Find the equation of the plane that passes through the point (1, 2, 3) and cuts off the smallest volume in the first octant. hint: it is a bit more convenient to write the equation of a plane in the form x a + y b + z c = 1, where, now, a, b, c are the x, y, z-intercepts respectively.

Will mark brainliest with 20 points! the table shows how far object 1 traveled as a function of time. *time (seconds) - 2 4 6 8 *distance traveled (feet) - 18 36 54 72 the equation shows how far object 2 traveled in feet as a function of time in minutes. *f(x) = 10x which object traveled at a faster speed? justify your response.

Marco has $38.43 dollars in his checking account. his checking account is linked to his amazon music account so he can buy music. the songs he purchases cost $1.29. part 1: write an expression to describe the amount of money in his checking account in relationship to the number of songs he purchases. part 2: describe what the variable represents in this situation.

If the value of x increases by 5, how does the value of m(x + 3) change? a) it increases by 5m. b) it increases by 8m. c) it decreases by 5m. d) it decreases by 8m.