Provide an appropriate response.If a ? b, is it always true that -4a ? -4b? Explain.
What will be an ideal response?
Explanations will vary. One possible answer:No. Multiplying an inequality by a negative number requires reversing the inequality symbol.
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Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects. A projectile is launched from level ground at a launch angle of 26° and an initial speed of 48 m/sec. How far away from the launch point does the projectile hit the ground?
A. ? 60 m B. ? 230 m C. ? 290 m D. ? 185 m
Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= -1.8, Xmax=1.8, Xscl=1, Ymin= -1.2, Ymax=1.2, Yscl=1. Set the functions to X1T=cos T, Y1T=sin T. Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.For what angle T is sin T ? 0.174? (Assume 0° ? T ? 90°.)
A. 56.422° B. 0.174° C. 10° D. 80°
Solve.The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $190,000, find each worker's salary.
A. president's salary = $95,000; department head's salary = $47,500 B. president's salary = $47,500; department head's salary = $142,500 C. president's salary = $142,500; department head's salary = $47,500 D. president's salary = $14,250; department head's salary = $4750
Describe the situation with a linear inequality and then solve the inequality.A certain car has a weight limit for all passengers and cargo of 1185 pounds. The four passengers in the car weigh an average of 160 pounds. Use an inequality to find the weight of the cargo that the car can handle.
A. at most 545 pounds B. at most 7 pounds C. at most 592 pounds D. at most 1025 pounds