1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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)

You might be interested in
A driving exam consists of 30 ​multiple-choice questions. Each of the 30 answers is either right or wrong. Suppose the probabili
Butoxors [25]

Answer:

a. P(x>20)=0.19

b. P(x≥6)=0.72

c. P(x≤20)=0.81

d. A and C

Step-by-step explanation:

We know that:

1) the probability that a student makes fewer than 6 mistakes is 0.28

P(x

2) The probaiblity that a student makes between 6 to 20 mistakes is 0.53.

P(6\leq x\leq20)=0.53

We will express the proabilibities in function of the information we have.

a. Probability that a student makes more than 20 mistakes.

P(x>20)=1-P(x\leq20)=1-(P(x20)=1-(0.28+0.53)=1-0.81=0.19

b. Probability that the student make 6 or more mistakes

P(x\geq6)=1-P(Px

c. Probability that a student makes 20 mistakes at most

P(x\leq20)=P(x

d. A and C, because A takes a event of more than 20 mistakes and C takes the event of 20 or less mistakes. Both events cover a probability of 1.

7 0
3 years ago
Which number is greater 30% or 0.03?
Y_Kistochka [10]
30% because as a decimal it would be written as .30 and that is greater then .03 
4 0
3 years ago
Every positive integer is smaller than every negative integer true or false
Evgen [1.6K]
The answer is false. Good luck with other questions!
5 0
3 years ago
Simplify the expression: 5 x t x 5
vodka [1.7K]
I think it would be 25t but correct me if i’m wrong
8 0
3 years ago
Read 2 more answers
The initial water level of a darn is 35 meters and decreases at a rate of 0.7 meters per day.
sdas [7]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • CAN SOMEONE PLEASE HELP ME
    7·1 answer
  • (Q9) Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using
    11·1 answer
  • If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
    11·1 answer
  • Help time based question 10 points
    9·2 answers
  • Please help me on this question as soon as possible….
    8·2 answers
  • Which property is represented by the equation shown below? (6 x 3) x 2 = (3 x 6) x 2.
    6·1 answer
  • In the rectangle LOBA, if m∠1 = 36°. Find m∠OBA and m∠2.<br> m∠OBA = <br> m∠2 =
    13·1 answer
  • Convert 2/5 to per cent
    10·2 answers
  • Justice has a rectangular lot that is 125ft by 175ft. If he wants to place a fence around the outer edge of the property, how ma
    5·1 answer
  • Simplify the expression (65 points)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!