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ryzh [129]
3 years ago
5

How do I Determine if ratios are equivalent

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Step-by-step explanation:

multiply the ratio by the second ratios second number

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Use the distributive property to simplify the equation below.
ziro4ka [17]

Answer: 16a + 32b  - 8c  

Step-by-step explanation:

8(2a + 4b - c ) = 16a + 32b  - 8c

Multiply 8 by 2a to get 16a

Multiply 8  by 4b to get 32b

Multiply 8 by -c or -1c  to get -8c

Put them together to get 16a + 32b - 8c

8 0
3 years ago
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garik1379 [7]

Answer:

x=14

Step-by-step explanation:

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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
Given f(x) = 4x - 6 and g(x) = f(2x), write an equation for g.
AysviL [449]

f(x)=4x-6

g(x) = f(2x)

Substitute 2x into the first equation, which you get

f(2x)=8x-6

<h2><u><em>So, g(x)=8x-6</em></u></h2>

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2 years ago
Whats 8 2.5% of 75?Write your answer as a decimal.​
Katena32 [7]
216 % hope this helps !!
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