Factor. x2−9x+20 enter your answer in the box.

(x-4) (x-5)

Step-by-step explanation:

x^2 -9x+20

What two number multiply to 20 and add to -9

-4*-5 = 20

-4+-5 = -9

(x-4) (x-5)

actors of x2−9x+20 are (x - 4) and (x - 5)

Step-by-step explanation:

It is given that,

p(x) =x2−9x+20

Factorize using splitting method

p(x) =x2−9x+20

20 = 5*4  and 5+4 = 9

p(x) = x2−4x - 5x + 20

  = x(x -4) -5x(x - 4)

  = (x - 4)(x - 5)

Therefore factors of x2−9x+20 are (x - 4) and (x - 5)

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.