3 years ago

Select the ordered pairs that are solutions to the inequality 2x-3y greater than or less than 2

1 answer:

3 0

The inequality simplifies to the inequalities: 2x-3y>2 or 2x-3y<2. These inequalities have an infinite number of solutions, as every ordered pair except for those on the line y=2/3x-2/3 satisfy it.

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Which equation represents y = −x2 + 6x + 7 in vertex form? y = −(x + 3)2 + 4 y = −(x − 3)2 + 10 y = −(x + 3)2 + 2 y = −(x − 3)2

Colt1911 [192]

$\text{The vertex form:}\ y=a(x-h)^2+k\\\\f(x)=ax^2+bx+c\to h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have}\ y=-x^2+6x+7\to f(x)=-x^2+6x+7\\\\a=-1,\ b=6,\ c=7\\\\h=\dfrac{-6}{2(-1)}=\dfrac{-6}{-2}=3\\\\k=f(3)=-3^2+6(3)+7=-9+18+7=16\\\\Answer:\ \boxed{y=-(x-3)^2+16}$