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natali 33 [55]
4 years ago
14

Which equation represents a proportional relationship? A) y = x 8 B) y = 8 x C) y = x 8 + 8 D) y = 8 x + 8

Mathematics
1 answer:
Liula [17]4 years ago
6 0

Answer:

B y=8x

Step-by-step explanation:

A proportional relationship must go through the point x=0, y=0 and be in the form y=kx  where x is a constant

A) y = x^8

B) y = 8 x

C) y = x^8 + 8

D) y = 8 x + 8

The only points that is in the form y= kx is option B

C and D do not go through x=0, y=0  and A is not in the form y=kx where k is a constant

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Answer:

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Step-by-step explanation:

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Can someone explain to me how to find the vertex form of this equation?
iragen [17]
The quadratic equation has the general formula:
y = ax^2 + bx + c
The vertex form has the general formula:
y = a(x-h)^2 + k

To get the vertex formula, we will need to get the values of a,h and k as follows:
1- The value of a:
The value of "a" in the vertex form is the same as the value of "a" in the quadratic form
Therefore: a = -1
2- The value of h:
the value of "h" can be computed using the formula: 
h = -b / 2a
From the given quadratic equation: b = 12 and a = -1
Therefore: h = -12 / 2(-1) = 12/2 = 6
3- The value of k:
The value of k can be computed easily by evaluating y at the calculated h as follows:
The given equation is: y = -x^2 + 12x - 4
Compute the result at x=h=6 to get k as follows:
k = y = -(6)^2 + 12(6) - 4 = 32

Therefore, based on the above calculations, the vertex form would be:
y = a(x-h)^2 + k
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8 0
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Answer:

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3 years ago
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