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Anettt [7]
3 years ago
7

I am not usre what the answer could be

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

x \le 5

Step-by-step explanation:

Given

Shape: Cube

Dimensions: x, 3x and 2x

Volume < 900

Required

Show that x \le 5

First, calculate the volume

Volume = x * 3x * 2x

Volume = 6x^3

Volume < 900 becomes

6x^3 < 900

Divide both sides by 9

x^3 < 150

For x^3 < 150, the value of x as to be: 1, 2, 3, 4 or 5

Hence:

x \le 5

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Given the functions f(x) = 2x -1 and g(x) =
Novosadov [1.4K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

  • f(x) = 2x - 1
  • g(x) =  2 - x

a)

f(x) + g(x) = (2x - 1) + (2 - x)

                = 2x -1 + 2 - x

                = x + 1

b)

f(x) - g(x) = (2x - 1) - (2 - x)

              = 2x - 1 - 2 + x

               = 3x - 3

c)

g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

g(x) = 2 - x

g(-5) = 2 - (-5) = 2+5 = 7

Putting x = -5 in f(x) = 2x - 1

f(x) = 2x - 1

f(-5) = 2(-5) - 1

       = -10 - 1

        = -11

Thus,

g(-5) - f(-5) = 7 - (-11) = 7+11 = 18

d)

f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2

e)

f(g(x)) = f(2-x)

          = 2(2-x)-1

          = 4-2x-1

          = 3-2x

6 0
3 years ago
The Hiking Club plans to go camping in a State park where the probability of rain on
Margarita [4]

Answer:

3/4 or 0.75

Step-by-step explanation:

4 0
3 years ago
NEED ANSWER ASAPPPPPP​
Oksana_A [137]
The volume is 1017.88
If you search up “how to solve a cone” you can get the same answer
6 0
3 years ago
Read 2 more answers
Item 5
Sedbober [7]

Answer: 300.3858/ maybe 300.385

Step-by-step explanation: 4 2/7 as decimal= 4.29 x (-18) = -77.22 x -3.89=  300.3858 (3.89 = decimal form of -3 8/9)  300.3858 x 1 = 300.3858

3 0
3 years ago
Henrietta buys twelve pounds of bananas and ten pounds of apples for $ 12 . Gustavo buys eight pounds of bananas and five pounds
Olegator [25]

Answer:

The price per pound of bananas is $0.5 and the price per pound of apples is $0.6

Step-by-step explanation:

Let

x -----> the price per pound of bananas

y -----> the price per pound of apples

we know that

12x+10y=12 -----> equation A

8x+5y=7 ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The intersection point is (0.5,0.6)

see the attached figure

therefore

The price per pound of bananas is $0.5

The price per pound of apples is $0.6

4 0
3 years ago
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