2 years ago

What is the value of x for the inequality in the box? 3 ( x − 7 ) + 4 ≥ 22

Mathematics

1 answer:

serious [3.7K]2 years ago

7 0

Step-by-step explanation:

3(x-7) + 4 = 22

or,3x-21+4 = 22

or, 3x-17 = 22

or, 3x = 22+17

or, x = 39/3

x = 13

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Find the root of <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%20%7B%20%7D%5E%7B2%7D%20%7D%20%20%2B%20x%20%2B%20%20%5Csq

artcher [175]

Answer:

The root of x = -2 + √2

Step-by-step explanation:

Step(i):-

Given $\sqrt{2x^{2} } + x +\sqrt{2} = 0$

⇒ $\sqrt{2} } ( x^2 ) ^{\frac{1}{2} } + x +\sqrt{2} = 0$

⇒ $\sqrt{2}x + x +\sqrt{2} = 0$

⇒ $(\sqrt{2} + 1) x = - \sqrt{2}$

$x = \frac{-\sqrt{2} }{(\sqrt{2} + 1)}$

Step(ii):-

Rationalizing

$x = \frac{-\sqrt{2} }{(\sqrt{2} + 1)} X \frac{(\sqrt{2} - 1)}{(\sqrt{2} - 1)}$

Apply ( a-b ) ( a+b) = a²-b²

$x = \frac{-\sqrt{2}(\sqrt{2} -1) }{(\sqrt{2})^{2} - 1^{2} )} = \frac{-(2-\sqrt{2} }{2-1}$

The root of x = -2 + √2

6 0

3 years ago

What is 100,203 in expanded form.

slega [8]

100,000+ 200+3=100,203

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3 years ago

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Convert the metric measurement. 3,450 ml =____ L (1 L = 1000 ml)

Savatey [412]

Answer:

To convert ml to L you would divide your number by 1000, because 1L=1000ml

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3,450ml = 3.45L

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4 years ago

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Andrew [12]

Answer:

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Step-by-step explanation:

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3 years ago