Mathematics: 3x^2 + 9x + 4x + 12

Step-by-step explanation: 3x² + 9x + 4x + 12 = 3x² + 13x +12 = (x+3)(3x+4)if 3x² + 9x + 4x + 12 = 0...

3x^2 + 9x + 4x + 12, №17887125, 22.10.2022 01:41

Mathematics

Which expression is not a polynomial? a. 3x^3+5x-4b. (2/5) x-7c. 5d. 3^(1/2)+5which answer expresses the polynomial in standard form? 12x^3+5+5x^2-6x^2-3x^3-9-x a. 9x^3-x^2-x+45b. 9x^3+x^2-x-2c. 9x^5-x^2-x-4d. 9x^3-x^2-x-4which expression is equivalent to this expression? [4x^2-4x+5] - [3x^2-6x+2]a. 12x^2-10x+7b. x^2-2x+3c. x^2+2x+3d. x^2-10x+7which expression is equivalent to (2x-3) (5x+4)a. 10x^2-12b. 10x^2-7x-12c. 10x^2+23x+12d. 7x^2-2x+1which expressions represents the area of the rectangle? (2h-1) and 4h+3a. 8h^2-3b. 6h+2c. 8h^2+2h-3d. 8h^2-2h+3which

Step-by-step answer

P Answered by Master

2

1) D

2) D

3) C

4) B

5) C

6) A

7) C

Step-by-step explanation:

1) A polynomial contains integral positive degrees of x .

Though 5 does not contain x, we can take as x power 0

But 3^(1/2)+5 contains no x term, and an irrational term.

Hence option D

2) Grouping like terms and write in descending powers of x we get

d. 9x^3-x^2-x-4 is right answer

3) [4x^2-4x+5] - [3x^2-6x+2] = [4x^2-4x+5] - 3x^2+6x-2

= X^2+2x+3

So option c

4) By multiplication we get product as

B. 10x^2-7x-12

5) Rectangle area = length x width = (2h-1) (4h+3)

= 8h^2+2h-3

Option C

6) Take common factor b outside

Answer is a. 3b (2b^2+3b-4)

7) Use the identity a^2-b^2

C. (2x+5)(2x-5) is answer

Mathematics

What is the sum or difference? 1. 2x^4 - 8x^4 (a). -6x^8 (b). -6x^4 (c). -16x^4 (d). -16x^8 what is the sum or difference? 2. 6y^5 - 9y^5 (a). -3y^10 (b). 15y^5 (c). -54y^5 (d). -3y^5 3. write the polynomial in standard form. then name the polynomial based on its degree and number of terms. 6 - 12x + 13x^2 - 4x^2 (a). 9x^2 - 12x; quadratic binomial (b). 9x^2 - 12x + 6; quadratic trinomial (c). -3x^2 + 6; quadratic binomial (d). 9x^2 - 12x - 6; cubic trinomial 4. a biologist studied the populations of common guppies and endler s guppies over a 6-year

Step-by-step answer

P Answered by Specialist

10

1. Ans: Option (B) -6x^4

Explanation:
Given: 2x^4 - 8x^4

Take the common out:
=> x^4(2 - 8)

Hence: =>

[/tex] (Option B)

2. Ans: Option (D) -3y^5

Explanation:
Given: 6y^5 - 9y^5

Take the common term(s) out:
=> y^5(6-9)

Hence: =>

(Option D)

3. Ans: Option (B) 9x^2 - 12x + 6

quadratic trinomial

Explanation:
Given: 6 - 12x + 13x^2 - 4x^2

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> 13x^2 - 4x^2 - 12x + 6

=>

(Option B)

4. Ans: Option (C) 7.3x^2 + 0.8x + 1.3

Explanation:
In order to find the total number of Common and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

Common guppies: 3.1x^2 +6.0x + 0.3

Endler's guppies: 4.2x^2 - 5.2x + 1.0

(add both)
-----------------------------------------------------------------
Total number: 7.3x^2 +0.8x + 1.3

-----------------------------------------------------------------
Hence the ans is Option(C) 7.3x^2 + 0.8x + 1.3

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = 266x^2

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = 266x^2

- $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) 56x^2

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = 60x^2

Now the area of the stadium:
Area of the stadium = 1x * 4x = 4x^2

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= 60x^2

-

=> Final area of the lot = 56x^2

(Option A)

