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Papessa [141]
3 years ago
12

Which system of inequalities is represented by the graph

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

y ≤ 2x + 4 and x + y ≥ -6

Step-by-step explanation:

Graphing a system of inequalities is similar to graphing linear functions.  It is best to have equations in the form of y = mx + b where m = slope and b = y-intercept.  Looking at the graph, you can see that there is one line going uphill (positive slope) and one going downhill (negative slope).  There are two y-intercepts, one from each line at (0,4) and (0, -6)  So, only the top two equations have a y-intercept equal to 4 and -6.  Then, you can find the slope of each line by choosing two points on the same line and using rise/run to find the change in 'y' over the change in 'x'.  

Line #1 (uphill):  (-2, 0) and (0, 4) = 4-0/0- -2 = 4/2 = 2

The only answer with a positve 2 slope and y-intercepts of 4 and -6 is the second one, so that is your answer.

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Which of the following situations results in an answer of 23 ? Select three that apply.
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Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

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<em>"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"</em>

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4 0
3 years ago
30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT
Pachacha [2.7K]

Answer:

p(-5/3) ≠  0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is p(x)=3x^5+2x^2 - 5

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x +  5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then,  x = -5/3, p(x)  =0 ⇒   ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

p(x)=3x^5+2x^2 - 5  \implies p(\frac{-5}{3})  = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9})  - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9})  - 5\\= -38.580 + 5.56  - 5  =  -38.02\\\implies p(\frac{-5}{3})  = -38.02

Now, as p(-5/3) ≠  0 So, (3x +5) is NOT A FACTOR of p(x)

6 0
3 years ago
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