FIFTY POINTS!
Please help me create the rational function that fits this graph!
PLEASE LOOK AT FILE ATTACHED!

WILL GIVE BRAINLIEST! THANK YOU

According to the picture, we can have the function form as:

y = ax^2 + bx + c

The y-intercept is (0, 2) => c = 2

=> y = ax^2 + bx + c

The x-intercept is (-2, 0)

=> 4a - 2b = 0 (1)

The graph goes through (1, 1.5)

=> a + b + 2 = 1.5

=> a + b = -0.5 (2)

From (1) and (2)

=> 4a - 2(-a - 0.5) = 0

=> 6a + 1 = 0

=> a = -1/6 => b = -0.5 - (-1/6) = -1/2 + 1/6 = -15/30 + 5/30 = -10/30 = -1/3

=> y = (-1/6)x^2 -(1/3)x + 2

Hope this helps!

:)

step-by-step explanation:

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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