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Kruka [31]
2 years ago
14

Find the equation of the line of symmetry of y= (x+2)(x-8).​

Mathematics
1 answer:
Daniel [21]2 years ago
4 0

Answer:

line of symmetry , x = 3

Step-by-step explanation:

Standard form of quadratic equation  is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.

y = (x+ 2)(x-8)\\\\y = (x^2 -8x + 2x -16)\\\\y = x^2 -6x -16

a = 1, b = -6, c = -16

Line of symmetry is ,

                           x = -\frac{b}{2a} = -\frac{-6}{2}  = 3

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3 years ago
Which of the following random variables is not discrete?
Ilia_Sergeevich [38]

Answer:

b) The annual rainfall in a city

Step-by-step explanation:

Remember, a discrete variable is one that can only take a finite number of values between any two values of a characteristic and a continuous variable is one that can take an infinite number of values between any two values of a characteristic.

a) Observe that the variable x='<em>classes taken in one semester' </em>can take the values 0,1,2,...,n.

Then the variable x is discrete

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Then, the variable x can be take a infinite number of values between two number. So x isn't a discrete variable.

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7 0
3 years ago
Find a cubic polynomial whose graph passes through the points (1,3),(2,−2),(3,−5),(4,0)
scoundrel [369]
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 y = ax ^ 3 + bx ^ 2 + cx + d
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 We have then:
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 3 = a (1) ^ 3 + b (1) ^ 2 + c (1) + d
 3 = a + b + c + d
 For (2, -2):
 -2 = a (2) ^ 3 + b (2) ^ 2 + c (2) + d
 -2 = 8a + 4b + 2c + d
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-5 = a (3) ^ 3 + b (3) ^ 2 + c (3) + d
 -5 = 27a + 9b + 3c + d
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 0 = a (4) ^ 3 + b (4) ^ 2 + c (4) + d
 0 = 64a + 16b + 4c + d
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 3 = a + b + c + d
 -2 = 8a + 4b + 2c + d
 -5 = 27a + 9b + 3c + d
 0 = 64a + 16b + 4c + d
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 The polynomial will then be:
 y = x ^ 3 - 5x ^ 2 + 3x + 4
 Answer:
 
y = x ^ 3 - 5x ^ 2 + 3x + 4
4 0
3 years ago
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