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Vera_Pavlovna [14]
3 years ago
10

Given f(x) =7x-4, find the average rate of change over from x=2 to x=4.

Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

m = (f(4) - f(2)) / (4 - 2)

m = (24 - 10) / (4 - 2)

m = 14 / 2

m = 7

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What fraction makes this division<br> sentence true? <br> 2/3 divided by ? = 4
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Answer:

1/6

Step-by-step explanation:

The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.

2/3 x 6 = 4

So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.

The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.

(2/3)/(1/6) = 4

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4 years ago
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s
Svetlanka [38]

Answer: 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

Step-by-step explanation:

Given

Quadratic equation is

x^2-12x+15=0

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\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}

The solution set of the equation is 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

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its b

Step-by-step explanation:

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Step-by-step explanation:

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