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3 years ago

A survey of 350 people found 150 like birds. 170 like squirrels and 30 like both animals. How many like neither?

Mathematics

1 answer:

Arada [10]3 years ago

8 0

Answer:

Step-by-step explanation:

150 + 170 + 30 = 350

170 + 30 = 200

200 + 150 = 350

Hope this helps! :)

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CAN SOMEONE PLEASE HELP ME???

Varvara68 [4.7K]

Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

m=(y2-y1)/(x2-x1)

=(-1-7)/(-3-1)

=-8/-4

5 0

2 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

Given f ( x ) = 1 x + 10 , find the average rate of change of f ( x ) on the interval [ 8 , 8 + h ] . Your answer will be an exp

son4ous [18]

Answer: 1

Step-by-step explanation:

$f(8+h)=8+h+10=18+h\\\\f(8)=8+10=18$

So, the average rate of change is:

$\frac{(18+h)-18}{(8+h)-8}=\frac{h}{h}=\boxed{1}$

The question is wrong, the expression will not be in terms of h since it is a linear function.

6 0

2 years ago

Maria has 14 pencils, Ted has 9 pencils, Tom has 12, pencils, Lucinda has 13 pencils, so that they all have the same amount? How

Nina [5.8K]

Answer:

I say 12, but i can be wrong.

Step-by-step explanation:

6 0

3 years ago

Three boards are placed end to end to make a walkway. The first board is 4 feet inches 10 long, the second board is 2 feet 11 in

Strike441 [17]

Answer:

12 ft 2 in.

Step-by-step explanation:

Conversion: 1 ft = 12 in.

Add the lengths of the boards.

4 ft 10 in. + 2 ft 11 in. + 4 ft 5 in. =

= 4 ft + 2 ft + 4 ft + 10 in. + 11 in. + 5 in.

= 10 ft + 26 in.

= 10 ft + 24 in. + 2 in.

Since 1 ft = 12 in., then 24 in. = 2 ft.

= 10 ft + 2 ft + 2 in.

= 12 ft 2 in.

5 0

1 year ago

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