How many times do f(x)= 3x^2-2x+1 and g(x)=-x^2+10x-8 intersect? explain

one - x = 3/2

Step-by-step explanation:

when f(x) = g(x) , functions will intersect

3x²-2x+1=-x²+10x-8

4x²-12x+9 = 0

this is a 2nd degree equation and it may have maximum 2 answers and we should calculate delta first

delta = (12)²-4*4*9 = 0

so when delta is equal to 0 we just have one real answer

answer is 12/(2*4) = 3/2

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540