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4 years ago

Find the absolute maximum value of the function (picture shown)

Mathematics

1 answer:

hammer [34]4 years ago

3 0

Answer:

Step-by-step explanation:

The maximum on the first interval is at x=0, where 2·0 +1 = 1.

The maximum on the second interval is near x=0, where the function value is near 0² +1 = 1.

The absolute maximum value of the function is 1.

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the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the numbe

vaieri [72.5K]

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

Multiply both sides by n:

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

Multiply both sides by (n +1):

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

Expand:

xn= yn +y -a

a= yn +y -xn

Let's check!

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

3 0

3 years ago

A printer takes 7 minutes to print a document with 63 pages. How many pages

Artemon [7]

Create a proportion.

Since it takes 7 minutes to print 63 pages, and half an hour is 30 minutes, you create two ratios(unit per unit) and line up the units(minutes to minutes, pages to pages).

$\frac{7 min}{63 pages} = \frac{30 min}{Xpages}$

Now you cross multiply, 63 * 30 = 1890 and 7 * x = 7x.

So we have 1890 = 7x.

Then we divide both sides by seven.

$\frac{1890}{7} = \frac{7x}{7}$

270 = x, therefore you can print 270 pages in half an hour :)

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first way is play a match between all of them and select first Palace and second to be selected in the meeting

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Stells [14]

Answer:

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Step-by-step explanation:

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