The function f(x) varies inversely with x and f(x)=0.5 when x = 0.15.
What is f(x) when x = 2.5?

0.03

Step-by-step explanation:

Standard equation of inverse variation:

y = k/x

In function notation it is

f(x) = k/x

We are given f(0.15) = 0.5

0.5 = k/0.15

k = 0.5 * 0.15

k = 0.075

The function is

f(x) = 0.075/x

For x = 2.5,

f(2.5) = 0.075/2.5

f(2.5) = 0.03

0.03

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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