F(x) = 22
g(x) = (2-6)
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f
up/down/left/right
by
units.

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

~

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

tip $2.90

total $17.40