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3 years ago

What is the following product?

Mathematics

1 answer:

KiRa [710]3 years ago

5 0

ANSWER

$2 \sqrt{42} +7 \sqrt{2}- 6- \sqrt{21}$

EXPLANATION

The given product is:

$( \sqrt{14} - \sqrt{3} )( \sqrt{12} + \sqrt{7} )$

We expand using the distributive property to obtain:

$\sqrt{14}( \sqrt{12} + \sqrt{7}) -\sqrt{3}( \sqrt{12} + \sqrt{7} )$

Extract the perfect squares to get:

$\sqrt{14}(2 \sqrt{3} + \sqrt{7}) -\sqrt{3}( 2\sqrt{3} + \sqrt{7} )$

Expand further to get;

$2 \sqrt{42} +7 \sqrt{2}- 2(3) - \sqrt{21}$

This simplifies to,

$2 \sqrt{42} +7 \sqrt{2}- 6- \sqrt{21}$

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3 years ago

In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number of seats is no more than 50 in

AleksandrR [38]

Answer:

a. 65 seats

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Step-by-step explanation:

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we cannot equal to 0 the first function that is equal to 0, because it would be inconsistent, therefore we equal the second function to 0:

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0.2 * x = - 13

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Therefore 65 seats are needed to maximize profit

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3 years ago

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Answer:

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