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Mathematics

1 answer:

melamori03 [73]2 years ago

5 0

Answer:

5/48, 3/16, .5, .75, 13
1/5, .35, 12/25, .5, 4/5
-3/4, -7/10, 3/40, 8/10
-.65, -3/8, 5/16, 2/4

Step-by-step explanation:

5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
1/5 = .2 | 12/25 = .48 | 4/5 = .8
-3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
-3/8 = -.375 | 5/16 = .3125 | 2/4 = .5

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Which graph represents the solution to the given system ? Y=- 6X - 2Y +2=- 6X

Nonamiya [84]

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the first equation:

$y=- 6x - 2$

You can identify that:

$m=-6\\b=-2$

By definition, the line intersects the x-axis when $y=0$ . Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:

$0=- 6x - 2\\\\2=-6x\\\\x=-\frac{1}{3}\\\\x=-0.333$

Now you can graph it.

Solve for "y" from the second equation:

$y +2=- 6x\\\\y=-6x-2$

You can identify that:

$m=-6\\b=-2$

Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has<u> Infinitely many solutions.</u>

See the graph attached.