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kirza4 [7]
3 years ago
5

Simplify 3(4 x + 6) - 9 x.

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

Answer:

the answer is B

Step-by-step explanation:

(12x + 18) - 9x

12x - 9x + 18

3x + 18

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yanalaym [24]
This one is D.

The y-intercept has to be below 20 and the slope has to be above 1.
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2 years ago
Help please asap
padilas [110]
These are 2 questions and 2 answers:

<span>1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x  -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show  you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x  -14 ]
----------------------
         5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
              5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
              5

5) factor the numerator using 5x as common term of the two binomials:

(5x  ) ( 5x   ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7)  <---> two numbers that add up - 3 and their product is  - 70

=>

(5x - 10)(5x + 7)
---------------------
         5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)


2. Question 2.  The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: </span><span><span>option C. (2x + 5)(3x - 4)</span>

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
              6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
           6

(6x + 15)(6x - 8)
---------------------- =
        3.2

(6x + 15)      (6x - 8)
------------- .  ------------ =
      3                2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)</span>
6 0
3 years ago
5. Simplify the expression,<br> (-2 - 5i) - (-4+6i)<br> 2 - 11i<br> -2+i<br> -6 + 11i<br> -5i
monitta

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's simplify ~

\qquad \sf  \dashrightarrow \:( - 2 - 5i) - ( - 4 + 6i)

\qquad \sf  \dashrightarrow \: - 2 - 5i +  4  -  6i)

\qquad \sf  \dashrightarrow \: - 2 +  4   - 5i-  6i)

\qquad \sf  \dashrightarrow \:2 - 11i

Therefore, A is the Correct choice !

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Answer:

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EXPLANATION:

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