Mr. eseston asks colin if he wants his sandwich in one piece, or cut into two pieces. colin asks him to keep it in one piece because he isn't hungry enough to eat two pieces. colin's answer suggests that he:

Does not yet understand conservation.

Explanation:

This is most likely the reason why Colin answers Mr. Eseston in this way. Colin appears to be too young to understand that if the sandwich is cut in half it will still be the same size than if the sandwich was not cut in half. Therefore, Colin believes that by eating two halves he is eating twice the amount, instead of the same.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7