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Viefleur [7K]
3 years ago
12

Find the greatest common factor

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

(3b + 4) is the greatest common factor

Step-by-step explanation:

3b(2b- 3)+4(2b-3) = 0 \\  {6b}^{2}  - 9b + 8b - 12 = 0 \\  {6b}^{2}  - b - 12 = 0 \\  {6b}^{2}  - 9b  + 8b - 12 = 0 \\ 3b(2b - 3) + 4(2b - 3) = 0 \\ (2b - 3)(3b + 4) = 0

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Answer:

19.51

Step-by-step explanation:

4 0
3 years ago
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Choose a positive number. Using this number as the base, evaluate it when the exponent is 3, 0, and -2. Show all work.
serious [3.7K]
Step by step explaination:
Positive number = 5
When Exponent is 3, it equals: 125
When exponent is 0, it equals: 1
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A can in the shape of a cylinder has a diameter of 10 cm and a height of 6 cm. how much wrapping paper is needed to cover the cy
Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

To determine the amount of wrapping paper needed to cover the can, we would determine the total surface area of the cylindrical can. The formula for determining the total surface area of a cylinder is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Diameter = 10 cm

Radius = diameter/2 = 10/2

Radius = 5 cm

Height = 6 cm

Therefore,

Total surface area = (2 × 3.14 × 5²) + (2 × 3.14 × 5 × 6)

= 157 + 188.4 = 345.4 cm²

345 cm² of wrapping paper is needed to cover the cylinder.

2) Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

3 × Volume of cone = πr²h

The volume of the cylinder is 3 times greater than the volume of the cone. Therefore, the volume of the cone is 1/3 times lesser than the volume if the cylinder.

5 0
3 years ago
Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .
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Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)
5 0
2 years ago
The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number.?​
puteri [66]

Answer:

let the number be x

(5x-3) + (x+9)=24

6x +6= 24

6x=18

x=3

The number is 3

Step-by-step explanation:

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3 years ago
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