we know that
The vertex of the function 
is the point 
The vertex of the function 
is the point 
The x-coordinate of the vertex is equal to h
the y-coordinate of the vertex is equal to k
so
the value of h is 
the value of k is 
the equation is
therefore
<u>the answer is the option a</u>
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Answer:
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Answer:
<h3>
44</h3>
Step-by-step explanation:
z - some integer
2z - first given even integer (the smaller one)
2z+2 - even integer consecutive to 2z (the larger one)
2(2z) - twice the smaller number
2(2z) - 40 - the number 40 less than twice the smaller number
2(2z) - 40 = 2z + 2
4z - 40 = 2z + 2
2z = 42
2z+2 = 42+2 = 44
check:
2(2z)-40 = 2(42)-40 = 84-40 = 44
Answer:
x=-6
Step-by-step explanation:
Let x be the number
3x = x^2 -54
Subtract 3x
3x-3x = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 numbers multiply to -54 and add to -3
-9*6 = -54
-9+6 = -3
0=(x-9) (x+6)
Using the zero product property
x-9=0 x+6=0
x=9 x=-6
The questions asks for the negative solution
x=-6
