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Slav-nsk [51]
2 years ago
4

The sum 2n3 + 4n2 - 7 and -n3 + 8n - 9

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0
(2n³ + 4n² - 7) + (-n³ + 8n - 9)
(2n³ - n³) + 4n² + 8n + (-7 - 9)
n³ + 4n² + 8n - 16
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Drag each equation show if it could be a correct first step to solving the equation. 4(3+x)=36.
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

4(3+x)=36

4*3+4*x=36

12+4x=36

4x=36-12

4x=24

x=6

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2 years ago
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Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in
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The answer is 432.4 gallons divided by 4 from which the answer is 108.1...
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When comparing prices for activities at a local recreation center, you notice that the center charges different prices on differ
Brut [27]
Riding a go-kart costs $10 on Saturday and Sunday and $5 on Monday through Friday.
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2 years ago
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A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

V = s^2h = 5324

h = 5324 / s^2

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top s^2

Side area 4sh

Total surface area A = s^2 + 4sh

We can substitute h = 5324 / s^2

A = s^2 + 4s\frac{5324}{s^2}

A = s^2 + 21296/s

To find the minimum of this function, we can take the first derivative, and set it to 0

A' = 2s - 21296/s^2 = 0

2s = 21296/s^2

s^3 = 10648

s = \sqrt[3]{10648} = 22

h = 5324 / s^2 = 5324 / 22^2 = 11

4 0
2 years ago
A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost.
yKpoI14uk [10]

Answer:

a)

We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.

First, let's find how much costs each shirt.

First, the total cost of the shirts alone (neglecting the flat-rate) is:

$1,825 - $25 = $1,800

Then each shirt costs equal to the quotient of the cost and the number of shirts:

$1,800/150 = $12

Each shirt costs $12.

Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:

C(T) = $25 + T*$12

b) C represents the cost

   T represents the number of shirts ordered.

c) The initial value is the constant value, in this case, is $25

The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.

7 0
2 years ago
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