What is the value of the expression (-2)^3 (3)^0 (4)^-2

(-1)/2

Step-by-step explanation:

Simplify the following:

(-2)^3×3^0/4^2

4^2 = 16:

((-2)^3×3^0)/16

3^0 = 1:

(-2)^3/16

(-2)^3 = (-1)^3×2^3 = -2^3:

(-2^3)/16

2^3 = 2×2^2:

(-2×2^2)/16

2^2 = 4:

(-2×4)/16

2×4 = 8:

(-8)/16

The gcd of -8 and 16 is 8, so (-8)/16 = (8 (-1))/(8×2) = 8/8×(-1)/2 = (-1)/2:

(-1)/2

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.