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disa [49]
2 years ago
6

The length of the box is x

Mathematics
1 answer:
Romashka [77]2 years ago
3 0

A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x

<h3>How to calculate the volume of a box</h3>
  • Length of box = x
  • Width of the box is 4 inches less than the length. Thus; width = x - 4
  • Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5

Now, the formula for volume of a box is;

V = length × width × height

Thus;

V = x • (x - 1) • (x - 5)

V = x(x² - x - 5x + 5)

V = x(x² - 6x + 5)

V(x) = x³ - 6x² + 5x

In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x

Read more on volume of a box at; brainly.com/question/15532376

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Maggie graphed the image of a 90° counterclockwise rotation about vertex A of △ABC. Coordinates B and C of △ABC are (2, 6) and (
Vitek1552 [10]

Answer:

  A(2, 2)

Step-by-step explanation:

I find it useful to graph the given points. The center of rotation is at the place where the perpendicular bisectors of BB' and CC' meet. That point is ...

  A =  (2, 2).

__

The graph shows you the slope of BB' is 1, so its perpendicular bisector will have a slope of -1. The midpoint of BB' is (2-2, 6+2)/2 = (0, 4). This is the y-intercept of the line, so the perpendicular bisector of BB' has equation ...

  y = -x +4

The slope of CC' is -1/3, so its perpendicular will have a slope of -1/(-1/3) = 3. The midpoint of CC' is (4+1, 3+4)/2 = (5/2, 7/2). In point-slope form the equation of the perpendicular bisector of CC' is ...

  y -7/2 = 3(x -5/2)

  2y -7 = 3(2x -5) . . . . multiply by 2

  2(-x+4) -7 = 3(2x -5) . . . substitute for y

  -2x +1 = 6x -15 . . . . .eliminate parentheses

  16 = 8x . . . . . . . . . . add 2x+15

  x = 2 . . . . . . divide by 8

  y = -2+4 = 2 . . . . from the equation for y

The intersection of the perpendicular bisectors of BB' and CC' is the center of rotation:

  A = (2, 2)

8 0
3 years ago
Prove that the two circles shown below are similar.
aniked [119]

Answer:

Step-by-step explanation:

8 0
2 years ago
The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax,
stich3 [128]

Answer:  

Here, The price of one box having N markers = Price of N markers + packaging charge

Let M be the price of one Marker and P' be the price of packaging of one box which is same for any size.

Since, The price of a box of 15 cloud markers is $12.70.

That is , 15 M + P' = 12.70 ---------(1)

Also,  The price of a box of 42 cloud markers is $31.60,

That is, 42 M + P' = 31.60 ---------(2),

Equation (2) - Equation (1),

27 M = 18.90,

⇒ M = 0.7

By putting the value of P in equation (1),

We get,

10.5 + P' = 12.70 ⇒ P' = 2.2,

Thus, the price of one marker, M = 0.7

And, the price of packaging one box, P' = 2.2

Thus, the price of a box of 50 marker = 50 × M + P' = 50×0.7 + 2.2 = 35 + 2.2 = $ 37.2

And, the equation that shows the price(P) of a box of N markers,

P = 0.7 N + 2.2

3 0
3 years ago
Read 2 more answers
What’s the product of 1.5% of 67,200
Blizzard [7]

Answer:

1008

Step-by-step explanation:

Its easy, just multiply 67,200 by 1.5%, or 1.5*0.01 which is 0.015. 62700 * 0.015 equals 1008

5 0
2 years ago
A football team loses a total of 12 yards in 4 plays. On average how many yards did the team move the ball per play?
HACTEHA [7]

The team moved the ball -3 yards per play.

Step-by-step explanation:

Given,

Total yards lost = 12 yards

Total plays = 4 plays

As the yards are lost, therefore, we will use negative sign.

Yards per play = \frac{Number\ of\ yards}{Number\ of\ plays}

Yards per play = \frac{-12}{4}

Yards per play = -3

The team moved the ball -3 yards per play.

Keywords: division, unit rate

Learn more about division at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

8 0
3 years ago
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