All categories

3 years ago

(4n+4)(5n-8)

1 answer:

3 0

Hello there!

(4n + 4)(5n-8)
First,we need to distribute
(4n)(5n)+(4n)(-8)+(4)(5n)+(4)(-8)
20n² -32n + 20n - 32
20n² -12n - 32

Yes,you did it right. Good job!

You might be interested in

Use long division to convert the rational number to its equivalent decimal form. Upload a document showing all your work. 5/8

Hatshy [7]

Answer:

1.600

dont forget to press the crown:)

Step-by-step explanation:

We have the equation:

8 ÷ 5 = 1.600

Calculated to 3 decimal places.

1. 6 0 0

5 8. 0 0 0

− 5

3 0

− 3 0

0 0

− 0

0 0

− 0

7 0

3 years ago

Read 2 more answers

Ali receives a 10% pay

DiKsa [7]

Answer:

95.04 pounds

122.54 US dollars

Step-by-step explanation:

I had to do the math in US dollars first then turn it into pounds.

All you do is this

136.16 * -.10 (US dollars)

13.616(US) 10.56(pounds)

Subtract 13.616 from 136.16 to get

122.544 or 122.54 (US)

95.04(pounds)

It might be a bit confusing, but the answers are up top.

8 0

3 years ago

What are domain restrictions for this context

VikaD [51]

Answer:idk

Step-by-step explanation:I just got here

6 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

What is (f-g)(x)?<br><br> f(x)=x^4-x^2+9<br> g(x)=x^3+3x^2+12

sweet-ann [11.9K]

X^4 - x^2 + 9 - (x^3 + 3x^2 + 12) =

x^4 - x^3 - 4x^2 - 3

6 0

3 years ago