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ElenaW [278]
3 years ago
9

Find two consecutive whole numbers such that the sum of their squares is 221.

Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0
n^2+(n+1)^2=2n^2+2n+1=221
2n^2+2n=220
n^2+n=110
n^2+n-110=0
(n-10)(n+11)=0\implies n=10,n=-11

But since n must be a whole number, we ignore n=-11. So the two integers are n=10 and n+1=11.
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Mark sold x pens for $2 each. He received less than $80 from the sale. Find the greatest possible number of pens he sold
Crank
$80-$2= $78 is the number less than $80, since the pens cost $2

78/2= 39 pens is the greatest number of pens sold

hope this helps
6 0
3 years ago
Read 2 more answers
A function is given. g(x) = 6 x ; x = 1, x = a. determine the net change between the given values of the variable.
Pavlova-9 [17]

The net change between the given values of the variable is 6a - 6

<h3>How to determine the net change between the given values of the variable?</h3>

The given parameters are

g(x) = 6x

Where

x = 1 and  x =a

Calculate g(1) and g(a)

So, we have

g(1) = 6 * 1

g(1) = 6

g(a) = 6 * a

g(a) = 6a

The net change between the given values of the variable is

Change = g(a) - g(1)


So, we have

Change = 6a - 6

Hence, the net change between the given values of the variable is 6a - 6

Read more about functions at:

brainly.com/question/1415456

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5 0
1 year ago
The algebraic form of an arithmetic sequence is 5n-2<br>a) What is its common difference?​
Alexxandr [17]

Answer:

5

Step-by-step explanation:

[math]

U_{n} = 5n - 2 \\

Common Difference = U_{n+1} - U_{n} \\

= [5(n + 1) - 2] - [5n - 2] = [5n + 5 - 2] - [5n - 2]\\

= 5n + 5 - 2 - 5n + 2\\

= 5

[/math]

5 0
2 years ago
Plsss help me !!!!
Yuri [45]

Answer:

The enrollment after 5 years is 10,724

Step-by-step explanation:

Generally, we can have the depreciation formula written as follows;

A = P(1 - r)^t

A is the number of enrollment in after a certain number of years t

P is the initial population which is 13,500

r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045

t = 5 years

Substituting these values, we have it that;

A = 13,500(1-0.045)^5

A = 10,723.84

4 0
2 years ago
Given the measures of three angles of a triangle, explain how to find the ratio of the lengths of two sides of the triangle.
pantera1 [17]

You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.

8 0
1 year ago
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