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valentina_108 [34]
2 years ago
8

Complete the table of values for..

Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0

Answer:

Step-by-step explanation:

y = x² + x - 3

x = - 3

y = ( - 3 )² + ( - 3 ) - 3 = 3

( - 3 , <em>3</em> )

x = 0 ⇒ y = - 3

( 0 , <em>- 3</em> )

x = 1

y = ( 1 )² + ( 1 ) - 3 = - 1  

( 1 , <em>- 1 </em>)

<em>(b).</em> Coordinate x of the vertex of quadratic equation y = ax² + bx + c is

- \frac{b}{2a}

x = - \frac{1}{2(1)} = - \frac{1}{2} = - 0.5

y = ( - 0.5 )² + ( - 0.5 ) - 3 = - 3.25 = - 3\frac{1}{4}

( - \frac{1}{2} , - 3\frac{1}{4} )

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Answer:

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Step-by-step explanation:

let c = # of cheeseburgers

let h = # of hamburgers

c = 2h (The number of cheeseburgers sold was two times the number

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The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
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Given parameters:

Midpoint of AB =  M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

              x_{m}   = \frac{x_{1} + x_{2}  }{2}    and y_{m}  = \frac{y_{1} + y_{2}  }{2}

where x_{m}  and y_{m} = coordinates of the mid points = 3 and -1

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Now let us input the variables and solve,

            3  = \frac{5 + x_{2} }{2}           and     -1 = \frac{1 + y_{2} }{2}

    5 +  x₂  = 6                          -2 = 1  + y₂

            x₂ = 1                             y₂ = -2 -1 = -3

The coordinates of B = 1, -3

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Answer:

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Step-by-step explanation:

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