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
Feliz [49]
2 years ago
5

I need some help on these 3 questions :)

Mathematics
1 answer:
wlad13 [49]2 years ago
3 0

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

<h3>How to simplify the expressions?</h3>

<u>Factor of the polynomial</u>

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

<u>The length of the pool</u>

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

<u>Simplify the expression</u>

The expression is given as:

(3s^2 - 2s + 1) \div (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

brainly.com/question/2164351

You might be interested in
3. Consider the following box plot.
forsale [732]

Answer:

2.5

Step-by-step explanation:

And Pls dont do that If you dont know dont answer

3 0
3 years ago
Pls help I really don’t understand I’ll be thankful thanks and no links
inysia [295]

Answer:

A: Right

B: Acute

C: Obtuse

D: Acute

Step-by-step explanation:

A: Right

(90 degrees)

B: Acute

(less than 90)

C: Obtuse

(over 90 degrees)

D:  Acute

(less than 90)

6 0
3 years ago
-2 with a exponent six
DIA [1.3K]
-2^{6} &#10;&#10; =  -2 with a exponent six
Well Exponents mean that you multiply the number 6 times. 
Soo..
-2^{6} = -2 x -2 x -2 x -2 x -2 x -2 = 64 

So <span>-2^{6} = 64 
</span>
Good Luck! :)

5 0
3 years ago
Read 2 more answers
How many feet are in 100 inches? Write your answer two ways: in feet and inches and in feet only
jolli1 [7]

Answer: 8 ft and 4 in, 8 1/3 ft

Step-by-step explanation:

100/12=50/6=25/3=8.3333333...

1/3 of a foot is 1/3x12 which is 12/3 which is 4 in.

3 0
3 years ago
What is the value of 2/3^-4
Reptile [31]

Answer:

\frac{16}{49}

Step-by-step explanation:

To solve problems like this, we need to multiply the base ,\frac{2}{3} , the amount of times as the exponent, 4.

Essentially, the equation is \frac{2}{3} x \frac{2}{3}  x \frac{2}{3}  x \frac{2}{3} .

The product would be \frac{16}{49}.

Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.

Hope this helped :)

8 0
3 years ago
Other questions:
  • 66inches long is to be cut into 5 1/2 inches pieces how many pieces can be cut
    15·1 answer
  • Which product is the factored form of the polynomial?
    9·1 answer
  • How do you evaluate a logarithm
    8·1 answer
  • 5 (4^2)-6 (1+4)-(-3)
    8·1 answer
  • 8 Maia is designing a frame that must cover an area of 2000 cm². This is her diagram of the area to be covered by her frame.
    9·1 answer
  • (−8/9) ÷ (−2/3) × (−4 1/2)
    12·2 answers
  • A rectangular box has a volume x^3-64 cubic inches. If the height of the box x-4 inches, what is the area of the base of the box
    14·1 answer
  • What is the order of the coordinates in an ordered pair (4, 6)? *
    14·2 answers
  • Given the Standard Form equation y - 6x = 4
    5·1 answer
  • What 7482 + y + A -2937?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!