Practice
1. samuel is remodeling his basement. one part of the planning involves the flooring. he knows that he
would like both carpet and hardwood, but isn't sure how much of each he will use. the most amount
of flooring area he can cover is 2000 square feet. the carpet is $4.50 per square foot and the
hardwood is $8.25 per square foot. both prices include labor costs. samuel has budgeted $10,000
for the flooring.
a. write a system of inequalities to represent the maximum amount of flooring needed and the
maximum amount of money samuel wants to spend.
b. one idea samuel has is to make two rooms-one having 400 square feet of carpeting and the other
having 1200 square feet of hardwood. determine whether this amount of carpeting and hardwood are
solutions to the system of inequalities. explain your reasoning in terms of the problem situation.
c. graph this system of inequalities.
d. determine the intersection point of the two lines. is this a solution to this system of inequalities in
terms of the problem situation?
e. identify two different solutions to the system of inequalities. explain what the solutions represent

What is the value of the expression "two less than six times the diffrence of a number and five" when n = 9?

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.

Solve the equation using the zero-product property. -3n(7n - 5) = 0 a. 0, -5/7 b. -1/3, -5/7 c. -1/3, 5/7 d. 0, 5/7