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Taya2010 [7]
3 years ago
6

Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = ln(x2 + 3x + 4), [−2, 2]

Mathematics
1 answer:
vivado [14]3 years ago
4 0
The vertex (minimum) of the quadratic ax² +bx +c is located at x=-b/(2a). This means the minimum value of f(x) will be found at x = -3/(2*1) = -1.5.

Since the vertex of the quadratic is less than 0, the maximum value of the quadratic will be found at x=2, the end of the interval farthest from the vertex.

On the given interval, ...
  the absolute minimum value of f is f(-1.5) = ln(1.75) ≈ 0.559616
  the absolute maximum value of f is f(2) = ln(14) ≈ 2.639057

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kirza4 [7]

Answer:

Option D: 3x2 +  2x - 1

Step-by-step explanation:

Given that:

=(5x2 - 5x + 3 )- (2x2 +7x- 4)

As we have to subtract them so by simplifying:

"-" sign will alter all signs in the bracket

= 5x2 - 5x + 3 - 2x2 + 7x - 4

Now by adding same terms

= 5x2 - 2x2 - 5x + 7x + 3 -4

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i hope it will help you!

5 0
3 years ago
Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. If she continues at this rat
Aleksandr-060686 [28]

Answer:

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

Step-by-step explanation:

What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes

Now, 55 ft will take her 234 minutes

x ft will take her 15 minutes

x * 234 = 55 * 15

234x = 3825

x = 3825/234

x = 16.35 ft

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

7 0
3 years ago
DO it for 50 it math please do it it due in 1 hour
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6 0
3 years ago
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Answer:

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Step-by-step explanation:

Since M represents the number of lessons he completes,

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Step-by-step explanation:

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