The function h(x)=x^2+3 and g(x)=x^2-6 if g(x)=h(x)+k what is the value of k

hello : k = - 9

Step-by-step explanation:

h(x) =x²+3      and   g(x) = x² - 6(*)

g(x) = x² +3 + k(**)

by (*) and (**) : 3+k = -6

3+k - 3 = - 6 - 3

k = - 9

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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