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prisoha [69]
3 years ago
12

HELP FASTTTT Which graph shows the solution to the system of linear inequalities ?

Mathematics
2 answers:
Anastasy [175]3 years ago
6 0
First, look at the equation
y < x + 1
We can find the line
y = x + 1
on a graph (drawing attached). It forms a diagonal line. Since y is less than, not equal, to x + 1, we shade the graph below that line.

Only one graph shows this correctly.

To find the graph for the equation
x - 4y \leqslant 4
we first have to simplify the equation:
x - 4y \leqslant 4 \\  - 4y \leqslant 4 - x \\ y \geqslant  - 1 +  \frac{1}{4} x \\ y \geqslant  \frac{1}{4} x - 1
First, we subtract x from both sides.
Then we divide -4 from both sides, switching the direction of the inequality because we divided by a negative number.
We can now use this equation to find a graph.

The greater than or equal to sign means that we shade upward from the line (drawing attached).
y =  \frac{1}{4} x - 1


As for which graph, it is graph #1, since the line for
y < x + 1
is a dotted line, not a solid line, because the < sign prevent the equation from fully reaching the line.

Mice21 [21]3 years ago
4 0
Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.

y<x+1  can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)

x-4y <=4
again, ignore the constants and simplify to 
x-y<0 or
y>x   so the valid part is ABOVE the line (since y>)

There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.

For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.

As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.

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In your denominator, you have (x+7)(x-5)(x-3).
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If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.

Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.

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4 0
2 years ago
Brian is traveling at a rate of 72.0 meters/second. What speed would he be traveling in miles/hour?
Korvikt [17]

Answer:

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or, 1meters/second = 1/0.45

1m/s = 2.22222222222

Step-by-step explanation:

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Complete the synthetic division problem below -3 1 2 -2 3
Anna007 [38]

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step 1: Set up the synthetic division. ...

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Step 3: Multiply c by the value just written on the bottom row. ...

Step 4: Add the column created in step 3.

Step-by-step explanation:

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yarga [219]

Answer:

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W + 3 3/8 = 1 5/6;

W = 1 5/6 - 3 3/8;

W = 11/6 - 27/8;

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W = (44 - 81)/24;

W = -37/24 = -1 13/24;

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