Ian and his family are driving to visit friends in another state. on the first part of the trip, they drive for 2 hr. at a constant rate of 60 mph. then they hit rush hour and slow down to a constant rate of 45 mph for the next hour. the last three hours of the trip, they drive at a constant rate of 55 mph. how many miles did ian and his family drive?

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.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d