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Musya8 [376]
3 years ago
8

Estimate the solution of the system of equations. Write the answer as an ordered pair.

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

Solution of the given system of equations is (1, 2.5)

Step-by-step explanation:

From the graph attached,

Two intersecting lines represent the system of equations.

And the solution of the system of equations is a common point where these lines intersect.

Graph shows both the line are intersecting each other at (1, 2.5).

Therefore, solution of the given system of equations will be (1, 2.5).

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(2x^2=9 v.i.z., on rationalizing 1.5*√2)

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HELP PLEASE!!!!!!!!!!!!
Bogdan [553]

Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and  

x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2} and  

x= \frac{-2-\sqrt{2^{2}-4\times(-5)\times1 } }{2}

⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:  

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :  

x can be any real number

Range:  

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :  

f(x) = x^{2} +2x-5 =x^{2}  (1+\frac{2}{x} -\frac{5}{x^{2} } )

So, as x tends to +∞ , then f(x) tends to +∞

And as x tends to -∞, then f(x) tends to +∞. (Answer)

7 0
3 years ago
Which of the following is equivalent to 8x2+20x+
kkurt [141]
<h2>answer </h2><h2>36</h2>

<h2>i HOPE IT'S HELP </h2>

7 0
3 years ago
The graph of this function is shifted 7 units right and shifted 5 units up.
mojhsa [17]
<h2><u>Graphing</u></h2>

<h3>The graph of this function is shifted 7 units right and shifted 5 units up.</h3>

<h3>f(x) = -2/3(x - 7)² - 5</h3>

  • True
  • False

<u>Answer:</u>

  • <u>False</u>

<u>Explanation:</u>

  • Why false? As I noticed, in the equation f(x) = -2/3(x - 7)² - 5, the vertex is (7, -5). The value of a, which is -2/3, is negative. So the graph opens downwards. The graph shifts 7 units to the right, which is correct, but graphing 5 units up is wrong. Why? 5 is negative, so it should be shifted 5 units down.

Wxndy~~

6 0
2 years ago
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