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lora16 [44]
3 years ago
11

Simplify the expression square root of 6 times the square root of 33 plus 7

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0

Answer:

3√(22) + 7

Step-by-step explanation:

The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.  

<u>Number 1</u>

√(6) x √(33) + 7

= √(6 x 33) + 7

= √(198) + 7

= √(9 x 22) + 7

= 3√(22) + 7

<u>Number 2</u>

√(6) x √(33 + 7)

= √(6) x √(40)

= √(6) x (4√(10))

= 4√(60)

= 8√(15)

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The first step for solving this equation is to determine the defined range.
\frac{ x^{4}  }{x-1} = \frac{5}{x-1}, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
x^{4} = 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/- \sqrt[4]{5}
Separate the solutions.
x = \sqrt[4]{5}           , x ≠ 1
x = -\sqrt[4]{5} 
Check if the solution is in the defined range.
x = \sqrt[4]{5} 
x = -\sqrt[4]{5} 
This means that the final solution to your question are the following:
x = \sqrt[4]{5}          
x = -\sqrt[4]{5} 
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7 0
3 years ago
Parallelograms are four sided figures that have two pairs of opposite, parallel sides. Quadrilateral ABCD
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Answer:

(A) It would have to lie on AB because DC would rotate halfway around M. B would lie on D and A would lie on C.

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Step-by-step explanation:

8 0
2 years ago
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Please help me guys
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6 0
3 years ago
"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe
marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

\hat y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

\hat y=3.73 +0.88 x

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

\hat y=3.73 +0.88 x

  =3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0
3 years ago
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