Help please, if you know how to do it. Posting separate questions so you get more points, l thanks

9514 1404 393

Step-by-step explanation:

1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...

  y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)

  y = x^2 +x +1

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2. The zeros appear to be at x=1 and x=4, so the factored form of the equation is ...

  y = a(x -1)(x -4)

At x = 0, this is ...

  12 = a(-1)(-4)

  3 = a

So, the equation is ...

  y = 3x^2 -15x +12

The values at the two points of interest are ...

  y = 3(-2-1)(-2-4) = 54 . . . . point (-2, 54)

  y = 3(5 -1)(5 -4) = 12 . . . . point (5, 12)

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3. Using the vertex shown, the vertex form of the equation is ...

  y = a(x -2)^2 +7

Filling in the point (-2, -1), we can find the value of a:

  -1 = a(-2-2)^2 +7

  -8 = 16a

  a = -8/16 = -1/2

So, the equation is ...

  y = -1/2x^2 +2x +5

For x=0, the y-value is 5. The y-intercept is (0, 5).

$27.5

step-by-step explanation:

$110.00 divided by 4

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq