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salantis [7]
3 years ago
10

Which ordered pair would form a proportional relationship with the point graphed below?

Mathematics
1 answer:
kvasek [131]3 years ago
4 0

Answer:

(x,y) = (-30,10)

Step-by-step explanation:

Given

(x,y) = (60,-20)

Required:

Determine a pair with a proportional relationship

A proportional relationship is:

k = \frac{y}{x}

Where k is the constant of proportionality.

(x,y) = (60,-20)

So, we have:

k = \frac{-20}{60}

k = -\frac{1}{3}

This means that for a pair to have a proportional relation, k must be -1/3.

This is true for (c).

Where:

(x,y) = (-30,10)

So, we have:

k = \frac{10}{-30}

k = -\frac{1}{3}

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Complete the table of inputs and outputs for the given function. <br> g(x)=-4x-1
Radda [10]

Answer:

  (x, y) = (-2, 7), (0, -1), (3, -13), (-1, 3)

Step-by-step explanation:

To fill in the y-values, you need to put the x-value in the equation and evaluate.

<u>for x=0</u>

  y = -4(0) -1 = -1

<u>for x=-1</u>

  y = -4(-1) -1 = 4 -1 = 3

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To fill in the x-values, we can solve for x and then do as we did above.

  y = -4x -1

  y +1 = -4x . . . . add 1

  -(y +1)/4 = x . . . divide by -4

<u>for y=7</u>

  x = -(7 +1)/4 = -2

<u>for y=-13</u>

  x = -(-13+1)/4 = -(-12/4) = 3

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Then the table is ...

  \boxed{\begin{array}{cc}x&g(x)\\-2&7\\0&-1\\3&-13\\-1&3\end{array}}

7 0
2 years ago
Please I have my final now can someone help me with this fast
Mariana [72]

Answer:

option B

Step-by-step explanation:

Given :

y = \frac{2}{3}x + 3\\\\y = \frac{5}{2}x + \frac{7}{2}\\\\

Step 1 : simplify the equation :

3y = 2x + 9\\\\2y = 5x + 7\\

Step 2: Arrange the terms :

2x - 3y = - 9\\\\5x -2 y = -7

Step 3 : Solve for x and y :

                                2x - 3y = - 9 ------ ( 1 )

                                5x - 2y = - 7 --------- ( 2 )

                              _____________________

              ( 1 ) x 5 => 10x - 15y = - 45    ---------- (3 )

              ( 2) x 2 => 10x - 4y = - 14    ----------- (4 )

                             _______________________              

           ( 3 ) - ( 4 ) =>  0x - 11y = - 31

                                    - 11 y = - 31

                                        y = \frac{31}{11}

              Substitute y in ( 1 ) :

                     2x - 3y = - 9

                     2x - 3 (\frac{31}{11}) = - 9\\\\2x = -9 + 3(\frac{31}{11})\\\\2x = - 9 + \frac{93}{11}\\\\2x = \frac{-99 + 93}{11} \\\\2x = \frac{-6}{11} \\\\x = \frac{-6}{2 \times 11} = -\frac{3}{11}

Therefore the solution to the sytem is ( - \frac{3}{11} , \frac{31}{11})

The solution of the system of equation is a point which lies

on the both the lines.

Option A : False ,  It says the solution lies above one of the given line.

               But the solution of the system of equation always lies on

                both the line.

                     

Option B : True , says the solution is a point on the coordinate plane.

Option C : False, because if the solution is on the x-axis , then

                  the y coordinate in the solution would be zero.

                   But it  is not zero.

Option D : False , the solution is the point where both the lines intersect.

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