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3 years ago

How do you simplify a fraction?

Mathematics

1 answer:

attashe74 [19]3 years ago

5 0

You simplify a fraction by finding it's greatest common factor. A greatest common factor is what both numbers are divisible by. If they can both be divided by two, then you've simplified them a little bit. Keep going until you can't find a common number that can be divided by the two, and you've got your simplified fraction. For example, 10/5 = 1/2 since both 10 and 5 is divisible by 5.

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F(x)=4x2-3x+5 f(2) find function value

Dovator [93]

Hello!

This question is an example of function notation. Function notation is basically f(x) , said as "f of x". To solve this problem, you need to substitute x = 2 into each x-value in this equation. F(2) is written as function notation, while x = 2 is not.

F(2) = 4x² - 3x + 5

F(2) = 4(2)² - 3(2) + 5

F(2) = 4(4) - 6 + 5

F(2) = 16 - 6 + 5

F(2) = 15

Therefore, the value of F(2) is 15.

8 0

3 years ago

Solve by completing the square:<br> x^2 + 3x - 9 = 0

tekilochka [14]

Answer:

Step-by-step explanation:

x^2 + 3x - 9 =0

By comparing with the equation ax^2+bx+c = 0,

we get,

a = 1, b=3, c = -9

we know the formula for x is,

x = (-b±√(b^2 - 4ac))/2a

x = (-3±√45)/2

x = (-3±3√5)/2

x = (-3+3√5)/2, (-3-3√5)/2

6 0

3 years ago

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A tennis ball can in the shape of a right circular cylinder holds four tennis balls snugly. If the radius of a tennis ball is 3.

Volgvan

Answer:

about 33.3%

Step-by-step explanation:

The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.

<h3>Volume of a cylinder</h3>

The volume of a cylinder of diameter d and height d will be ...

V = πr²h = π(d/2)²(d) = (π/4)d³

<h3>Volume of a sphere</h3>

The volume of a sphere of diameter d is ...

V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³

<h3>Unoccupied space</h3>

The fraction of space that is occupied is ...

occupied space = (sphere volume)/(cylinder volume)

occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3

The fraction of unoccupied space is ...

unoccupied fraction = 1 -2/3 = 1/3

unoccupied fraction ≈ 33.3%

3 0

2 years ago

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Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, a

dimulka [17.4K]

We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.

5 0

3 years ago

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amy places adopt on a coordinate plane at (-3,-6) she wants to place another dot across the y-axis and it must be 8 points away.

Vaselesa [24]

(5,-6) because across the y acis meanes the same y Val just a different x Val. and so you could count 8 away from -3 going right. and you'll get my answer

6 0

3 years ago

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