Given f(x)=x^2+kx-19 and the remainder when f(x)is divided by x-7 is −5, then what is the value of kk?

Polynomial Remainder Theorem:

If we divide a polynomial f(x) by a factor (x – a), then the remainder will be f(a).

In your case, the remainder from dividing by (x-7) will be f(7)

    f(7) = (7)^2 + k(7) -19

          = 49 + 7k -19

          = 30 + 7k

If you want the remainder to be -5, when set 30+7k equal to -5 and solve:

     30 + 7k = -5

             7k = -35

               k = -5

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles