Bess is trying to solve a puzzle where she has to figure out two numbers, x and y. the sum of twice x and 3 times y is less than 6. also, y must be greater than 1 less than twice the x. which graph represents the possible solutions? graph the inequalities 2 x plus 3 y less than 6 and y greater than 2 x minus 1 graph the inequalities 2 x minus 3 y less than 6 and y greater than 2 x minus 1 graph the inequalities 3 x minus 2 y less than 6 and y greater than 3 x minus 2 graph the inequalities 3 x minus 5 y less than 6 and y greater than 3 x plus 2

The correct option is 1.

Step-by-step explanation:

Let the two  numbers are x and y.

Condition 1: The sum of twice x and 3 times y is less than 6.

                            ..... (1)

Condition 2: y must be greater than 1 less than twice the x.

                              .... (2)

Therefore the graph of inequality (1) and (2) represent the all possible solutions.

Option 1 is correct. The graph of above inequality are shown below.

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered

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