Manufactured bolts can’t be too long or too short or they might not fit where they need to. determine which bolts will work and which won’t. show your work for all steps.

a machine makes bolts that are 12 mm long. the bolts are considered acceptable if they are within 0.2 mm of 12 mm.
what is the longest the bolt can be and still be acceptable?

what is the shortest the bolt can be and still be acceptable?

Using the quadratic formula find the zeros of the given polynomial -5x^2+3x-11

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 %

Solve the system of equations using the substitution method. {y=−3x+7x=−2y−16 enter your answers in the boxes.