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motikmotik
3 years ago
10

Graph -6x-9y=54 A B C D

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

The slope would be -2/3 and the y-intercept is -6

irga5000 [103]3 years ago
3 0

For this case we must indicate the graph of the following equation:

-6x-9y = 54

Adding 6x to both sides we have:

-9y = 54 + 6x

Dividing between -9 on both sides:

y = \frac {54} {-9} + \frac{6x} {-9}\\y = -6 - \frac {2} {3} x

For an equation of the formy = mx + b, the slope is given by "m" and the point of intersection with the y axis is "b".

In this case we have thatb = -6 andm = -\frac {2} {3}. The slope is negative. So, the corresponding graph is option A

Answer:

Option A

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What is the system solution to 8x + 7y = 39
ludmilkaskok [199]

Answer:

-8/7

Step-by-step explanation:

I thinks this is the answer

8 0
2 years ago
What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

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