Kayla and jody are working at a station. they have been given four cards with four different functions on them.

function a function b function c function d
f(x)=2^x+1 f(x)=2(x‒1)^2 f(x)=2x+2 f(x)=2x^2‒1

kayla states that function d always exceeds the other functions. jody doesn't think kayla's statement is true. which values of x disproves her claim? explain your reasoning.

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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