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IrinaK [193]
3 years ago
5

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

Mathematics
2 answers:
hjlf3 years ago
8 0
Vertex of x^2 = (0,0)

Vertex of x^2 - 8x + 7

     Find the roots by factoring
         (x - 7)( x -1 )=0
           x= 7, x = 1
           middle: [7+1]/2 = 8/2 = 4
           g(4) = 4^2 -8(4) + 7 = 16 - 32 + 7 = -9
           Vertex = (4,-9)

Then the translation is right 4, down 9. This is the first option.

 
Leya [2.2K]3 years ago
8 0
The vertex form of the function:
g ( x ) = x² - 8 x + 7 = ( x² - 8 x + 16 ) - 16 + 7 =
= ( x - 4 )² - 9
Answer:
C )  right 4, down 9.
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What is the area and perimeter. please answer asap ​
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Answer:

Perimeter: 24

Area: 1105.92

Step-by-step explanation:

Perimeter:

Add up all of the numbers

Area:

Multiply all of the numbers

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7 0
3 years ago
Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior ang
Kaylis [27]

The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

<h3>What is a polygon?</h3>

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The sum of the exterior angles of a regular polygon will always equal 360

Given that;

  • Exterior angle a = 25 degrees
  • Exterior angle b =  146 degrees
  • Exterior angle d = 149 degrees
  • Exterior angle c = ?

25° + 146° + 149° + c = 360°

320° + c = 360°

c = 360° - 320°

c = 40°

The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

Learn more about polygons here: brainly.com/question/22408868

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8 0
2 years ago
(5x2+14x-15)-(3x2+5x+7) simplify
sleet_krkn [62]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.
sveticcg [70]

Answer:

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5 0
3 years ago
Consider the rational expression (IMAGE ATTACHED)
Keith_Richards [23]

Answer:

  • 3x² is a term in the numerator
  • x + 1 is a common factor
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Step-by-step explanation:

You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.

When you factor the expression, you get ...

  \dfrac{3x^2-3}{3x^2+2x-1}=\dfrac{3(x^2-1)}{(3x-1)(x+1)}=\dfrac{3(x-1)(x+1)}{(3x-1)(x+1)}

This reveals a common factor of x+1.

So, the above three observations are true of this rational expression.

3 0
3 years ago
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