How many years would it take to eat 1 billion hamburgers
2 answers:
You might be interested in
Let the origin of the coordinate system be the position of ship B at noon. Then the distance between the ships as a function of t (in hours) is
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
Answer: (x - 6)(x + 1)
Step-by-step explanation: This trinomial has an x² term, an x term and a constant term so it can be factored as the product of two binomials.
So starting with our two sets of parentheses, x² factors as x multiplied by x. Now we want to find factors of the constant term that add to the coefficient of the middle term. So we're looking for factors of -6 that add to -5.
A negative number factors into the product of a positive and a negative. So our factors of -6 are 6 × -1, -6 × 1, 3 × -2, or -3 × 2.
This is a trick problem because many of these pairs of factors look like they could add to -5 but the only one that does is -6 × 1.
So our answer is (x - 6)(x + 1).
