Graph the inequality.x + y < -3
A.
B.
C.
D.
Answer: D
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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]
A. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point. B. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. C. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent. D. The mountainside rises in all directions relative to the dip.
Provide an appropriate response.Let P be a 3 × 3 matrix that has a multiplicative inverse. Which of the following statements are false? (Let 0 represent the 3 × 3 zero matrix.)(i) 0 ? P = 0(ii) PP-1 = 0(iii) P-1P = I3(iv) PP-1 = P
A. (ii) B. (i), (iii) C. (iv) D. (ii), (iv)
Factor out the greatest common factor.(x - 7)(x + 9) + (x - 7)(x + 3)
A. (x - 7)(2x + 12) B. 2(x - 7)(2x + 12) C. 2(x - 7)(x + 6) D. (x - 7)(x + 12)
Provide an appropriate response.Are both 2 and natural numbers, integers, or irrational numbers?
A. Irrational numbers B. Integers C. Natural numbers D. None of the above