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aleksandr82 [10.1K]
3 years ago
12

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 16 + 2x − x^2, [0, 5]

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>

Step-by-step explanation:

To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.

at x = 0;

f(0) =  16 + 2(0) − 0²

f(0) = 16

at the other end point i.e at x = 5;

f(5) =  16 + 2(5) − 5²

f(5) = 16 + 10-25

f(5)= 26-25

f(5) = 1

The absolute minimum value is 1  and  occurs at x  = 5

The absolute maximum value is 16 and  occurs at x  = 0

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4 0
3 years ago
Read 2 more answers
A wire is (7x – 3) meters long. A length of (3x – 4) meters is cut for use(a) How much wire is left?
ipn [44]

Answer:

The amount of wire left is 4x + 1

Step-by-step explanation:

Initially, the wire is (7x - 3) meters long.

A length of (3x - 4) meters is cut.

How much wire is left?

Initial amount subtracted by the amount that is cut. So

(7x - 3) - (3x - 4) = 7x - 3 - 3x + 4

We combine the like terms

7x - 3x - 3 + 4 = 4x + 1

The amount of wire left is 4x + 1

6 0
3 years ago
Solve equations: 3|x+4|=6<br><br> | = absolute value
Anestetic [448]

Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.

|<em>3x - 4</em>| = 5<em>and</em> |3<em>x - 4</em> = a^5 Because you need 2 answers, you have to make 5 positive and negative.

Another way to write this equation would be...

5=|3x-4|=—5

Now lets continue...

5=3x-4=—5

Add 4 to both sides...

9=3x=—1

Now divide by 3...

3=x= -1/3

So the solution is...

X={-1/3  3}

7 0
3 years ago
Read 2 more answers
Which of the following points is in the solution set of y &gt; -x2 + 5?
Stella [2.4K]
Its the third option (2, 4)
7 0
3 years ago
Read 2 more answers
Describe the steps on how to graph the ordered pair ( - 3, 4)​
larisa [96]

Answer:

find -3 on the graph on the left side. and go four up from there

Step-by-step explanation:

6 0
3 years ago
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