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andreev551 [17]
3 years ago
5

How many solution 6x-4 = x+6 has

Mathematics
2 answers:
natka813 [3]3 years ago
4 0

Answer:

1 solution

Step-by-step explanation:

This is a linear equation and has one solution

6x - 4 = x + 6 ( subtract x from both sides )

5x - 4 = 6 ( add 4 to both sides )

5x = 10 ( divide both sides by 5 )

x = 10 ← only 1 solution

Irina-Kira [14]3 years ago
3 0
6x-4 = x+6

Add 4 over
6x = x+10

Minus x over

5x = 10

X= 2

1 solution.
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Klio2033 [76]

|DF| = |DE| + |EF|

|DF| = 9x -36

|DE| = 47

|EF| = 3x+10

Substitute:

9x - 39 = 47 + 3x + 10

9x - 39 = 3x + 57     |+39

9x = 3x + 96    |-3x

6x = 96    |:6

x = 16

Put the value of x to the equation |EF| = 3x + 10

|EF| = (3)(16) + 10 = 48 + 10 = 58

Answer: |EF| = 58

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The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
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Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

C(x) = 0.02(x - 500)^2 + 6000

Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

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0.02 * 250000 = 5000

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Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are propor
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Given:

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Number of Students   :  7    14   21    28

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The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

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\dfrac{y}{x}=k

Here, k=5.

\dfrac{y}{x}=5

y=5x

Hence the rate of change is constant that is 5.

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Answer:

Step-by-step explanation:

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