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yanalaym [24]
3 years ago
9

A rectangular box is twice as long as it is wide. The height of the box is 3 feet less than the width. If the box is x feet wide

, what polynomial represents its volume in cubic feet?
A)4x-3
B)2x^3+6^2
C)2x^2-6x
D)2x^3-6x^2
Mathematics
2 answers:
Xelga [282]3 years ago
8 0
In order to get the volume of a rectangular box, the formula would be V = LxWxH.
So given that Length L = 2w
H = 3-w
W = x
Let x be the width, so it will look like this.
V = (2x)(x-3)(x)
Multiply these and we will get 2x^3-6x^2.
Therefore, the answer would be option D. Hope this answer helps. Let me know if you need more help next time.
maw [93]3 years ago
8 0

Answer:

V=2x^3-6x^2

D is the correct option.

Step-by-step explanation:

The width of the box is x feet.

Height of the box is 3 feet less than the width.

Hence, height = x - 3

Now, box is twice as long as it is wide.

Length = 2x

Volume of the box is given by

Volume = length × width × height

Substituting the known values,

V = 2x(x)(x-3)

On simplifying, we get

V=2x^2(x-3)\\V=2x^3-6x^2

Hence, D is the correct option.

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a shopper 48 hot dogs the store sells identacal ht dogs in two diffrent sized packets the sell a six pack of hot dogs for 2.10 a
seraphim [82]

Answer:

The shopper should but the 6 pcs pack because its cheaper.

Step-by-step explanation:

6-pcs pack = $2.10

hot dogs needed = 48

number of 6 pcs = 48 divided 6 = 8

total cost = $2.10 x 6 = $16.80

8 pcs pack = $3.12

hot dogs needed = 48

number of 8 pcs packs = 48 divided 8= 6

total cost = $3.12 x 6 =$18.72

hope it helps :)

8 0
3 years ago
Which graph shows a linear function? ​
Stolb23 [73]

Answer:

Step-by-step explanation:

You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.

Please go back to the source of  your question and describe the other graphs that were given to you.

The graph that shows a straight line is the linear function.

4 0
3 years ago
Brainly!
bezimeni [28]

Answer:

1/15

Step-by-step explanation:

There are a total of 10 fruits, 3 of which are apples.

The probability that the first selection is an apple is 3/10.

There are now 9 fruits remaining, 2 of which are apples.  So the probability that the second fruit is an apple is 2/9.

The total probability is (3/10) (2/9) = 1/15.

5 0
2 years ago
Given f(x) = 2(4 – x)2, what is the value of F(15)? Record your answer and fat in the bubbles on your anser document​
kari74 [83]

Answer:

f(15) = 242

Step-by-step explanation:

Step 1: Define

f(x) = 2(4 - x)²

f(15) = x = 15

Step 2: Substitute and Evaluate

f(15) = 2(4 - 15)²

f(15) = 2(-11)²

f(15) = 2(121)

f(15) = 242

6 0
3 years ago
Solve this system of equations without graphing and show your reasoning
Drupady [299]

Answer:

x = 1/5

y = 6

Step-by-step explanation:

System:

{5x + y = 7

{20x + 2 = y

First equation:

5x + y = 7 -> y = -5x + 7

Plug into second equation:

20x + 2 = -5x + 7

Subtract 2 from both sides:

20x = -5x + 5

Add 5x to both sides:

25x = 5

Divde both sides by 25:

x = 5/25 -> 1/5

~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Come back to the first equation:

5x + y = 7

Plus in our x:

5(1/5) + y = 7

Multiply:

1 + y = 7

Subtract 1 from both sides:

y = 6

Hope this helps, have a nice day! :D

7 0
2 years ago
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