x - 24
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Answer
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Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
<h3>What is angle measurement?</h3>
An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
Given data;
sin(1/2) = π/6
The value of the trignometric function are;
cos(π/6) = (√3)/2
tan(π/6) = 1/√3 = (√3)/3
In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.
θ = 5π/6
cos(5π/6) = -(√3)/2
tan(5π/6) = -(√3)/3
Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
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Answer:
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