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photoshop1234 [79]
3 years ago
10

Is this proportional or not

Mathematics
1 answer:
fredd [130]3 years ago
3 0

9514 1404 393

Answer:

  NOT a proportional relationship

Step-by-step explanation:

A proportional relationship graphs as a straight line through the origin. The line here does not go through (0, 0), so the relationship IS NOT proportional.

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Factor to find the zeros of the function defined by the quadratic expression. 2x2 − 18x + 36 A) x = 3 or x = 6 B) x = 3 or x = −
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Answer:

A) x=3 or x=6

Step-by-step explanation:

Factor out the GCF : 2(x^2-9x+18)

Then, set to zero.

2(x^2-9x+18)=0

2(x-3)(x-6)=0

x=3 or x=6

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Are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither
steposvetlana [31]

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}

\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12

\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2

\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}

6x+2y=-2

-

\underline{6x-3y=-12}

5y=10

so the system of equations becomes

\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}

solving 5y = 10 for y

5y=10

Divide both sides by 5

\frac{5y}{5}=\frac{10}{5}

simplify

y=2

\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2

6x-3\cdot \:2=-12

6x-6=-12

Adding 6 to both sides

6x-6+6=-12+6

6x=-6

Divide both sides by 6

\frac{6x}{6}=\frac{-6}{6}

x=-1

Therefore, the solution to the system of equations be:

x=-1,\:y=2

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

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Answer:

It's B :)

Step-by-step explanation:

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