Moira uses a difference quotient to determine the average rate of change of f(x) = x2 + 14x from x = –11 to x = 8. She shows the following work.

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  (d) She substituted incorrectly ..

Step-by-step explanation:

The interval Moira wants to use to find the difference quotient is [-11, 8]. This is the interval [x, x+h], so ...

  x = -11

  x +h = 8

Then ...

  h = 8 -x = 8 -(-11) = 19

The proper substitution would be ...

  difference quotient = 2x +14 +h = 2(-11) +14 +19

  difference quotient = 11

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: