Question

please reply this questions​

Answer 1

Answer:

sorry yaarr i dont knoww

Answer 2

Answer:

11) The average speed of the express train is 44 km/h.

    The average speed of the passenger train is 33 km/h.

12) g(x) = x² - x + 1

Step-by-step explanation:

Question 11

Let e be the average speed of the express train.

Let p be the average speed of the passenger train.

Let t be the number of hours taken by the express train.

Since the average speed of the express train is 11 km/h more than that of the passenger train:

• e = p + 11      ...(1)

Recall average speed = distance / time.  So...

• et = 132

Together with (1), this give

• (p + 11)t = 132      ...(2)

Since the express train takes 1 hour less than the passenger train, the time taken by the passenger train is t+1 hours, so...

• p(t + 1) = 132      ...(3)

Equations (2) and (3) together give

• p(t + 1) = (p + 11)t  ⇒  pt + p = pt + 11t  ⇒  p = 11t.      ...(4)

Substituting this back into (3) gives

• 11t(t + 1) = 132  ⇒  t(t + 1) = 12  ⇒  (t - 3)(t + 4) = 0  ⇒  t = 3 or t = -4.

Since t must be positive, we conclude that t = 3.

Now (4) and then (1) give:

• p = 33  and  e = 44.

Question 12

"Dividing f(x) by g(x) gives quotient q(x) and remainder r(x)"

means

• f(x) / g(x) = q(x) + r(x) / g(x)

or the same thing written differently

• f(x) = q(x) g(x) + r(x).

Here we are told:

• f(x) = x³ - 3x² + x + 2
• q(x) = x - 2    [ the quotient ]
• r(x) = -2x + 4   [ the remainder ].

So

g(x) = ( f(x) - r(x) ) / q(x)

      = ( (x³ - 3x² + x + 2) - (-2x + 4) ) / (x - 2)

      = (x³ - 3x² + x + 2 + 2x - 4) / (x - 2)

      = (x³ - 3x² + 3x - 2) / (x - 2)

      = x² - x + 1

Hope this helps!