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3 years ago

Please help confused?

Mathematics

2 answers:

coldgirl [10]3 years ago

8 0

All you've got to do is write an equation. EX 2n-1

Anit [1.1K]3 years ago

4 0

Answer:

Formula = 2n-1

Step-by-step explanation:

Given : Antonio uses the power of 2n to find the number of ways bits can be arranged. The n often stands for the number of bits. Millie, collects golden keys to help her in her quest.

To write : A formula to show that Millie can collect one less key than the highest number of bits that can be arranged in the system.

Number of bits =n

Highest number of bits =2n

One less key than the highest number of bits = 2n-1

Therefore, the formula he use = 2n-1

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Step-by-step explanation:

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2 years ago

Solve the system by substitution.<br> x = 9y<br> x-5y=20

storchak [24]

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3 years ago

Y = 4x + 3 how do you solve this

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3 years ago

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In a hospital ward, there are fifteen nurses and three doctors. Nine of the nurses and one of the doctors are female. If a perso

pshichka [43]

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3 years ago

Solve 5x^2 - 7x + 2 = 0 by completing the square.

Reika [66]

Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

$5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

$5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.$

So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$

Thus, the required solution is $x=1,~-\dfrac{2}{5}.$ and the value of the constant added is $\dfrac{49}{100}.$

Option (c) is correct.

3 0

3 years ago