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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 the answer to 4x-5x+9=5x-9?
fiasKO [112]

Answer:

x=3

Step-by-step explanation:

First, combine like terms on the left side

4x-5x+9=5x-9

-x+9=5x-9

Subtract 9 on both sides

-x=5x-18

Subtract 5x on both sides

-6x= -18

Divide by -6 on both sides

x=3

Hope this helps! :)

5 0
4 years ago
Read 2 more answers
Use the substitution method to solve the system of equation.choose the correct ordered pair. 2
Jlenok [28]
I’m not sure if the 2 is counted in the equation or not

Since x=4, substitute it for x in the other equation

4+3y=29
3y=25
Y=8.333333333

2(4)+3y=29
8+3y=29
3y=37
y=12.33333333
7 0
3 years ago
15-8x Choose ALL of the statements that are TRUE. The factors are 8 and x. The coefficient is -8. The constant is -8. The terms
baherus [9]
<h3>3 Answers:</h3>
  • Coefficient is -8
  • Terms are 15 and -8x
  • Constant is 15

Explanation:

The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.

5 0
3 years ago
Read 2 more answers
Peter and his four brothers combined all of their money to buy a video game. If 30% of the total money is Peter's, and $12.00 of
kari74 [83]

Answer:

$20.00

Step-by-step explanation:

t represents the total amount

0.25t = 5.00

Can you solve for t and answer?

Or logically

Peter's $5.00 is 1/4 (25%) of the total.

Therefore 4/4 is $20.00

6 0
2 years ago
Read 2 more answers
PB_WITH_FSA_DIAG_6825_OL_FY21
astra-53 [7]

Answer:

uhm.....what?

Step-by-step explanation:

8 0
3 years ago
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