What is the vertex of g(x)=3x3x^2-12x12x+7

(2, -5)

Step-by-step explanation:

g(x) = 3x² − 12x + 7

Complete the square.

g(x) = 3 (x² − 4x) + 7

g(x) = 3 (x² − 4x + 4) + 7 − 3(4)

g(x) = 3 (x − 2)² + 7 − 12

g(x) = 3 (x − 2)² − 5

The vertex is at (2, -5).

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step-by-step explanation:

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hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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