Which of the following is a correct interpretation of the expression 2 + 7?
choose 1
(a)
the number that is 2 to the left of - 7 on the number line
i on the number line
(c)
the number that is t to the left of 2 on the number line
(d). the number that is 7 to the right of 2 on the number line

(D). The number that is 7 to the right of 2 on the number line

Step-by-step explanation:

It could also be the number that is 2 to the right of 7 on the number line. When numbers are added, the distances of each to the origin are laid end-to-end from the origin to the right on the number line.

2+7 can mean that the distance 2 is added to the distance 7, or vice versa. (The commutative property of addition says order does not matter.)

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.