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andre [41]
3 years ago
13

Find the value of x ?

Mathematics
1 answer:
mina [271]3 years ago
5 0
4x+16=7x-20

Add 20 to each side

4x+36=7x

Subtract 4x each side


3x=36

Divide by 3 to get X

X=12
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Y = 3x2 − 18x − 19.
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Answer:

  A) y = 3(x -3)^2 -46

  B) (3, -46)

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Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

  y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

  y = 3(x^2 -6x +9) -19 -3(9)

  y = 3(x -3)^2 -46

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B) Compared to the vertex form, ...

  y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

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C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

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