a marketing company did a survey to find out what kinds of soda people drink. the results of the survey are as follows: 59 drink cola, 43 drink root beer, and 51 drink lemon-lime. of those, 23 drink cola and root beer, 35 drink cola and lemon-lime, 22 drink root beer and lemon-lime, 15 drink all three kinds of soda, and 2 drink none of these three kinds of soda.

answer: 180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8