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
scoundrel [369]
3 years ago
13

Factor the expression 9x^2-1

Mathematics
2 answers:
Ivan3 years ago
8 0

Answer:

(3x - 1)(3x + 1)

Step-by-step explanation:

9x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

9x² - 1

= (3x)² - 1² ← with a = 3x and b = 1, thus

= (3x - 1)(3x + 1)

saw5 [17]3 years ago
3 0

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

3

x

and

b

=

1

.

(

3

x

+

1

)

(

3

x

−

1

)

Step-by-step explanation:

You might be interested in
What is 4 1/8 times 2 1/2
Natalka [10]

Answer:

\frac{33}{20}

Hope this helps!

8 0
3 years ago
Is the last question correct? (Last question is in first pic)
Vikentia [17]

Answer:

If (K + 1)^2 = 2n + (n^2)/2, then the answer is Yes, else No.

Step-by-step explanation:

Sum of first K + 1 odd numbers (S): 1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1).

(1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1)) + ((2K + 1) + (2K - 1) + (2K - 3) + ... + 5 + 3 + 1 ) = (2K + 2) + (2K + 2) + (2K + 2) + ... + (2K + 2) + (2K + 2) + (2K + 2) (repeat K + 1 times) = (2K + 2)(K + 1) = 2S

2S = (2K + 2)(K + 1)

S = (2K + 2)(K + 1)/2

S = (2K^2 + 4K + 2)/2

S = K^2 + 2K + 1

S = (K + 1)^2

(4n + n^2)/2 = 2n + (n^2)/2

4 0
3 years ago
An experimental vehicle was able to travel 3/8 miles on 1/16 gallon of water. At this rate, what was the mileage in miles per ga
kumpel [21]

Answer:

6 miles per gallon

Step-by-step explanation:

Given : An experimental vehicle was able to travel 3/8 miles on 1/16 gallon of water.

To Find: At this rate, what was the mileage in miles per gallon of water for this vehicle?

Solution:

Since An experimental vehicle was able to travel 3/8 miles on 1/16 gallon of water.

So, the mileage in miles per gallon of water for this vehicle:

\frac{\frac{3}{8}}{\frac{1}{16}}

{\frac{3}{8}*16

3*2

6

Thus the mileage of water for this vehicle is 6 miles per gallon

3 0
3 years ago
I really need help!!!ASAP!!!My homework is due tomorrow!!​
Nikitich [7]

Answer:

26 oranges

Step-by-step explanation:

(2330-96)/96

=23.2708

So there are 23crates where each of them can hold 96 oranges, so

(2330-96)-23x96=26, the remainder is26, so there are 26 oranges left in the last crate.

3 0
4 years ago
Which of the following are factors of both 15 and 45?
sveticcg [70]

Answer:

5,3

Step-by-step explanation:

5*3=15

15*3=45

3 0
4 years ago
Read 2 more answers
Other questions:
  • Debbie has $460 in a savings account that earns 8% annually. If the interest is not compounded, how much interest will she earn
    14·2 answers
  • Express 900 as a product of its prime factors im index form ​
    5·2 answers
  • An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
    13·1 answer
  • Hakuna Matata!
    7·2 answers
  • 5. Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee o
    14·1 answer
  • What graph represents the piecewise-defined function?
    8·1 answer
  • If Savannah is throwing a party but only has 18 rooms in her house and each room can only fit x people. What expression should S
    15·1 answer
  • Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from
    7·1 answer
  • Find the radius of a circle with an area of 380 square inches. Round your answer to the nearest hundredth.​
    8·2 answers
  • If a researcher needs a sample that is representative of the population they are studying, they could utilize a _______.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!