Provide an appropriate response.In solving a system of three equations in three variables, the final step yields the equation:0 = 0.How many solutions does this system have? Explain geometrically.
What will be an ideal response?
There are an infinite number of solutions. All three planes coincide, the three planes intersect along a common line, or two planes coincide and intersect the third plane in a line.
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Simplify the expression.5 + 3(2w + 4) - w
A. 7w - 17 B. 7w + 17 C. 5w + 9 D. 5w + 17
Solve.
+ 
= 
A. -1 - 2i, -1 + 2i
B. -1 - 
, -1 + 
C. 1 - 
, 1 + 
D. 1 - 2i, 1 + 2i
Solve the problem.The number of bacteria growing in an incubation culture increases with time according to 
where t is time in days. Find the number of bacteria when 
and 
.
A. 8400; 5,250,000 B. 8400; 168,000 C. 8400; 26,250,000 D. 42,000; 5,250,000
Solve.The motion of a projectile that is fired at a 60° angle with the horizontal is given by x = 
t, 
for t in 
Suppose a projectile is fired with an initial velocity of 400 feet per second at an angle of 60° with the horizontal. Find (a) the time when it strikes the ground and (b) the range (horizontal distance covered).
A. (a) 12.5 seconds (b) 4330 feet B. (a) 21.7 seconds (b) 4330 feet C. (a) 6.3 seconds (b) 625 feet D. (a) 10.8 seconds (b) 5625 feet