Find the standard form of the equation for the ellipse satisfying the given conditions. Foci at (0, ±6); vertex (0, -7)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: C
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Use factoring to solve the equation.3x2 - 23x = 8
A. -3, 8
B. - 
, -3
C. - 
, 8
D. - 
, 3
Expand the expression using the Binomial Theorem.(x2 + 3y)4
A. x8 + 9x6y + 54x4y2 + 81x2y3 + 81y4 B. x8 + 12x6y + 54x4y2 + 108x2y3 + 81y4 C. x6 + 9x5y + 54x4y2 + 81x2y3 + 81y4 D. x6 + 12x5y +18x4y2 + 12x2y3 + 3y4
Solve the problem.The graph below shows the rate of natural gas usage (in therms per day) in one household for a 30-day period. Estimate the total number of therms used during this period. Use left endpoints and rectangles with widths of 3 days.
A. 147 therms B. 159 therms C. 136 therms D. 165 therms
Solve the problem.A rectangle has sides of length 8x + 3 meters and 4x - 5 meters. The algebraic expression 
represents the perimeter of the rectangle. Simplify the expression 2(8x + 3) + 2(4x - 5).
A. 12x - 2 B. 24x - 4 C. 24x - 2 D. 20x