answer.
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
vladimir1956 [14]
2 years ago
13

What is the factored form of this expression?

Mathematics
1 answer:
kirill [66]2 years ago
6 0

Answer:

= (3t+2)(3t-2)(3t-4)

Step-by-step explanation:

Given the expression 27t^3 - 36t^2 - 12t + 16

On factoring:

(27t^3 - 36t^2) - (12t + 16)

= 9t²(3t-4)-4(3t-4)

= (9t²-4)(3t-4)

factoring 9t²-4

9t²-4 = (3t)² - 2²

From different of two square, a²-b² = (a+b)(a-b)

Hence (3t)² - 2² = (3t+2)(3t-2)

= (9t²-4)(3t-4)

= (3t+2)(3t-2)(3t-4)

Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)

You might be interested in
Kaylee has 16 pairs of flip-flops in her closet. She discovers that she has 1 red, 3 blue, 2 brown, 5 black, 1 purple, and 4 pai
Natalija [7]

Answer:3/16 and 4/16

Step-by-step explanation:

4 0
2 years ago
Use the table to answer the question. House A $124,270 Annual appreciation 4% House B $114,270 Annual appreciation 5% In which o
Varvara68 [4.7K]
For the house A we have:
 f (x) = 124270 (1.04) ^ x
 Evaluating for 7, 8, 9 and 10 we have:
 f (7) = 124270 (1.04) ^ 7 = 163530.8422
 f (8) = 124270 (1.04) ^ 8 = 170072.0759
 f (9) = 124270 (1.04) ^ 9 = 176874.9589
 f (10) = 124270 (1.04) ^ 10 = 183949.9573

 For house B we have:
 
f (x) = 114270 (1.05) ^ x
 Evaluating for 7, 8, 9 and 10 we have:
 f (7) = 114270 (1.05) ^ 7 = 160789.3653
 f (8) = 114270 (1.05) ^ 8 = 168828.8336
 f (9) = 114270 (1.05) ^ 9 = 177270.2752
 f (10) = 114270 (1.05) ^ 10 = 186133.789

 We observe that for years 7 and 8 the value of house A is greater than the value of house B.

 Answer:
 
7 and 8
4 0
2 years ago
10=ax-3b solve for x
Finger [1]
10 = ax - 3b

First, add 3b to both sides. / Your problem should look like: 10 + 3b = ax.
Second, divide both sides by a. / Your problem should look like: \frac{10 + 3b}{a} = x.
Third, switch sides. / Your problem should look like: x = \frac{10 + 3b}{a} which is your answer.

8 0
2 years ago
Read 2 more answers
A barrier in the shape of a rectangle is used to retain oil spills. On a blueprint, a similar barrier is 9 inches long and 2 inc
drek231 [11]

Width of the actual barrier = 1.2 miles

Width of the barrier in the blueprint = 2 inches

2 inch dimension of blueprint = 1.2 miles of original

So, 1 inch dimension of blueprint = 1.2/2 = 0.6 miles.

Since the length of the barrier in the blueprint = 9 inches,

length of the actual barrier = 9(0.6) = 5.4 miles.

5 0
2 years ago
Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = (x, y) | 2 ≤ x ≤ 8, 6
Marianna [84]

See attached picture:

8 0
2 years ago
Other questions:
  • If Emily made 75% of the baskets that she attempted if she made nine baskets how many attempt did she make
    13·1 answer
  • The sum of the first 15 terms of the sequence an=10n+21
    12·1 answer
  • Landon babysits and works part time at tge water park over the summer. onw week, he babysat for 3 hours and worked at the water
    13·2 answers
  • How are conditional probability and independent events related?
    6·1 answer
  • Which equations are equivalent to + StartFraction 13 Over 15 EndFraction StartAbsoluteValue 2 minus x EndAbsoluteValue equals St
    14·1 answer
  • An experiment was performed to compare the wear of two different laminated materials. Twelve pieces of material 1 were tested by
    7·1 answer
  • A body of mass 80kg was lifted vertically through a distance of 5.0 metres. Calculate the work done on the body. ( Acceleration
    10·2 answers
  • Canteen A, canteen B and Canteen C repeat their lunch means every 12 days, 8days and 10 days respectively. All three canteens se
    6·1 answer
  • Write (9m) ^4 without exponents.
    7·1 answer
  • Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!