Which of the following subsets of m3(ℝ) are subspaces of m3(ℝ)? (note: m3(ℝ) is the vector space of all real 3 x 3 matrices) a. the invertible 3×3 matrices b. the 3×3 matrices with all zeros in the second row c. the diagonal 3×3 matrices d. the 3×3 matrices in reduced row-echelon form e. the 3×3 matrices whose entries are all integers f. the symmetric 3×3 matrices

Which is the graph of the piecewise function f(x)? f(x)=[tex]f(x) = \left \{ {{-x+1, x\leq 0 } \atop {x+1, x\ \textgreater \ 0}} \right.[/tex]

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

0if x and y vary inversely and y=6 as x=7, what is the constant of variation?