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earnstyle [38]
3 years ago
5

Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. S

tep 1: 4 x − 3 − 2 x − 5 Step 2: 2 x − 8 C. Step 1: 4 x − 3 − 2 x − 10 Step 2: 2 x − 13 D. Step 1: 4 x − 3 + 2 x + 10 Step 2: 6 x + 7
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
6 0

Answer:

<em>Step 1: 4 x − 3 − 2 x − 10 </em>

<em>Step 2: 2 x − 13</em>

Step-by-step explanation:

Given the expression;

(4 x − 3) − 2 (x + 5)

The following steps/ procedure are to be taken when simplifying the expression.

open the parenthesis

(4 x − 3) − 2 (x + 5)

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

= 4x-3-2x-10

collect the like terms

= 4x-2x-3-10

simplify the resulting expression

= 2x-13

Hence the procedure that correctly simplifies the expression are:

Step 1: 4 x − 3 − 2 x − 10

Step 2: 2 x − 13

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Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


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For 200 tickets he had $700 in profit .


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We will use point slope form i.e.


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m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




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