Unit 3, Lesson 2: Practice Problems
1.
The tortoise and the hare are having a race. After the hare runs 16 miles the tortoise has
only run 4 miles.
The relationship between the distance the tortoise "runs" in miles for every y miles
the hare runs is y = 4x. Graph this relationship (equation). (remember y-4x is the same
as y-4x+0. Think about where you start and how much do you move?)
hare distance (miles) y- axis 2 4 6 8 10 12 14 16 18 20
tortoise distance (miles)x-axis 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

1. 34

2. 268

3. x=14.4

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.