a bike rental company charges $12, which includes the first 30 minutes of biking. thereafter, the company charges an additional $0.25 per minute. write a numeric sequence for the first 5 minutes of the 30 minutes.

0.4, 0.8, 1.2 ,1.6 ,2.0

Step-by-step explanation:

First we have to find what the question is really asking and get rid of unwanted or not needed information. It is asking to write a numeric sequence for the first 5 minutes of the 30 minutes.

Second we need to find the pattern. So lets divide $12 by 30. That will equal 0.4 a minute.

Last we add 0.4 for each minute. 0.4 is the first, then 0.8 is 2 minutes, then 1.2 and etc.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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