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Oduvanchick [21]
3 years ago
8

3 (bx - 2ab) = b (x - 7a) + 3ab solve for x

Mathematics
2 answers:
geniusboy [140]3 years ago
4 0
<span>       3(bx - 2ab) = b(x - 7a) + 3ab
<=> </span><span>3bx - 6ab = bx - 7ab + 3ab
<=> 3bx - bx   = 6ab - 7ab + 3ab
<=> 2bx          = 2ab
<=> x = a</span>
chubhunter [2.5K]3 years ago
3 0

Answer:

The value of x = a.

Step-by-step explanation:

Consider the provided equation.

3 (bx - 2ab) = b (x - 7a) + 3ab

Use the distributive property: a(b+c)=ab+ac

3bx - 6ab = bx - 7ab + 3ab

Now add the like variable.

3bx - 6ab = bx - 4ab

Subtract bx and add 6ab on both sides.

3bx - 6ab - bx + 6ab = bx - bx - 4ab + 6ab

2bx =  2ab

Divide both the side by 2b.

x = a

Hence, the value of x = a.

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3 years ago
Find the slope of the line that passes through 5,4 and -4,3
dolphi86 [110]

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1/9

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7 0
3 years ago
What is n in the equation 12 + 12n = -48
Liula [17]
Hello!

To solve an algebraic equation, you must isolate the variable on one side. We’ll begin by restating the given equation:

12 + 12n = -48

Now subtract 12 from both sides of the equation:

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We have now proven that “n” is equal to (-5).

I hope this helps!
3 0
3 years ago
The local softball field has a lemonade stand. The graph shows the amount of money in the cash register of the lemonade stand.
Alexxandr [17]

1.

<h3>The y-intercept</h3>

The y-intercept is $35.

The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.

So, from the graph, the y-intercept is $35.

2.

<h3>The meaning of y-coordinate</h3>

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

3.

<h3>The slope</h3>

The slope is 2.5

Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

From the graph, (x₁, y₁) = (3, 42.5) and (x₂, y₂) = (9, 57.5)

So, substituting these values into the equation for m, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (57.5 - 42.5)/(9 - 3)

m = 15.0/6

m = 2.5

The slope is 2.5

4.

<h3>Meaning of the slope</h3>

The slope represents the rate at which the lemonade is sold

Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.

The slope represents the rate at which the lemonade is sold

Learn more about straight-line graphs here:

brainly.com/question/14808962

8 0
2 years ago
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