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Natali [406]
3 years ago
10

Find the constant of variation for the relationship shown in the following table: x 1 2 3 4 y 3 6 9 12

Mathematics
2 answers:
stepan [7]3 years ago
7 0

Answer:

y=3x ( the'=' sign is the proportionality sign)

Step-by-step explanation:

x = 1 , 2 , 3 , 4

y = 3 , 6 , 9 , 12

You are multiplying by 3 to get to y

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

nasty-shy [4]3 years ago
7 0

well the table would look like this

     x      y

     1      3

     2      6

     3      9

     4      12

and the direct variation is y=3x but the constant of variation is k=3

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andriy [413]
15x >= 200
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5 0
4 years ago
What is the axis of symmetry for f(x) = -3x2 + 18 - 7
solong [7]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

The axis of symetry is x = h.

y=ax^2+bx+c\to h=\dfrac{-b}{2a}

We have

f(x)=-3x^2+18x-7\to a=-3,\ b=18,\ c=-7

Substitute:

h=\dfrac{-18}{(2)(-3)}=\dfrac{-18}{-6}=3

<h3>Answer: x = 3</h3>
6 0
3 years ago
Y = x —6x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation di
forsale [732]

Answer:

y=(x-4)(x-2)

Step-by-step explanation:

Consider the given equation

y=x^2-6x+8

Factor form of a parabola: It displays the x-intercepts.

y=a(x-p)(x-q)          .... (1)

where, a is a constant and, p and q are x-intercepts.

So, we need to find the factored form of the given equation.

Splinting the middle term we get

y=x^2-4x-2x+8

y=x(x-4)-2(x-4)

y=(x-4)(x-2)         .... (2)

On comparing (1) and (2) we get

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It means x-intercepts of the given parabola are 4 and 2.

Therefore, equivalent forms of the equation is y=(x-4)(x-2).

3 0
3 years ago
Two parallel lines are crossed by a transversal. What is the value of x? x = 21 x = 28 x = 35 x = 37
DENIUS [597]
Using the definition of vertical angles you can set up the equation 3x+4=115, when solved you get x=37. Hope this helps!
4 0
3 years ago
Read 2 more answers
11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Fudgin [204]

Answer:

Step-by-step explanation:

              Statements                                     Reasons

1). 17 - 3(w + 5) = 6(w + 5) - 2w            1). Given

2). 17 - 3w - 15 = 6w + 30 - 2w            2). Distributive property

3). -3w + 2 = 4w + 30                           3). Addition property of equality

4). -7w + 2 = 30                                    4). Subtraction property of equality

5). -7w = 28                                          5). Subtraction property of equality

6). w = -4                                              6). Division property of equality

5 0
3 years ago
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