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Brums [2.3K]
3 years ago
10

Over what interval is the function in this graph decreasing?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

Hence, the graph is decreasing in the interval: –4 ≤ x ≤ 2 ( option: B is correct)

Step-by-step explanation:

We have to define the interval in which the graph of the given function is decreasing.

Clearly by looking at the graph we could see that the graph is first increasing till x<-4.

and then it decreases in the interval [-4,2] since the value of y changes from y=9 at x= -4 to y= -9 at x=2.

also after x=2 the graph increases till x=6 and after x=6 the graph is constant i.e. the graph is represented by the line:

y=5 in the interval x≥6.

Hence, the graph is decreasing in the interval:

–4 ≤ x ≤ 2 ( option: B is correct)

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miv72 [106K]
Let 1st integer  = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0

We will use the quadratic formula: x = (-b ± √(b2 - 4ac) / (2a) x = (-1 ± √(1 - 4(-195))) / 2 x = (-1 ± √(781)) / 2 x = (-1 ± 27.95) / 2 x = 13.48x = -14.78 
<span>We determine which value of x when substituted gives us a product of 195.</span> 13.48(14.48) = 195.19-14.48(-13.48) = 195.19 <span>The solution is 2 sets of two consecutive number</span> <span>Set 1</span> The 1st consecutive integer is 13.48The 2nd consecutive integer is 14.48 
<span>Set 2</span> The 1st consecutive integer is -14.48The 2nd consecutive integer is -13.48Hopefully this helped, hard work lol :)
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<u>Answers:</u>

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