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GuDViN [60]
3 years ago
14

Please solve this question..​

Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

vertex = (- 1, - 4.5 )

Step-by-step explanation:

Given

f(x) = \frac{1}{2} (x - 2)(x + 4)

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let f(x) = 0, that is

\frac{1}{2} (x - 2)(x + 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 4 = 0 ⇒ x = - 4

The x- coordinate of the vertex is therefore

x = \frac{-4+2}{2} = \frac{-2}{2} = - 1

Substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = \frac{1}{2} (- 1 - 2)(- 1 + 4) = \frac{1}{2} × - 3 × 3 = 0.5 × - 9 = - 4.5

Coordinates of vertex = (- 1, - 4.5 )

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Beyonce danced around the track tree times. The track was 400 meters. How many kilometers did she dance all together
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Step-by-step explanation:

5 0
3 years ago
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What is equivalent to 5(6×+3y)
meriva

Answer:

   3*y/5-(6)=0

Step-by-step explanation:

           y

Simplify   —

           5

Equation at the end of step  1  :

      y      

 (3 • —) -  6  = 0  

      5      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        6     6 • 5

   6 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3y - (6 • 5)     3y - 30

————————————  =  ———————

     5              5    

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3y - 30  =   3 • (y - 10)  

Equation at the end of step  3  :

 3 • (y - 10)

 ————————————  = 0  

      5      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(y-10)

 ———————— • 5 = 0 • 5

    5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (y-10)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

8 0
3 years ago
Can anyone pleas help me i don't under stand
cupoosta [38]
I think it goes like this X=5
4 0
3 years ago
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