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2 years ago

Complete the table for the given rule.

Mathematics

2 answers:

ioda2 years ago

6 0

Answer:

a) 1= X/2 so X= 2

b) 2.5=X/2 so X= 5

c) 3.5=X/2 so X=7

Bas_tet [7]2 years ago

5 0

Answer:

Step-by-step explanation:

You are solving for x, so, in the rule y=x/2 you multiply each side of the equation by 2 to get y×2=x.

1×2=x

x=2

2.5×2=x

x=5

3.5×2=x

x=7

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Butoxors [25]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

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8 0

3 years ago

I need help with this

Kruka [31]

Answer:

X=9/4

Step-by-step explanation:

-3x+10=5x-8

Subtract 10 from each sides

-3x=5x-18

Subtract 5x from both sides

-8x=-18

Divide both sides by -8

x=9/4

I hope this helped

3 0

3 years ago

What’s half of 2 1/2 as a fraction?

aliina [53]

Answer:

5/4

Step-by-step explanation:

2 1/2=5/2

(5/2)(1/2)=5/4

8 0

3 years ago