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suter [353]
3 years ago
12

The difference of the square of a number and 18 is equal to 3 times that number. Find the positive solution.

Mathematics
2 answers:
taurus [48]3 years ago
4 0

hi

hi

hi

hi

hi

hi

hi

hi

hi

hi

hi

Ilya [14]3 years ago
3 0

Answer: x=6 or x=-3

Step-by-step explanation:

x^2-18=3x

x^2-3x-18=0

(x-6)*(x+3)=0

x-6=0    x+3=0

x=6        x=-3

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The length of a rectangle is measured as 370mm correct to 2 significant figures.
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Answer:

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A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
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Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

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