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3 years ago

Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)?

Mathematics

2 answers:

artcher [175]3 years ago

5 0

Answer: Option 3.

Step-by-step explanation:

1. To simplify the expression shown in the problem, the first step is to apply the Distributive property, this means that you must multiply the number that are outside of the parentheses by the numbers inside of them.

2. Then, you have that the first step is:

$2x-3(x+2y)-5(y-7x)=2x-3x-6y-5y+35x$

3. Therefore, you can conclude that the correct answer is the third option.

viva [34]3 years ago

3 0

Answer:

2x - 3x - 6y -5y + 35x

Step-by-step explanation:

2x-3(x+2y)-5(y-7x)

We use order of operations PEMDAS

Lets start with parenthesis

We distribute -3 inside the parenthesis and Distribute -5 inside the parenthesis

2x - 3x - 6y -5y + 35x

combine like terms

-1x - 6y -5y + 35x

-1x - 11y + 35x

34x - 11y

first step is 2x - 3x - 6y -5y + 35x

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3. Sam and Tim each have savings accounts. Every month they each put in some of their

Setler [38]

Answer:

$y = 30x +50$ --- Sam

$y = 20x +80$ --- Tim

Step-by-step explanation:

Given

Sam Tim

х --- f(x) --------------- g(x)

1 --- 80 --------------- 100

2 --- 110 --------------- 120

3 --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,80)$

$(x_2,y_2) = (4,170)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{170 - 80}{4 - 1}$

$m = \frac{90}{3}$

$m = 30$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 80 = 30(x - 1)$

$y - 80 = 30x - 30$

Make y the subject

$y = 30x - 30 + 80$

$y = 30x +50$

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,100)$

$(x_2,y_2) = (4,160)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{160 - 100}{4 - 1}$

$m = \frac{60}{3}$

$m = 20$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 100 = 20(x - 1)$

$y - 100 = 20x - 20$

Make y the subject

$y = 20x - 20+100$

$y = 20x +80$

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Answer:

Step-by-step explanation:

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A number is divided by 18 the result is 20 what is the number<br>

Basile [38]

Answer:

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Step-by-step explanation:

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