-i

Mathematics

What is the sum or difference? 1. 2x^4 - 8x^4 (a). -6x^8 (b). -6x^4 (c). -16x^4 (d). -16x^8 what is the sum or difference? 2. 6y^5 - 9y^5 (a). -3y^10 (b). 15y^5 (c). -54y^5 (d). -3y^5 3. write the polynomial in standard form. then name the polynomial based on its degree and number of terms. 6 - 12x + 13x^2 - 4x^2 (a). 9x^2 - 12x; quadratic binomial (b). 9x^2 - 12x + 6; quadratic trinomial (c). -3x^2 + 6; quadratic binomial (d). 9x^2 - 12x - 6; cubic trinomial 4. a biologist studied the populations of common guppies and endler s guppies over a 6-year

Step-by-step answer

P Answered by Specialist

10

1. Ans: Option (B) -6x^4

Explanation:
Given: 2x^4 - 8x^4

Take the common out:
=> x^4(2 - 8)

Hence: =>

[/tex] (Option B)

2. Ans: Option (D) -3y^5

Explanation:
Given: 6y^5 - 9y^5

Take the common term(s) out:
=> y^5(6-9)

Hence: =>

(Option D)

3. Ans: Option (B) 9x^2 - 12x + 6

quadratic trinomial

Explanation:
Given: 6 - 12x + 13x^2 - 4x^2

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> 13x^2 - 4x^2 - 12x + 6

=>

(Option B)

4. Ans: Option (C) 7.3x^2 + 0.8x + 1.3

Explanation:
In order to find the total number of Common and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

Common guppies: 3.1x^2 +6.0x + 0.3

Endler's guppies: 4.2x^2 - 5.2x + 1.0

(add both)
-----------------------------------------------------------------
Total number: 7.3x^2 +0.8x + 1.3

-----------------------------------------------------------------
Hence the ans is Option(C) 7.3x^2 + 0.8x + 1.3

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = 266x^2

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = 266x^2

- $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) 56x^2

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = 60x^2

Now the area of the stadium:
Area of the stadium = 1x * 4x = 4x^2

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= 60x^2

-

=> Final area of the lot = 56x^2

(Option A)

-i

Mathematics

Which expression is not a polynomial? a. 3x^3+5x-4b. (2/5) x-7c. 5d. 3^(1/2)+5which answer expresses the polynomial in standard form? 12x^3+5+5x^2-6x^2-3x^3-9-x a. 9x^3-x^2-x+45b. 9x^3+x^2-x-2c. 9x^5-x^2-x-4d. 9x^3-x^2-x-4which expression is equivalent to this expression? [4x^2-4x+5] - [3x^2-6x+2]a. 12x^2-10x+7b. x^2-2x+3c. x^2+2x+3d. x^2-10x+7which expression is equivalent to (2x-3) (5x+4)a. 10x^2-12b. 10x^2-7x-12c. 10x^2+23x+12d. 7x^2-2x+1which expressions represents the area of the rectangle? (2h-1) and 4h+3a. 8h^2-3b. 6h+2c. 8h^2+2h-3d. 8h^2-2h+3which

Step-by-step answer

P Answered by Specialist

2

1) D

2) D

3) C

4) B

5) C

6) A

7) C

Step-by-step explanation:

1) A polynomial contains integral positive degrees of x .

Though 5 does not contain x, we can take as x power 0

But 3^(1/2)+5 contains no x term, and an irrational term.

Hence option D

2) Grouping like terms and write in descending powers of x we get

d. 9x^3-x^2-x-4 is right answer

3) [4x^2-4x+5] - [3x^2-6x+2] = [4x^2-4x+5] - 3x^2+6x-2

= X^2+2x+3

So option c

4) By multiplication we get product as

B. 10x^2-7x-12

5) Rectangle area = length x width = (2h-1) (4h+3)

= 8h^2+2h-3

Option C

6) Take common factor b outside

Answer is a. 3b (2b^2+3b-4)

7) Use the identity a^2-b^2

C. (2x+5)(2x-5) is answer

Mathematics

Ineed as soon as possible! factoring quadratic 1. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. x^2 + 3x + 2 = 0 2. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. x^2 + x - 6 = 0 3. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. -2x^2 + 4x + 30 = 0 4. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. 3x^2 -15x + 18 = 0 5. solve the quadratic equation

Step-by-step answer

P Answered by Master

13

I will give you the answer to number 1.
(x+2) . (x+1)

How to solve:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2

Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3 .

