A company that manufactures dishwashers is testing their latest product to see how long it takes to cool down once a cycle is complete. The function, f(x) = 360 - 15x, represents the cooling cycle, where x is equal to the number of minutes and f(x) is equal to the temperature of the dishwasher after x minutes.

Step-by-step explanation:

Given that the function for the temperature of the dishwasher is

f(x) = 360 - 15x

We are told that x represents the number of minutes it takes to cool down.

with a given/known value of x we can predict the temperature of the dishwasher.

Say x=12 minutes, we can tell what the temperature will be after 12 minutes

by plugin in the value of x=12 in the expressions for the temperature

f(x) = 360 - 15(12)

f(x) = 360 - 180

f(x) = 180

The temperature after 12 minutes will be 180°

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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