Function- f(x)=-x^2+4x+6
What is the positive difference between the maximums of functions g and f?

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

we have

using a graphing tool

see the attached figure

For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function

so

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

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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step-by-step explanation: