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3241004551 [841]

3 years ago

9

the perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer then the width, w . Write and solve an equa

tion to find the width of the rectangle

1 answer:

anygoal [31]3 years ago

3 0

The width of the rectangle is 8.2

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Without using technology, describe the end

victus00 [196]

Answer:

Up on the left, up on the right

Step-by-step explanation:

The given function is:

$f(x)=3x^{4}+8x^{2}-22x+43$

The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.

The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.

Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.

7 0

3 years ago

In how many ways could 12 people be

laila [671]

Step-by-step explanation:

There are total 12 People

Person 1, Person 2,3,4,5,6,7, 9, 10, 11 and 12 at a round table

12 Chairs: 1,2,3,4,5,6,7,8,9,10,11 and 12

Let chairs 1 and 2 be next to each other

Person 1 is at chair 1 and Person 2 is at chair 2

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can sit in 10! ways

Next, Person 1 and Person 2 change their positions;

Person 1 is sitting at 2 and Person 2 is sitting at 1

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can be rearranged in 10! ways

Therefore, total number of ways in which Person 1 and Person 2 are next to each other is: 2*10! = 7257600

As we then have to find in how many ways they are not sitting next to each other; subtract 7257600 from the total number of possible arrangements.

In circular permutation,

Total number of arrangements of n people = (n-1)!

Here the number of people is 12

Arrangement = (12-1)! = 11!= 39916800

Therefore, the number of ways Person 1 and Person 2 are not next to each other = 39916800 - 7257600 = 2659200

<em>Keywords: </em><em>permutation, combination</em>

<em> Learn more about permutation and combination from brainly.com/question/12953847</em>

<em> #learnwithBrainly</em>

8 0

3 years ago

Is 3 1/2 cups more or less than 1 liter? Explain or show your reasoning

IceJOKER [234]

3 1/2 is less because 1 liter in cups is 4.227

7 0

3 years ago

How do you find out the percentage of 55% of 140

qwelly [4]

I just found 10% of it, which is 14, then found 5% of it through the previous work, which is 7

then i multiplied 7 by 11, because 55/5 is 11, so 55% of 140 is 77

6 0

3 years ago

Read 2 more answers

Evaluate g(p)h(p) by modeling or by using the distributive property.

lana66690 [7]

Answer:

g(p)h(p) = = p^4 + 2p^3 - 8p^2 -2p + 4

Step-by-step explanation:

Hello!

We will use the distributive property:

g(p) h(p) = ( p - 2 ) * ( p^3 + 4p^2 - 2 ) = ( p^3 + 4p^2 - 2 ) * ( p - 2 )

The distributive property allow us to multiply the first term <em>(p^3 + 4p^2 - 2) </em>by every member of the second member, that is <em>p </em>and <em>-2.</em>

g(p) h(p) = ( p^3 + 4p^2 - 2 ) * p + ( p^3 + 4p^2 - 2 ) * (-2)

Now we can do the same for the two resulting terms, that is, we can multiply every term in parenthesis<em> ( p^3 + 4p^2 - 2 ) </em>by the term on the rigth:

( p^3 + 4p^2 - 2 ) * p = (p^3)*p + (4p^2)*p - 2*p = p^4 + 4p^3 -2p

( p^3 + 4p^2 - 2 ) * (-2) = (p^3)*(-2) + (4p^2)*(-2)- 2*(-2) = -2p^3 - 8p^2 + 4

And now we can sum both terms and add monomials with the same exponent of t. Look at the underlined terms

g(p) h(p) = p^4 + <em><u>4p^3</u></em><em> </em>-2p - <u>2p^3 </u>- 8p^2 + 4 = p^4 +<em><u>2p^3</u></em> -2p - 8p^2 + 4

= p^4 + 2p^3 - 8p^2 -2p + 4

3 0

3 years ago