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Marina CMI [18]
2 years ago
13

Solve the equation (x-3)^3-( x - 1 )^3 + 7x^2 = 7(3x - 4 )

Mathematics
1 answer:
Yakvenalex [24]2 years ago
8 0

Answer:

x= -1 or x = -2

Step-by-step explanation:

Your equation:

(x−3)^3−(x−1)^3+7x^2=7(3x−4)

Step 1: Simplify both sides of the equation.

x^2+24x−26=21x−28

Step 2: Subtract 21x-28 from both sides.

x^2+24x−26−(21x−28)=21x−28−(21x−28)

x^2+3x+2=0

Step 3: Factor left side of equation.

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

Step 4: Set factors equal to zero.

x+1=0 or x+2=0

which equals to x=−1 or x=−2

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Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
notka56 [123]

Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

⇒4 = 1+y

⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

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Which of the following describes the graph of 2x + 4y < 16?
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Answer:

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Step-by-step explanation:

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Hi there! Can someone help me with this, i need a proper answer, i don't need LINKS or FILES for the explanations.
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Answer:

<u>Using below system of inequalities</u>

  • y > 2x - 3
  • y < x + 1

<u>Following the rules </u>

  • 1. Finding x- and y - intercepts
  • 2. Connecting with dotted line for each as no equal symbol present in any inequality
  • 3. Shade respective regions
  • 4. Solution is the intersection of the shades regions
  • 5. Select any three points in the solution region

<u>Line 1</u>

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  • Shaded region is above the line (or to the left)

<u>Line 2</u>

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  • y - intercept: x = 0 ⇒ y = 1
  • Shaded region is below the line (or to the right)

<u>Selected points are:</u>

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