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kogti [31]
4 years ago
12

How many solutions does the equation 3x − 7 = 4 + 6 + 4x have

Mathematics
2 answers:
Sunny_sXe [5.5K]4 years ago
8 0

Answer:

The given equation 3x − 7 = 4 + 6 + 4x has one solution.

Step-by-step explanation:

Given : Equation 3x − 7 = 4 + 6 + 4x

We have to find the number of solutions of the given equation.

Consider the given equation 3x − 7 = 4 + 6 + 4x

Simplify, we have,

3x − 7 = 10 + 4x

Now subtract 3x both side, we hvae,

-7 = 10 + 4x - 3x

Simplify, we have,

- 7 = 10 + x

Subtract 10 both side, we have,

-7 - 10 = x

x = - 17

Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.

Sedbober [7]4 years ago
3 0
3x-7=4+6+4x \\
3x-7=10+4x \\
3x-4x=10+7 \\
-x=17 \\
x=-17

One solution.
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5 0
3 years ago
There are 43 tiles in a bag. The colors are red, blue, green and yellow. Find the
ololo11 [35]

Answer:

43/13, 129/26, 129/13, 645/26

Step-by-step explanation:

Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:

w + x + y + z = 43    (1)

x = 3/5(w + x)

2x/5 = 3w/5

x = 3/2(w)  

x = 5w/2 - w = 3w/2  (2)

y = 2/3(x + y)

y/3 = 2x/3

y = 2x = 2(3w/2) = 3w    (3)

z = 5/7(y + z)

2/7(z) = 5y/7

z = 5y/2 = 5(3w)/2 = 15w/2   (4)

substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:

w + 3w/2 + 3w + 15w/2 = 43

13w = 43

w = 43/13

x = 129/26

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5 0
3 years ago
Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

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 AVR = \frac{115 - (-5)}{10 - (-2)}

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 the average rate of change of the function defined by the table is:

 AVR = 10

6 0
3 years ago
How do i convert 30270000 into scientific notation
Anna [14]

Answer

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I'm not the best at explaining but here is my attempt

You start with 30270000 you write the first number which is 3 then put a decimal and then put the rest of the numbers until the rest of the numbers are zeros..


3.027

Then put a × 10^

3.027 × 10^

And then the original number's digit count minus 1 is the number so 0270000 is 7 digits so the answer is

3.027 × 10^7


Sorry i'm horrible at explaining

4 0
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