The function m(s) = 225 + 0.65s represents the material cost of manufacturing gardening scissors when s scissors are produced. the function l(s) = 54 + 1.15s represents the labor cost for producing s scissors. which expression correctly represents the manufacturing cost per scissors? answer choices are a. 171 - 0.50s b. 279 + 1.80s c. 279 + 1.80s/s d. 171-0.50s/s

Option C. is the answer.

Step-by-step explanation:

Function that represents the material cost is M(s) = 225 + 0.65s

and function representing the labor cost is L(s) = 54 + 1.15s

We have to find the expression for manufacturing cost.

Since Manufacturing cost = Labor cost + Material cost

                                          = M(s) + L(s)

Now by replacing the values of M(s) and L(s)

Manufacturing cost = (225 + 0.65s) + (54 + 1.15s)

                                = (225 + 54) + (0.65s + 1.15s)

                                = 279 + 1.80s

Now manufacturing cost of one scissors =

Here manufacturing cost is = 279 + 1.80s

and Number of scissors manufactured = s

So Manufacturing cost per scissors =

Therefore, Option C is the answer.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.