Lujfl
21.05.2020 •
Mathematics
Lewis was driving at 90 km per hour when he sneezed.
During the sneeze, his eyes were closed for half a second.
Work out how many metres he travelled in this time.
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Ответ:
12.5 m
Step-by-step explanation:
recall that 1 km = 1000 m
hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr
also recall that 1 hour = 60 x 60 = 3600 s
hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.
given that is eyes were closed for 0.5 s.
in 0.5s, he travelled :
0.5s x 25 m/s = 12.5 m
Ответ:
Step-by-step explanation:
(a)
let, f(x) = 2x+1 & g(x) = 2x+2
So, f(x).g(x) = (2x+1).(2x+2) = 4x² + 6x + 2 = 2x+2 in
So, product of two 1 degree polynomials is a 1-degree polynomial in
(b)
let, f(x) = 2x³ - 3x² + 5x + 7 & g(x) = -2x³ + 3x² + x + 3 be two polynomials in R[x]
So, f(x) + g(x) = 6x + 10, which is a polynomial of degree 1 in R[x]
(c)
this is not possible, since, if f & g are 2 polynomials in any polynomial ring S, then, we always have,
deg(f.g) <= deg(f) + deg(g)
So, deg(f.g) = 5 (as desired) but, deg(f) + deg(g) = 2+2 = 4 but, 4 < 5
So, this is not possible.
So, no such example exists.