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statuscvo [17]
3 years ago
12

Factor 125x^3-1000. Show your work.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

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Ronch [10]
Jeff has -15$ his gf faith gives him 7. 
5 0
3 years ago
An athlete training for the olympics swims each lap of a four-lap race in the following times: 54.73 , 54.56 , 54.32 , and 54.54
solniwko [45]

Answer:

218.25 seconds

Step-by-step explanation:

54.73

54.56

54.32

54.54

+_____

218.15

3 0
3 years ago
6. You are planning a trip. You can go to Phoenix, Las Vegas, San Diego, or Los Angeles. You can
nadya68 [22]

Answer:

There are 24 different trip possibilities.

Step-by-step explanation:

Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.

The first event is the selection of the location.

Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)

The second event is the selection of how you go there.

The options are flying or driving (2 options)

The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).

The total number of different trip possibilities is equal to the product between the number of options for each event.

P = 4*2*3 = 24

There are 24 different trip possibilities.

6 0
3 years ago
PLS HELP!! this is due today pls help me thank u so much.
riadik2000 [5.3K]

Answer:

23.3

Step-by-step explanation:

Use phyth. Thm.

a^2 + b^2 = c^2

A and B are the side lengths, and C is the hypotenuse. The hypotenuse is across the right angle.

Since you only have one side length and the hypotenuse this what your equation will look like:

30^2 + x^2 = 38^2

900 + x^ = 1444

544 = x^2

x = roughly 23.3

8 0
3 years ago
Read 2 more answers
Draw the line through the point (4,5) that is parallel to the y-axis. Write the equation of this line and state its slope
ollegr [7]
Parallel to the y axis...that would mean that it is a vertical line.
The equation would be : x = 4 and it would have an undefined slope
7 0
3 years ago
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