When planning his crops, farmer tim knows that his 7 acres can support peas and carrots. he wants to make $7,000 from his crops. he can make $2,000 per acre of peas (the variable p) and $1,000 per acre of carrots (the variable c). which equation below would be a constraint in his system of equations? a. 2,000p 1,000c = 7,000 b. 2,000p − 1,000c = 7,000 c. p c = 7 d. c − p = 7

What is the equation of a vertical line passing through the point (−5, −1)? y = −5 y = −1 x = −5 x = −1

Lindsay used two points, (x, y; ) and (+2.82), to find the equation of the line, y = mx + b, that passes through the points. y2-y, first, she used the definition of slope and determined that the value of mis x, - . given this information, which expression must represent the value of b?

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %