x)32 +2. Answer: 6x +3h 4) Evaluate the piecewise defined function x)at the indi

Question

x)32 +2. Answer: 6x +3h 4) Evaluate the piecewise defined function x)at the indicated ). value/( Answer: 5) Evaluate the function Ax) -2 2x-3 at the indicated value -3). Answer: 18 6) Boyle's Law states that when a sample of gas is compressed at a constant temperature,the pressure of the gas is inversely proportional to the volume of the gas.Suppose the pressure of a sample of air that occupies 0.16 m3 at 15 °C is 40 kPa. Find the constant of proportionality, and write the equation that expresses the inverse proportionality (Let P be the pressure of the sample of the gas and let V be its volume,and k is a constant) Answer: P-54 7) Find an equation of the line that is perpendicular to the line 2x + 5y +8-0 and passes through the (-1, -2). Answer: 5x-2y +1-0 8) Find an equation of the line through the point ( 1, - 6) that is parallel to the line x+2y 6. Answer: x+ 2y +11-0 9) Find the slope and y-intercept of the line 4y+ 3x = 2. ¼ and y-intercept- r: m 10) Find an equation of the line through the points (-2, 5) and (-1,-3). Answer: 8x +y + 1 1 = 0

Explanation / Answer

4. f(-2/3)

Here x=-2/3 which is >-1, so we have to use f(x)=x+1

Therefore f(-2/3)=(-2/3)+1=1/3

5.f(x)= 2 | 2x-3 |

f(-3)=2| 2(-3)-3 |= 2 | -6-3 | = 2 |-9 |=2(9)=18

6. P=k/V

k=PV=0.16(40)=6.4

P=6.4/V

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