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3 years ago

Solve the radical equation q-6=√27-2q

Mathematics

1 answer:

rewona [7]3 years ago

5 0

q - 6 = sqrt(27 - 2q)

Squaring both sides:-

(q - 6)^2 = 27 - 2q

q^2 - 12q + 36 = 27 - 2q

q^2 - 10q + 9 = 0

(q - 9)(q - 1) = 0

so there are 2 solutions q = 1 and q = 9.

Testing to see if the solutions are not extraneous:-

q = 9:-

9 - 6 = 3

sqrt(27-18) = 3 So q = 9 is a solution (answer)

q = 1

q - 6 = -5

sqrt (27 - 2) = sqrt 25 = -5 so q = 1 is also an answer

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bazaltina [42]

Answer:

Therefore the value of given expression when r = 14 and s = 8 is

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=11$

Step-by-step explanation:

Given:

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s$

To Find:

Value of above equation when r = 14 and s = 8

Solution:

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s$ .............Given

Put,

$r=14\\s=8$

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=\dfrac{3}{7}\times 14 + \dfrac{5}{8}\times 8$

Now 7 × 2 = 14 and 8 will cancel each other we get

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=3\times 2 + 5=6+5=11$

Therefore the value of given expression is

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=11$

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3 years ago

In Ophiuchus Corporation, 60% of the total revenue R is devoted to the advertising budget. Five-sixths of this advertising budge

pickupchik [31]

Answer: R/2 (A)

Step-by-step explanation:

In Ophiuchus Corporation, 60% of the total revenue R is allocated to the advertising budget. This will be

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Five-sixths of this advertising budget was spent on television advertising. This means 5/6 of 3R/5.

= 5/6 × 3R/5

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The dollar amount spent on television advertising is R/2.

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3 years ago

It is an A. B. C. D. question thanks. :-)

Studentka2010 [4]

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4 years ago

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Nezavi [6.7K]

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4 years ago

According to the National Association of Realtors, the mean sale price for existing homes in the United States in 2011 was $214,

Free_Kalibri [48]

<h3>Answer: 49.85% (second answer choice)</h3>

===========================================

Explanation:

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sigma = 41000 = population standard deviation of home values

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In terms of an equation, this means P(-3 < Z < 3) = 0.997 approximately.

Cut 99.7% in half to get (99.7%)/2 = 49.85%

So, P(-3 < Z < 0) = 0.4985 approximately.

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3 years ago