The function f(x) = -6x. the graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. what is the function rule for g(x)?

g(x) = 42x

Step-by-step explanation:

Start with the function f(x) = -6x.  

If we stretch it vertically by a factor of 7, f(x) becomes g(x) = 7(-6x) = -42x.

If we now reflect this g(x) in the x-axis, the rule becomes g(x) = 42x.

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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