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Nostrana [21]
2 years ago
14

. . . , , ,help please ​

Mathematics
1 answer:
IgorC [24]2 years ago
3 0

The system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3

<h3>How to determine the inequalities?</h3>

The complete question requires that we determine the system of inequalities of the graph (the graph is attached)

Going by the list of options, the equation of the quadratic curve is:

y = x² + 2x - 3

From the graph, we can see that:

  • The curve uses a dotted line
  • The upper part is shaded

The above means that the inequality is greater than i.e. >

So, we have:

y > x² + 2x - 3

The above eliminates options (b) and (c)

From the graph, we can see that the straight line has a positive slope, a dotted line and the upper part is shaded.

The linear inequality in option (a) has the above characteristics.

So, the inequality is:

y > 2x + 3

Hence, the system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3

Read more about inequalities at:

brainly.com/question/25275758

#SPJ1

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The equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

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Hence the equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

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Explanation —>
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Find a quadratic expression with integer coefficients whose roots are <img src="https://tex.z-dn.net/?f=5%2F2%2B%203i" id="TexFo
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the quadratic equation can be written as (x-root1)(x-root2)

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