Simplify the trigonometric expression by following the indicated direction.Factor and simplify: 
What will be an ideal response?
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Solve the problem. Write all linear equations in slope-intercept form.A driver wants to gauge the fuel efficiency of her vehicle at speeds of 30 mph and above. She notices that traveling at an average speed of 45 mph results in a rating of 39 mpg, whereas at an average speed of 50 mph, her car rates 29 mpg. Find a linear equation to model the gas mileage y for an average speed of x mph. Find the slope-intercept form of the equation of the line.
A. y = - 2x + 129
B. y = 
x + 51
C. y = - 2x + 51
D. y = 
x + 129
Find the center (h, k) and radius r of the circle. Graph the circle.x2 + y2 - 4x - 6y + 9 = 0 
A. (h, k) = (-2, -3); r = 2
B. (h, k) = (-2, 3); r = 2
C. (h, k) = (2, -3); r = 2
D. (h, k) = (2, 3); r = 2
Find the indicated sum. If necessary, round to four decimal places.S19 for the geometric sequence $900.00, $918.00, $936.36, . . .
A. $22.84 B. $19,271.08 C. $20,556.50 D. $403.07
State the dual problem. Use y1, y2, y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0, y3 ? 0, and y4
Minimize w = 6x1 + 2x2 + 3x3 + 2x4subject to: 4x1 + 5x2 + 4x3 + 3x4 ? 45 4x1 + 6x2 + 5x3 + 11x4 ? 55 x1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A.
| Maximize | z = -45y1 - 55y2 |
5y1 + 6y2 ? 2
4y1 + 5y2 ? 3
3y1 + 11y2 ? 2
B.
| Maximize | z = 45y1 + 55y2 |
5y1 + 6y2 ? 2
4y1 + 5y2 ? 3
3y1 + 11y2 ? 2
C.
| Maximize | z = 45y1 + 55y2 |
5y1 + 6y2 ? 2
4y1 + 5y2 ? 3
3y1 + 11y2 ? 2
D.
| Maximize | z = 45y1 + 55y2 |
5y1 + 6y2 ? -2
4y1 + 5y2 ? -3
3y1 + 11y2 ? -2