Establish the identity.
= 
What will be an ideal response?
= 
= 
= 
.
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Provide an appropriate response.Use the Intermediate Value Theorem to prove that 9x3 + 3x2 - 9x - 8 = 0 has a solution between 1 and 2.
What will be an ideal response?
Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where 
, 
, and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 15 in. 3/sec, at what rate is P increasing when P = 40 lb/in.2 and V = 50 in.3? (Do not round your answer.)
A. 
lb/in.2 per sec
B. 
lb/in.2 per sec
C. 
lb/in.2 per sec
D. 12 lb/in.2 per sec
Solve the equation using both the addition and multiplication properties of equality.-3x + 4x - 9 = 8x
A. 
B. 
C. 
D. 
Solve the problem. Round your answer to the nearest whole number.A tree casts a shadow 21 m long. At the same time, the shadow cast by a 70-cm tall statue is 73 cm long. Find the height of the tree.
A. 19 m B. 21 m C. 20 m D. 22 m