If a system of two equations has exactly one solution, then the lines representing these two equations: ___________________.

What will be an ideal response?


Intersect (once)

Mathematics

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Solve the problem.From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.

A. 20 in. × 20 in. × 10 in.; 4,000 in3 B. 10 in. × 10 in. × 10 in.; 1,000 in3 C. 20 in. × 20 in. × 5 in.; 2,000 in3 D. 15 in. × 15 in. × 7.5 in.; 1,687.5 in3

Mathematics

Points A and B have coordinates (-3, 5) and (4,-3).

(a) Plot A and B on the grid.
(b) Find AB.
(c) Find the midpoint of AB.

Mathematics

Solve for x.|0.9x + 0.7| ? 1

A. -0.889 ? x ? -0.667 B. -0.333 ? x ? 1.889 C. -1.889 ? x ? 0.333 D. 0.667 ? x ? 0.889

Mathematics

Find the domain of the polynomial or rational function. Write your answer in set-builder notation.g(x) = 2x2 - 9x - 5

A. {x|x is a real number}
B.
C.
D.

Mathematics