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Anna [14]
3 years ago
5

Solve the given inequality and graph the solution on a number line. -x/2+3/2<5/2

Mathematics
1 answer:
V125BC [204]3 years ago
5 0

: -x/2+3/2<5/2=x>-2

-x/2+3/2-3/2= -x/2<5/2-3/2=1

-x/2<1

-x/2/2= -x<1/2

-x can be transformed into -1/2x

-1/2x / -1/2=x

1/-1/2=-2

<span>x>-2</span>

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Solve for k 4.5+1.5k=18−3k
sertanlavr [38]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}

Step-by-step explanation:

\sf{4.5 + 1.5k = 18 - 3k}

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Similarly, move 4.5 to right hand side and change it's sign

\longrightarrow{ \sf{1.5k + 3k = 18 - 4.5}}

Collect like terms

\longrightarrow{ \sf{4.5k = 18 -  4.5}}

Subtract 4.5 from 18

\longrightarrow{ \sf{4.5k = 13.5}}

Divide both sides by 4.5

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Calculate

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4 0
3 years ago
Write y+1=5/2(x-2)+2 in standard form step by step please
Elden [556K]
Answer: 5x - 2y = 8

y+1=5/2(x-2)+2

multiply the each side by 2 to get rid of the fraction

2 (y+1) = (5/2 (x-2) +2 )2

2y+2=5(x-2)+4

now distribute the 5

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subtract the two from each side

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add like terms

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subtract 5x from each side

2y-5x=-8

multiple the whole equation by -1 to make the 5x a positive

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hope this helps!
6 0
3 years ago
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