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?

Step-by-step explanation:

The longest acceptable bolt is one that is longer than the mid-range value by an amount equal to the difference limit, 0.2 mm

  12 mm + 0.2 mm = 12.2 mm . . . . longest acceptable bolt

The shortest acceptable bolt is one that is shorter than the mid-range value by an amount equal to the difference limit.

  12 mm - 0.2 mm = 11.8 mm . . . . shortest acceptable bolt

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.