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Gwar [14]
3 years ago
10

What is the slope of the line that contains x= -4, -3, -2, -1 and y= 2, 5, 8, 11

Mathematics
2 answers:
sveta [45]3 years ago
6 0

Answer:x=1,y=3

Step-by-step explanation:

mestny [16]3 years ago
3 0

Answer:

slope 3/1

Step-by-step explanation:

Using a graphing calculator (desmos), input the points. Do rise over run and you'll get 3/1

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Estimated m 60=4m <br><br><br><br><br> 4x0=
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[ Answer ]


M = <em><u>15</u></em>

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[ Explanation ]


60 / 4 = 15

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<> Eclipsed <>


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3 years ago
Graph a parabola whose x-intercepts are at x=-3 and x=5 and whose minimum value is y=-4
docker41 [41]

Answer:

(See explanation for further details)

Step-by-step explanation:

The standard equation of the parabola is:

y + 4 = C \cdot (x-k)^{2}

The formula is now expanded into a the form of a second-order polynomial:

y + 4 = C\cdot x^{2} -2\cdot C\cdot k \cdot x +C\cdot k^{2}

y = C\cdot x^{2} - (2\cdot C \cdot k) \cdot x + (C\cdot k^{2}-4)

The general equation of the second-order polynomial is:

x = \frac{2\cdot C \cdot k \pm \sqrt{4\cdot C^{2}\cdot k^{2}-4\cdot C\cdot (C\cdot k^{2}-4)}}{2\cdot C}

x = k \pm \frac{\sqrt{C^{2}\cdot k^{2}-C^{2}\cdot k^{2}+4\cdot C}}{C}

x = k \pm 2\cdot \frac{\sqrt{C}}{C}

x = k \pm \frac{2}{\sqrt{C}}

The equations to be solved are presented herein:

-3 = k -\frac{2}{\sqrt{C}}

5 = k + \frac{2}{\sqrt{C}}

Now, the solution of the system is:

-3 +\frac{2}{\sqrt{C}} = 5 -\frac{2}{\sqrt{C}}

\frac{4}{\sqrt{C}} = 8

\sqrt{C} = \frac{1}{2}

C = \frac{1}{4}

k = 5 - \frac{2}{\sqrt{\frac{1}{4} }}

k = 1

The equation of the parabola is:

y = \frac{1}{4}\cdot (x-1)^{2} -4

Lastly, the graphic of the function is included as attachment.

3 0
3 years ago
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