-2 + -1 = -3 -1 + -2 = -3 1 + 2 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  2
                     x2 + 1x + 2x + 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x+1)
              Add up the last 2 terms, pulling out common factors :
                    2 • (x+1)
Step-5 : Add up the four terms of step 4 :
                    (x+2)  •  (x+1)

Mathematics

Ineed as soon as possible! factoring quadratic 1. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. x^2 + 3x + 2 = 0 2. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. x^2 + x - 6 = 0 3. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. -2x^2 + 4x + 30 = 0 4. solve the quadratic equation below by factoring. quadratic equations: solve by factoring method. 3x^2 -15x + 18 = 0 5. solve the quadratic equation

Step-by-step answer

P Answered by Master

13

I will give you the answer to number 1.
(x+2) . (x+1)

How to solve:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2

Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3 .

-2 + -1 = -3 -1 + -2 = -3 1 + 2 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  2
                     x2 + 1x + 2x + 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x+1)
              Add up the last 2 terms, pulling out common factors :
                    2 • (x+1)
Step-5 : Add up the four terms of step 4 :
                    (x+2)  •  (x+1)

Mathematics

Which is and isn t a polynomial 4/x^4+3/x^2-2/x^2-1 ^4√x-^3√x+4√x-8x+16 x^3-7x^2+9x-5x^4-20 x^5-5x^4+4x^3-3x^2+2x-1 3x^2-5x^4+2x-12 x^-5-5x^-4+4x^-3-3x^-2+2x^-1-1 First-person (only if there are 2 people obviously) will get brainliest

Step-by-step answer

P Answered by PhD

2

Number 3, 4, and 5 are polynomials

Step-by-step explanation:

Polynomials do not contain fractions as in expression 1 nor radicals as in expression 2.

Also they do not contain negative exponents as in expression 6.

Polynomials contain integer coefficients only.

Mathematics

Which is and isn t a polynomial 4/x^4+3/x^2-2/x^2-1 ^4√x-^3√x+4√x-8x+16 x^3-7x^2+9x-5x^4-20 x^5-5x^4+4x^3-3x^2+2x-1 3x^2-5x^4+2x-12 x^-5-5x^-4+4x^-3-3x^-2+2x^-1-1 First-person (only if there are 2 people obviously) will get brainliest

Step-by-step answer

P Answered by PhD

2

Number 3, 4, and 5 are polynomials

Step-by-step explanation:

Polynomials do not contain fractions as in expression 1 nor radicals as in expression 2.

Also they do not contain negative exponents as in expression 6.

Polynomials contain integer coefficients only.

Mathematics

Consider functions f and g below. f(x) = -9x^2 - 7x + 12 g(x) = 3x^2 - 4x - 15 find f(x) - g(x). a. -12x^2 - 11x - 3 b. 6x^2 - 11x + 27 c. -6x^2 + 3x - 3 d. -12x^2 - 3x + 27

Step-by-step answer

P Answered by PhD

19

D

Step-by-step explanation:

f(x) - g(x) = -9x^2 - 7x + 12 - (3x^2 - 4x - 15) Remove the brackets

f(x) - g(x) = -9x^2 - 7x + 12 - 3x^2 + 4x + 15

f(x) - g(x) = -9x^2 - 3x^2 - 7x + 4x + 12 + 15

f(x) - g(x) = -12x^2- 3x + 27

Answer D

Mathematics

Consider functions f and g below. f(x) = -9x^2 - 7x + 12 g(x) = 3x^2 - 4x - 15 find f(x) - g(x). a. -12x^2 - 11x - 3 b. 6x^2 - 11x + 27 c. -6x^2 + 3x - 3 d. -12x^2 - 3x + 27

Step-by-step answer

P Answered by PhD

19

D

Step-by-step explanation:

f(x) - g(x) = -9x^2 - 7x + 12 - (3x^2 - 4x - 15) Remove the brackets

f(x) - g(x) = -9x^2 - 7x + 12 - 3x^2 + 4x + 15

f(x) - g(x) = -9x^2 - 3x^2 - 7x + 4x + 12 + 15

f(x) - g(x) = -12x^2- 3x + 27

Answer D

3x^2 + 9x + 4x + 12

Step-by-step answer

Faq

Try asking the Studen AI a question.