Find approximate solutions for the equation. Round to the nearest hundredth.3.15p2 - 5.89p = 2.63
A. -2.24, 0.37
B. -0.31, 2.31
C. -0.37, 2.24
D. -0.74, 4.48
Answer: C
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The following table shows the amount remaining, in grams, of a radioactive substance after t years.
05101520
500429.37368.71316.63271.9?
A. Calculate the average rate of change in amount of radioactive substance from 
to 
. (Be sure to get the sign right.)B. Explain in practical terms the meaning of the number you calculated in part A.C. Use your answer from part A to estimate the amount remaining after 13 years.D. What is the limiting value of amount remaining of this (or any other) radioactive substance?
What will be an ideal response?
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + xy + y2 - 3y - 6 = 0
A. ? = 45°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±2)
B. ? = 45°
+ 
= 1
ellipse
center at (
, 
)
major axis is y'-axis
vertices at (
, - 
) and (
, 
)
C. ? = 45°
y'2 = -18x'
parabola
vertex at (0, 0)
focus at (- 
, 0)
D. ? = 45°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±
, 0)
Solve.
+ 
= - 
A. 15 B. -16 C. -15 D. No solution
Write the augmented matrix for the system.
A. 
B. 
C. 
D. 