What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?

Answers

Answer 1

Answer:

[tex]x^{4}[/tex] + 3x³ - 3x - 1

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width ) , thus

A = (3x² - 2x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, then

A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

   = 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms

   = [tex]x^{4}[/tex] + 3x³ - 3x - 1


Related Questions

A company policy requires that, for every 60 employees, there must be 3 supervisors. If there are 264 supervisors at the company, how many employees does the company have?
A.
2,640
B.
4,752
C.
5,280
D.
6,336

Answers

Step-by-step explanation:

3 supervisors = 60 employees

=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)

Jeremy can type 220 words in 4 minutes. That means he can type how many words per minute?​

Answers

Answer:

55

Step-by-step explanation:

220 divided by 4, is 55.

Do 220/4

That will give you your answer for words per minute.

Have a nice day!!!

Is this proportional???

Answers

Answer:

yes

Step-by-step explanation:

Pleaseee I need help

Answers

Answer:

32

Step-by-step explanation:

2x-16 + 4x+4 =180

6x=180+12

6x=192

x=32

I hope this helps, have a good day

Can somebody plz help answer both questions correct (only if u know how)

WILL MARK BRAINLIEST WHOEVER ANSWERS THEM FIRST.. promise :DD

Answers

divide the fraction like 4/5 and I'll give you decimal form and you could tell which one was bigger very quickly

I'LL GIVE BRAINLIEST!!

Answers

Answer: 3

Step-by-step explanation:

1. 2²=4

2. 4*5=20

3. 180/20=9

4. √9=3

Hope this helped :)

Answer:

x = 3

Choice 2

Step-by-step explanation:

180 = 2^2 * x^2 * 5

180 = 20x^2

9 = x^2

x = 3

Checking:

180 = 2^2 * 8^2 * 5

180 = 4 * 9 * 5

180 = 36 * 5

180 = 180

help asap I have 2 min

Answers

Number one I think I’m so sorry if I’m wrong !!
Hope this helped !

Lucia made a scale drawing of a game room. The pool table is 3 inches long in the drawing. The actual pool table is 9 feet long. What scale did Lucia use?
1 inch : _____feet

Answers

3 feet is equal to 1 inch if she measured 3 inches to equal 9 feet

What is the slope of the line represented by the following equation?
12x+3y=7
answer choices:
-1/4
-4
7/3
-12
Please ACTUALLY HELP ILL GIVE BRAINLIEST

Answers

Answer:

The slope of the line represented by the following equation is -4

y-intercept: −1

4(1-x)+2x=-3x+-3 I need helpppo

Answers

ANSWER= -7
BRAINLIEST please
Hello,

Answer is -7
Brainliest?

Do this please!!!!!!!

Answers

Answer:

The tides change as the three interact.

Step-by-step explanation:

When the sun, moon, and Earth are in alignment (at the time of the new or full moon), the solar tide has an additive effect on the lunar tide, creating extra-high high tides, and very low, low tides—both commonly called spring tides.

anybody knows the best way to get rid of a migraine or to make it feel better
it k1lls so bad it's so painful. don't say got to the doctor's cuz there medicine doesn't rlly help

Answers

Answer:

The best way to help is to get some water or get some sleep.It is either because you didn't get enough sleep or that you are dehydrated.

Step-by-step explanation:

Answer:

Drink a soda the instant you feel one coming on- sugar and caffeine tend to help.

If you can, try a good chiropractor- they can do adjustments that help with so many things including splitting headaches.

Try an OTC medicine.

sleep, dark, quiet, calm- try not to think too much and stay hydrated. maybe try carbonated water.

try to massage your neck yourself. it could help.

try to use a cold or a hot compress on your head.

Bananas. A tried and true natural headache reliever, bananas have potassium, magnesium, B vitamins, and complex carbohydrates, all components that contribute to headache relief.

The taste and smell of green apples have shown to help dim or lessen the intensity of migraines.

Hot packs and heating pads can relax tense muscles. Warm showers or baths may have a similar effect. Drink a caffeinated beverage. In small amounts, caffeine alone can relieve migraine pain in the early stages or enhance the pain-reducing effects of acetaminophen (Tylenol, others) and aspirin.

Step-by-step explanation:

avoid blue light from screens.

Terrence swims 0.75 miles at the community pool before school each morning. Some days, he also goes to the pool in the afternoon and swims another 0.5 miles. If Terrence swam 5 mornings and 3 afternoons this week, how many total miles did he swim?

Answers

Answer:

5.25 miles

Step-by-step explanation:

0.75*5=3.75

0.5*3=1.5

3.75+1.5=5.25

NEED HELP!!! ASAP last minute homework

Answers

The error is the sign of Inequality.

For Inequality, when the variable has negative coefficient, moving to another side would cause the Inequality symbol/sign to swap.

Therefore, from x>=-3 as it should be x<=-3

what is the radius of x?​

Answers

Answer:

To get the radius, divide the diameter by 2.

