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deff fn [24]
3 years ago
14

2y^2/y-7 - y^2+49/y-7

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

y+7

Step-by-step explanation:

2y^2/y-7-y^2-49/y-7

=2y^2-y^2-49/y-7

=y^2-49/y-7

=(y+7)(y-7)/y-7

=y+7

Note:If you didn't understand just comment I will solve on paper and send the picture.

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What is the y-intercept, axis of symmetry and vertex of the following function.
Pepsi [2]

Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0   ⇒   -3 (x + 1)² ≤ 0   ⇒   -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

4 0
2 years ago
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What is the slope of the graph of y= 3x -<br> 2x–5?<br> b<br> -5<br> 2<br> 3
Ksenya-84 [330]

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Step-by-step explanation:

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3 years ago
Help<br> I’ll give a lot of credits
jenyasd209 [6]

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Step-by-step explanation:

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Answer:

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3 years ago
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