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3 years ago

Help! I really need to pass!

Mathematics

2 answers:

Elis [28]3 years ago

5 0

Step-by-step explanation:

2X + Y = 6 is a required equation

Dmitriy789 [7]3 years ago

4 0

Answer:

$\huge{ \boxed{ \bold{ \sf{y = - 2x + 6}}}}$

☥ $\tt{Question} :$

Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ $\tt{Step - \: by \: - \: step \: explanation}$

☪ $\underline{ \underline{ \text{Given : }}}$

Slope ( m ) = -2
Given point = ( - 1 , 8 )

☪ $\underline {\underline{ \text{To \: find}}} :$

Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ $\underline{ \underline{ \text{Solution}}} :$

$\underline{ \sf{y - y1 = m(x - x1)}}$

plug the known values :

↦ $\text{y - 8 = - 2 \{ x - ( - 1) \} }$

↦ $\text{y - 8 = - 2(x + 1)}$

Distribute -2 through the parentheses :

↦ $\text{y - 8 = - 2x - 2}$

Transpose 8 to right hand side and change it's sign

↦ $\text{y = - 2x - 2 + 8}$

↦ $\boxed{ \text{y = - 2x + 6}}$

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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3x3-27x=0<br> Solve by factoring a

Eddi Din [679]

After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Step-by-step explanation:

We need to solve by factoring:

$3x^3-27x=0$

Solving:

$3x^3-27x=0$

Taking 3x common:

$3x(x^2-9)=0$

Now using formula $a^2-b^2=(a-b)(a+b)$

$3x((x)^2-(3)^2)=0\\3x(x-3)(x+3)=0$

$3x=0\,\,and\,\,x+3=0\,\,and\,\,x-3=0\\x=0\,\,and\,\,x=-3\,\,and\,\,x=3\\$

So, After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Keywords: Factorization

Learn more about Factorization at:

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3 years ago

Please help , thank you !!!!!!1

Lynna [10]

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Find the cost in dollars of the operating a 60-W lamp continuously for 1 week when the power utility rate is 18 cents/kWh .

Alex

<h2>Answer:</h2>

The cost in dollars is:

$ 1.8144

<h2>Step-by-step explanation:</h2>

It is given that:

The 60-W lamp is operated continuously for 1 week.

We know that:

1 week=7 days

and 1 day=24 hours

This means that:

1 week=24×7

i.e. 1 week= 168 hours

Also, 1 kW=1000 W

This means that:

1 W=0.001 kW

Hence,

60-W=0. 060 KW

i.e. Power= 0.60 KW

Hence, the energy consumed is:

Energy=Power×Time

i.e.

Energy=0.060×168

i.e.

Energy=10.08 KWh

Also, cost of 1 KWh=18 cents

We know that:

1 cent=0.01 dollar

This means that:

18 cents=0.18 dollar

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Cost of 1 KWh=$ 0.18

Hence, cost of 10.08 KWh is: $ (0.18×10.08)

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Cost of 10.08 KWh is: $ 1.8144

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