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Citrus2011 [14]
3 years ago
8

Tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)

Mathematics
1 answer:
Kamila [148]3 years ago
6 0

<em>Note: your equation is a little bit unclear. Thus, I am assuming that </em>

<em>y = 2x+5</em>

<em> Anyway, the procedure remains the same. It would anyways clear your concept.</em>

Answer:

We conclude that the ordered pair (2, 1) is a solution.

Step-by-step explanation:

Given the equation

y = -2x+5

Check for point (2, 1)

substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.

y = -2x+5

plug in x = 2 and y = 1

1 = -2(2)+5

1 = -4+5

1 = 1

R.H.S = L.H.S

TRUE

Therefore, the given ordered pairs satisifes the equation.

Hence, we conclude that the ordered pair (2, 1) is a solution.

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What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
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  5π, about 15.708 units

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A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

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<em>Additional comment</em>

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

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state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv
Anarel [89]

The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

  • x-intercept = -4, -2 and 2
  • y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

  • Increasing interval: (0.5, ∝) and (-∝, -3)
  • Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

  • Positive interval: (-4, -2) and (2, ∝)
  • Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

  • As x ⇒ ∝, f(x) ⇒ +∝
  • As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

#SPJ1

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2 years ago
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