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Eddi Din [679]
1 year ago
15

Which interval for the graphed function contains the local maximum?

Mathematics
2 answers:
postnew [5]1 year ago
6 0

The interval of the function that contains the local maximum is given by:

[0, 2].

<h3>What is the question?</h3>

The graph of the function that we want to analyze the behavior is missing. It states that:

  • The function is decreasing from negative infinity to x = -0.8.
  • Then the function increases from x = -0.8 to x = 1.55.
  • After that, the function decreases until infinity.

<h3>What is a local maximum in a function f(x)?</h3>

A local maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.

Researching this problem on the internet, and looking at the graph, the function changes from increasing to decreasing at point x = 1.55, hence the interval that contains the local maximum of the function is:

[0, 2].

More can be learned about local maximums at brainly.com/question/13333267

#SPJ1

Gennadij [26K]1 year ago
3 0

Answer:

(C) [0, 2]

Step-by-step explanation:

On Edgen 2022

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Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin
Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}

Multiply both the sides by x.

\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}

Again multiply both the sides by x

2x^{2} -2x-12 = 5x^{2} +18x

\implies 5x^{2} -2x^{2} +18x +2x +12 = 0

\implies 3x^{2} + 18x+2x + 12 = 0

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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7 0
1 year ago
What is the slope of the line that passes through the points (-6, 8)(−6,8) and (-16, 33) ?(−16,33)?HELPPPPP!!!!
Marina CMI [18]

Answer:

It should be -5/2 for the points (-6,8) (-16,33)

Step-by-step explanation:

5 0
3 years ago
please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me
mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are  equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH=\sqrt{(5-0)^{2}+(1-1)^{2}}=5 and

GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5

Now, mid point of JH=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

=(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)

Mid point of GI=(\frac{5}{2},1)

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

(GI)^{2}=(IJ)^{2}+(JG)^{2}                             (1)

Now, JI=\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20} and GJ=\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}

Substituting these values in (1), we get

5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }

25=20+5

25=25

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5  and HJ=\sqrt{(0-5)^2+(1-1)^2}=5 are equal, thus, GHIJ is a rectangle.

6 0
3 years ago
Evaluate 2/5g + 3h - 6 when g = 10 and z = 6
poizon [28]

Answer:

16

Step-by-step explanation:

Well first we need to plug in 10 for g and 6 for h.

2/5(10) + 3(6) - 6

4 + 18 - 6

22 - 6

16

<em>Thus,</em>

<em>the answer is 16.</em>

<em />

<em>Hipe this helps :)</em>

4 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!!! <br> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Cloud [144]

Answer:

Expression: no equal sign

Equation: equal sign is a MUST

Just switch the answer you put for expression and equation

Step-by-step explanation:

4 0
2 years ago
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