Explain why 20 is not a square number.

Mathematics

1 answer:

Marizza181 [45]3 years ago

8 0

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.

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WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the m

Alecsey [184]

Answer:

The answer to this question can be defined as follows:

i) $\bold{p(x)= -5x^2+ 217x- 1,401} \\$

ii) x=22 units

iii) Maximum profit: 953.45

Step-by-step explanation:

Given value:

p(x) = 211 − 5x \\

C(x) = 1,401 + 16x

The formula for calculating the profit function value:

$\to \bold{P(x)= xp(x) - C(x)}$

$= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\$

The formula for calculating the value for maximum profit:

$p'(x) = - 10x + 217 =0$

$217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7$

So, the production level is 22 units

Maximum profit:

$\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\$

$=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45$

7 0

3 years ago

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the

zepelin [54]

If you mean 3(-x+1)+5:

There is a vertical stretch by a factor of 3. There is a reflection over the y axis. The graph moves left one unit and up by 5 units.

Hope this helps, and I provide an image in case it helps!