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Oksana_A [137]
3 years ago
15

Complete the sentence below. A function f is​ _____ on an open interval I​ if, for any choice of x1 and x2 in​ I, with x1less th

an
Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

Increasing if f' >0 and decreasing if f'<0

Step-by-step explanation:

Difference quotient got by getting

\frac{f(x+h)-f(x)}{h} will be greater than 0 if function is increasing otherwise negative

Here h is a small positive value.

In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.

Here given that for x1, x2 where x1<x2, we have

if f(x1) <f(x2) then the function is decreasing.

Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.

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What is 2 2/3×3 1/4 as a fraction form
fgiga [73]
The fraction form is 26/3 or 8 2/3
8 0
2 years ago
What is 714 divided by 14?
ivanzaharov [21]

Answer:

51

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Read 2 more answers
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20
lisabon 2012 [21]

Answer:

30 square feet.

Step-by-step explanation:

We have to find the main area of the rectangle to determine the changes.

We know, Area of a rectangle = Length × Width

Given,

Length = 12 feet

Width = 5 feet

Therefore, the area of the rectangle = (12 × 5) Square feet.

The area of the rectangle = 60 square feet.

Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.

If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.

The new area of that rectangle = (15 × 6) square feet = 90 square feet.

The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.

5 0
3 years ago
PLEASE HELP
mrs_skeptik [129]

Answer:

Im pretty sure its 21 pounds.

6 0
2 years ago
Write an expression that gives the area of the shaded region in the figure.
nikklg [1K]

Answer:

The mathematical expression is : (15 - 4) x (14 - 6) square feet.

The evaluation of this expression gives 88 sq ft.

Step-by-step explanation:

The length of the shaded region is (15 - 4) feet

The width of the shaded region is (14 - 6) feet

hence the expression for area is

(15 - 4) x (14 - 6) square feet.

fyi, if you work this out, you will get

(15 - 4) x (14 - 6)

=11 x 8

= 88 square feet.

5 0
2 years ago
Read 2 more answers
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