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ololo11 [35]
3 years ago
15

Use the x-intercept method to find all real solutions of the equation. x^3-7x^2+4x+12=0

Mathematics
2 answers:
grin007 [14]3 years ago
3 0

Answer:

the answer is c for apex

Step-by-step explanation:

neonofarm [45]3 years ago
3 0

Answer:

a. x=-1,2,\:or\:6

Step-by-step explanation:

The given equation is

x^3-7x^2+4x+12=0

To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.

The corresponding function is;

f(x)=x^3-7x^2+4x+12

The real solutions to x^3-7x^2+4x+12=0, are the x-intercepts of the graph of the corresponding function.

From the graph the x-intercepts are

(-1,0),(2,0) and (6,0).

Therefore the real solutions are

x=-1,2,\:or\:6

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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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