3 years ago

Explain why a mixed number is a rational number

Mathematics

1 answer:

Fed [463]3 years ago

5 0

Mixed numbers are all rational numbers because they can be expressed as a fraction.

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Factorise and solve : x^3-x^2-4x+4

Alika [10]

(x - 1)(x - 2)(x + 2)

note that the sum of the coefficients 1 - 1 - 4 + 4 = 0

thus x = 1 is a root and (x - 1 ) is a factor

dividing x³ - x² - 4x + 4 by (x - 1)

x³ - x² - 4x + 4 = (x - 1)(x² - 4 ) (note (x² - 4 ) is a difference of squares )

x³ - x² - 4x + 4 = (x - 1)(x - 2)(x + 2)

(x - 1)(x - 2)(x + 2 ) =0

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

x + 2 = 0 ⇒ x = - 2

solutions are x = 1 or x = ± 2

6 0

2 years ago

F(x)=|x| to graph g(x)=|x|+3

Damm [24]

Answer:

the graph is as illustrated above

The absolute value of x is shifting 3 units up

7 0

2 years ago

Skylar became a famous skater.She won 86% of her meets.If she had 250 meets in 2014,how many did she win?

Travka [436]

215 meets just multiply 250 by 0.86

3 0

3 years ago

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Write 3 addition facts that have the same sum as 5 + 9

Dovator [93]

Answer:

10+4=14

8+6=14

13+1=14

5 0

2 years ago

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The masses to the nearest kilogram of nine men were:

serious [3.7K]

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

$75+68+78+82+85+90+88+92+76=\\734$

Step 2, dividing by the # of terms:

There are 9 terms in total.

$\frac{734}{9} =\\81.556$

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was $\fbox{82}$ kg.

<em>I hope this helps! Let me know if you have any questions :)</em>

5 0

2 years ago

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