Solve the equation. Check your solution.5 + 0.4(3 - y) = 0.9y - 4(y - 0.4)
A.
B.
C.
D.
Answer: D
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Find the equation of the parabola whose vertex and focus are shown.
A. (x + 1)2 = 4(y - 3) B. (y + 1)2 = 4(x - 3) C. (y + 1)2 = -12(x - 3) D. (x + 1)2 = -12(y - 3)
Solve the problem.An office manager is buying used filing cabinets. Small file cabinets cost $7 each and large file cabinets cost $12 each, and the manager cannot spend more than $104 on file cabinets. A small cabinet takes up 7 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 92 square feet of floor space available for file cabinets. The manager must buy at least 7 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.
A. 7x + 12y ? 104 9x + 7y ? 92 x ? 7 B. 7x + 12y ? 104 7x + 9y ? 92 x + y ? 7 C. 7x + 12y ? 104 7x + 9y ? 92 x + y ? 7 D. 7x + 12y ? 104 7x + 9y ? 92 y ? 7
Find the indicated cross product.v = -4i + 3j, w = 5i - 2j + 3kFind v × w.
A. 6i + 15j - 2k B. -7i - 9j - 12k C. 9i + 12j - 7k D. 9i + 12j + 23k
For the given set of ordered pairs, determine whether a function could be defined for which the input would be an x-coordinate and the output would be the corresponding y-coordinate.{(-7, 4), (-7, 3), (2, 7), (4, 5)}
A. Yes B. No