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vampirchik [111]
3 years ago
13

The graph of a polynomial is shown below. At which value of x does this

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0
I believe the answer is D
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Can someone tell me the answer
Rzqust [24]

Answer:

A. 9/25

Step-by-step explanation:

There are a total of 25 T-shirts, which means that the denominator of the fraction is going to be 25 (which already rules out B and C). In the information they give us, they said that there are 9 red shirts. Therefore, the numerator will be 9. Our complete fraction is 9/25, or A.

I hope this helps! Have a lovely day!! :)

3 0
2 years ago
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Three fences on a ranch measure 15/16 miles 7/8 miles and 7/16 miles which is the best estimate of the total length of all three
gizmo_the_mogwai [7]
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6 0
3 years ago
Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
Vikki [24]

Answer:

Height: 3/2 inches

Length:  12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

  • The new length of the cardboard = 15 -2x (because we cut from 4 corners)
  • The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = 4x^3 -44x^2 +105x

To maximum volume, we use the first derivative of the volume

\dfrac{dV}{dx} = 0

<=> 12x^2-88x+105=0

<=> \left(2x-3\right)\left(6x-35\right) = 0

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

\dfrac{d^2V}{dx^2} = 24x -88

  • If  x = 3/2, we have:

\dfrac{d^2V}{dx^2}= 24(3/2) -88  = -52

  • If x = 35/6, we have:

\dfrac{d^2V}{dx^2} = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0
3 years ago
Write as an improper fraction 7 2/5
Nana76 [90]

Answer:

37/5

Step-by-step explanation:

4 0
3 years ago
The new apartment you are about to sign a one-year lease on is $1,500 per month. The lease
slamgirl [31]

Answer:

The new apartment you are about to sign a one-year lease on is $1,500 per month. The lease

requires you to put up first month's rent and a $750 security deposit to move in. In addition,

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3 years ago
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