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Oksi-84 [34.3K]
3 years ago
8

D/3y - m/6y simplify

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

(2d - m)/6y

Step-by-step explanation:

To simplify, we must first find the lowest common multiple (LCM) of the denominators which are 3y and 6y.

The LCM of 3y and 6y is 6y. We then make it the common denominator while we multiply the numerators with it.

Hence,

d/3y - m/6y

= (6y(d/3y) - 6y(m)/6y)/6y

Dividing and multiplying

= (2d - m)/6y

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2. Abby found the axis of symmetry, x-coordinate, the vertex, and y-intercept
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Using quadratic function concepts, it is found that Abby made a mistake on the coordinates of the vertex, which are (-4,1).

----------------------

  • A quadratic function is defined by:

y(x) = ax^2 + bx + c

  • The y-intercept is given by point: (0, y(0))
  • The vertex is given by: (-\frac{b}{2a}, y(-\frac{b}{2a})).
  • The axis of symmetry is: x = -\frac{b}{2a}

----------------------

The function given is:

f(x) = -x^2 - 8x - 15

  • Which is a quadratic equation with: a = -1, b = -8, c = -15.
  • f(0) = -0^2 - 8(0) - 15 = -15, thus, the y-intercept is (0, -15).

x_v = -\frac{b}{2a} = -\frac{(-8)}{2(-1)} = \frac{8}{-2} = -4

  • Thus, the <u>x-coordinate of the vertex</u> is x = -4, which is the same as the <u>axis of symmetry</u>.

f(-4) = -(-4)^2 - 8(-4) - 15 = 1

  • The vertex is given by: (-4,1).

A similar problem is given at brainly.com/question/14680175

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