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3 years ago

Which of the equations below could be the equation of this parabola?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

Answer:

C. x=-3y^2

Step-by-step explanation:

The group of parabola opens left so, x=ay^2

parabola opens left so a in negative x=-3y^2

Hope it helps....

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Se lanza dos dado, ¿Cuál es la probabilidad de obtener 10 puntos?

LekaFEV [45]

3/36 o 1/12 oportunidad

3 0

3 years ago

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is:

$y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4$

$y = -5.333$

$(x,y) = (2, -5)$ does not belong to the function, the real point is $(x,y) = (2, -5.333)$ .

5 0

3 years ago

Find the median 66, 73, 66, 75, 80 please help!!!

Elanso [62]

Answer:

median= 73

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

10: A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk is supposed to reorder bolts when the

Naily [24]

The answer is 14 bolts.

1 dozen bolts have 12 bolts.
7 dozen bolts have x bolts
___
1 : 12 = 7 : x
x = 7 * 12 : 1
x = 84 bolts

1 bin has 7-dozen bolts (84 bolts).
1/6 bin has x bolts

1 : 84 = 1/6 : x
x = 84 * 1/6 : 1
x = 84/6 = 14 bolts

5 0

3 years ago

Where does the line y = -4x + 9 cross the y-axis? please help

iren2701 [21]

Answer:

y = 9

Step-by-step explanation:

When the line crosses y-axix, x-co ordinate = 0

y = -4*0 + 9

y = 0 + 9

y = 9

8 0

3 years ago