Answer:

to get the radius you have to divided the diameter by 2

Step-by-step explanation:

Please find the value of the x so that the function has the given value

f(x) = (-4/5)x+7 ; f(x) = 29

Answers

I wanna say x = 27.5

I need the answer ASAP no rocky

Answers

Answer:

u = -10

Step-by-step explanation:

Hope this helps! I pray that you get it right and that I get brainliest plzzzz. Thanks!!

MY TEACHER IS IGNORING ME! PLEASE HELP 10 POINTS !

Mai biked 6 3/4 miles today, and Noah biked 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?


Thanks in advance

Answers

Answer:

Tell ur teacher to stop ignoring you 23

Step-by-step explanation:

ur welcomw 32

Find the equation of the line
Use exact numbers
y=___x+____

Answers

y = -1.5x + 3 is the equation of the line

How to find the equation of the line?

The general form of the equation of a line is y = mx + b,

where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).

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

From the graph: x1 = 0, y1 =3 and x2 = 2, y2 = 0

m = (0-3)/(2-0) = -3/2 = -1.5

From the graph: b = 3

Therefore, the equation of the line is y = -1.5x + 3

Learn more about equation of a line  on:

https://brainly.com/question/18831322

#SPJ1

What is 80% of 80?!? Pls help ASAP

Answers

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

80% * 80 = 64

In a sample of 16 mini-golf balls, 6 are yellow and 10 are pink. If 2 balls are selected at random from the sample, one at a time without replacement, what is the probability that both balls are not pink?

Answers

Answer:

The probability is 1/8 that you'll pick 2 yellow balls.

Step-by-step explanation:

P(Both balls not pink) = P(Both balls yellow) = 6/16 * 5/15 = 1/8

PLEASEE HELPP ASAPP!!

Solve: -35/-7

A: 7
B: -7
C: 42
D: -42

Answers

Answer:

D.

Step-by-step explanation:

You see, this is simple division. Let's divide it.

-35/-7 = -42

_____________________

Don't let the other options confuse you. negative dividing is just the same as regular, just negative ^^

Determine whether the relation is a function. quick EMERGENCY I NEED HELP ​

Answers

Not a function.
It goes from -1=-4 to -1=-2

Help plz i’ll give extra points f

Answers

Answer: First Option | 2 x 10^1

Reason: After doing 6.4 divided by 3.2, you get 2, and finally you subtract 10³ by 10². And after that subtraction, you get 10^1, Therefore the answer is the first option.

I hope this helps, and Happy Holidays! :)

What value of p makes the equation true? -3x + 8 = -1/4
p=_

Answers

Answer:

p= 11/4

Step-by-step explanation:

What is the value of log: 3 3

Answers

Answer:

1

Step-by-step explanation:

Original price: $10 New price: $7

Answers

Answer:

what about it??

Step-by-step explanation:

Answer:

WHATS THE QUESTION

Step-by-step explanation:

IF YOU WERE WONDERING IT GOT DISCOUNTED BY 3$, OR 30%

The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).


What are the coordinates of the centroid of triangle ABC?

Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!

Answers

Answer:

(7 , 5)

Step-by-step explanation:

Add all the x-axis then divide by 3

7 + 3 + 11 = 21

21/3 = 7

Add all the y-axis then divide by 3

9 + 3 + 3 = 15

15/3 = 5

So answer will be (7,5)

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum o

The coordinates of the centroid is (7, 5).

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The vertices of the triangle in the diagram below are:

A(7,9), B(3,3), and C(11,3).

Now,

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum of the y-coordinates of the vertices ÷ 3

Now,

x = 7 + 3 + 11 / 3 = 21/3 = 7

y = 9 + 3 + 3 / 3 = 15/3 = 5

Now,

The coordinates of the centroid is (7, 5).

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

helppppppppppp pleaseeeeeee

Answers

Answer:

3 1/2  miles each practice

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

Estimate the value of y when x =2.5
Both of them

Answers

Step-by-step explanation:

[tex]y = {2.5}^{2} - 2(2.5) - 3 [/tex]

-1.75

Here we need to learn how to read a graph.

In a normal graph we have the inputs (the values of x) in the horizontal axis and the outputs in the vertical axis.

Here we want to see what is the value of y for the blue graph when x = 2.5

We will find y = -1.5

(the blue graph is the one that corresponds to: y = x^2 - 2x - 3)

To find this:

The first thing we need to do is find x = 2.5 in the horizontal axis.

Now that we found it, we need to draw a vertical line, and see at which point of the blue graph this vertical line intersects the curve. At that point we draw an horizontal line that intercepts the vertical axis.

At that point we have the y-value

You can see an example of this, a good estimation by only looking at the graph is y = -1.5

For the other point, the value of x when y = 1.

We do exactly the same thing but in the inverse order, we first find y = 1

Then we draw an horizontal line that intercepts the graph

Then we draw a vertical line that intercepts the x-axis and we find the value.

We can see that for y = 1 we have x = 3.2 aprox.

If you want to learn more you can read:

https://brainly.com/question/16781210

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