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HACTEHA [7]
3 years ago
10

What is the range of y = (x - 5)^2 – 1?

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

1.  The graph is a parabola.

2. The parabola opens up, because there's no negative number in front of (x-5)^2.

3. The vertext is (5,-1), because of the vertex form.

This means that that -1 will be the least y-value used on the graph and the garph will open up from there.

The range is (-1, infinity) or { y | y > -1 }.

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Which ordered pair is included in the solution set to the following system?
Nataliya [291]

The ordered pair is included in the solution set to the following system is (0,2)

<h3>Set of inequalities</h3>

Given the set of inequalities

y > x2 + 1

y < x2 – x + 1

Equate both expressions to have:

x^2 + 1 = x^2 - x +1

1 = -x + 1

x = 0

Substitute x = 0 into any of the function

y = x^2 + 1

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Learn more on inequality here: brainly.com/question/24372553

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2 years ago
Which ordered pair is a solution to the system of equations?
melisa1 [442]

Answer:

(-2, -3)

Step-by-step explanation:

We assume your system of equations is ...

  • 2x - y = -1
  • 2x -4y = 8

You can subtract the second equation from the first to get

... (2x -y) -(2x -4y) = (-1) -(8)

... 3y = -9 . . . . . collect terms

... y = -3 . . . . . . divide by 3 . . . . this is sufficient to identify the correct answer

Substituting into the first equation, we have ...

... 2x -(-3) = -1

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... x = -2 . . . . . . .divide by 2

Now, we're sure the answer is (x, y) = (-2, -3).

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2 years ago
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