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3 years ago

Find the quadratic function that has roots of -9 and 3 and a vertex of (-3,-36)

1 answer:

6 0

Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99

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The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?

Sphinxa [80]

Answer:

C) 4

Step-by-step explanation:

Given equation:

$2y=8x$

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

The equation representing proportional relationship is given by:

$y=kx$

where $k$ represents constant of proportionality.

So, in order to find the value of $k$ for the given proportionality relationship, we will solve for $y$

We have:

$2y=8x$

Solving for $y$

Dividing both sides by 2.

$\frac{2y}{2}=\frac{8x}{2}$

$y=4x$

∴ $k=4$

Thus, the constant of proportionality = 4.

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3 years ago

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Deffense [45]

Answer:

6.0 x 10^2

Step-by-step explanation:

(7.3 X 10) + (2.4 X 10^7)

(4 X 10^4)

= 73 + 24000000

40000

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= 6.0 x 10^2

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3 years ago

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SIZIF [17.4K]

Answer:

y + 1 = 4(x - 2)

y = 4x + 11

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Step-by-step explanation:

Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

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