Use the discriminant and select whether the roots of 4x 2 - 3x + 3 = 0 are real or imaginary.

roots are imaginary

Step-by-step explanation:

Formula to find discriminant is

Given equation is in the form of ax^2+bx+c=0

a=4, b=-3, c=3

Plug in all the values in the discriminant formula

When discriminant >0, the roots are real

when discriminant <0 then roots are imaginary

we got discriminant =-39 that is less than 0, so roots are imaginary

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional