You seem to have
.. g(x) = {(2x^2 -4x -16)/(x -4) . . . x ≠ 4
.. .. .. .. ..{ kx -16 . . . . . . . . . . . . . . x=4
The first expression can be simplified to
.. (2x^2 -4x -16)/(x -4) = 2(x +2)(x -4)/(x -4) = 2(x +2) . . . . x ≠ 4
At x=4, this simplified version has the value
.. 2(4 +2) = 12
To make the alternate definition of g(x) have that same value at x=4, we must have
.. k*4 -16 = 12
.. 4k = 28
,, k = 7
The constant k must be 7 for the function to be continuous at x=4.
240(.15) = 36
240 - 36 = 204
Lucy has 204 miles left to drive.
8/20 in decimal form is
0.4
You can multiply 6x5 and 6x4 then add the products, or you could simplify it by adding the numbers in parentheses and multiplying it by 6 to which you would get the same result. Remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
