Sharon If f(4)=0 and f(6)=6, which of the following could represent f (x)? A. 2/3x4 B. x+2 C. x4 D. 3/2x+6 E. 3x12 these are problems to study for a test so I need to know the answer and how it was solved! I have one more question If 180^{o} < theta < 270^{o} and tan theta = 4/3, then sin theta =? A. 5/4 B. 4/5 C. 3/5 D. 12/5 E. 3/5 Please help as fast as you can. This is my first time using this program and I am using it as a last resort that is why I need the answers so soon!!!!!
Thanks For your first problem there are two conditions that need to be satisfied, f(4) = 0 and f(6) = 6. I would start by trying the first condition on each of the five options.
Thus only options C and E satisfy the first condition. Now see if either of C or E satisfies the second condition, f(6) = 6.
Thus only option E satisfies both conditions. Hence f(x) = 3x  12. For your second problem since the tangent of theta is 4/3 I would draw he diagram below. I used the theorem of Pythagoras to find the third side of the triangle. From the diagram the sine of the angle t is 4/5. But theta is in the third quadrant where the sine is negative and thus the sine of theta is 4/5. Cheers,Harley
