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
Leni [432]
3 years ago
9

Factorize using identities (i) 1-64x³+48x²-12x

Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

(1 - 4x)³

Step-by-step explanation:

The first 2 terms are a difference of cubes and factor in general as

a³ - b³ = (a - b)(a² + ab + b²), thus

1 - 64x³

= 1³ - (4x)³

= (1 - 4x)(1 + 4x + 16x²)

Thus

1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms

= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)

= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms

= (1 - 4x)(1 + 4x + 16x² - 12x)

= (1 - 4x)(1 - 8x + 16x²) ← perfect square

= (1 - 4x)(1 - 4x)²

= (1 - 4x)³  ← in factored form

You might be interested in
Find the area of the figure.
gayaneshka [121]

Answer:

33 units squared is the area of the shape.

Step-by-step explanation:

We know that the the area of the orange (bookmark) shape would be 42 units squared total, since the length is 7 and width is 6 (or vice versa) Now, all we need to find is how many squares inside the rest of the small portion to fill in the shape and subtract that from 42. Adding the squares and half squares in the small portion, I got 9. 42-9 is 33 units squared

3 0
2 years ago
Read 2 more answers
Please help me I need help ASAP
never [62]

you have to start at -2 on the y axis and go up 4 and across 7 and keep going until you're off the graph

7 0
3 years ago
The endpoint of a diameter of a circle are (-4,2) and (12,10). What is the y-coordinate for the center of the circle
gavmur [86]

Answer:

  6

Step-by-step explanation:

The center of the circle is the midpoint of the diameter. The midpoint can be found by averaging the coordinates of the end points:

  ((-4, 2) +(12, 10))/2 = ((-4+12)/2, (2+10)/2) = (4, 6)

The y-coordinate of the center is 6.

8 0
3 years ago
It is claimed that an automobile is driven on the average more than 20,000 kilometers per year. To this claim, a random sample o
Aleonysh [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sample mean(x) = 23500

Sample standard deviation (sd) = 3900

Sample size (n) = 20

Population mean (m) = 20,000

Null hypothesis : m = 20000

H1: m > 20000

To obtain the z-score :

(population mean - sample mean) / (sample standard deviation /√sample size)

(x - m) / (sd/√n)

(23500 - 20000) / (3900 / √20)

3500 / (3900 /4.4721359)

3500 / 872.06651

= 4.0134

Get the P value to know if to reject or accept the null:

P(z > 4.0134) = 1 - P(z < 4.0134)

P(z < 4.0134) = 1

1 - P(z < 4.0134) = 1 - 1 =0

Since P value is < alpha, we reject the null.

Hence average is > 20000

3 0
3 years ago
(4 – 4 cosx)(4 +4 cosx)<br> Simplify
natali 33 [55]

Answer:

I don't quite know

Step-by-step explanation:

but thanks for asking

3 0
3 years ago
Read 2 more answers
Other questions:
  • Page's front door measures 84 inches by 54 inches. What is the area of the door? (ONLY IF YOU KNOW)
    6·1 answer
  • Convert the following common fractions to decimals. Round to three decimal places if necessary. 5/6 = A)0.83 B)5.6 C)0.56 D)0.83
    15·1 answer
  • A cell phone can receive 120 messages per minute. At this rate, how many messages can the phone recieve in 150 seconds
    7·1 answer
  • Jodie Meeks's Free Throws During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage
    14·1 answer
  • Need help ASAP!!!!!!
    11·1 answer
  • Express the fifth roots of unity in standard form a + bi. with 1 + 0i
    15·1 answer
  • Write a word sentence for the equation 2.3m = 0.46
    14·2 answers
  • PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS
    12·1 answer
  • MIDDLE SCHOOL MATH On the subway 8 out of 10 people are carrying a briefcase. Based on this information, if there are 700 people
    8·2 answers
  • Select the correct answer from each drop-down menu.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!