The list shows numbers in order from least to greatest. Negative 15, negative 3 and four-fifths, negative 1.5, blank, 2.3, 5 and two-thirds Which is an integer that can be inserted on the blank line in the list? A. –2 B. Negative 1 and one-third C. 0 D. 1.2

The correct option is option C

Step-by-step explanation:

Here we want an integer that can be inserted into the blank.

We have:

-15 , -3 4/5 , -1.5 , blank , 2.3 , 5 2/3

The integer that must be inserted into the blank should have a value between -1.5 and 2.3

What this means is that it should be greater than -1.5 but less than 2.3

Option A is incorrect since -2 itself is less than -1.5

option B is incorrect as it not an integer ( integer are whole numbers)

option C is correct

D. option D is incorrect since it is not an integer

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