Three consecutive even numbers have a sum where one half of that sum is between 90 and 105.
a)write an inequality to find the three numbers. let n represent the smallest even number.
b)solve the inequality

a)

b)n can be 60,62,64; 62,64,66; 64,66,68; 66,68,70.

Step-by-step explanation:

Let the three consecutive even numbers be n, n+2, n+4.

Sum is given by

So, half of that sum is given by

And it is between 90 and 105.

a)Write an inequality to find the three numbers. Let n represent the smallest even number.

so, it becomes,

b)Solve the inequality:

Hence, n is somewhere between 58 and 68.

Therefore, n can be 60,62,64; 62,64,66; 64,66,68; 66,68,70.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50