QUSTUN 5

Mathematics

2 answers:

MaRussiya [10]2 years ago

8 0

Answer:

It removes the repeating part of the decimal from the equation.

kotykmax [81]2 years ago

5 0

Answer:

It removes the repeating part of the decimal from the equation.

Step-by-step explanation:

Described here is the process of converting the repeating decimal fraction into fraction in the form of p/q

1) --------------

x = 0.555555

2) --------------

10x = 5.555555

3) --------------

10 x - x = 5.555555 - 0.555555
9x = 5
x = 5/9

So the purpose of step 3 here is to remove the repeating part of the decimal from the equation

Correct option is the first one.

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A function f is _____ on an open interval I if, for any choice of x1 and x2 in I, with 1 less than

Zepler [3.9K]

Answer:

If $f(x_1)\leq f(x_2)$ whenever $x_1\leq x_2$ f is increasing on I.

If $f(x_1)\geq f(x_2)$ whenever $x_1\leq x_2$ f is decreasing on I.

Step-by-step explanation:

These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:

When you choose any two numbers $x_1\leq x_2$ on I and compare their image under f, the following can happen.

$f(x_1)\leq f(x_2)$ . Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.

$f(x_1)\geq f(x_2)$ . The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.

Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.

3 0

2 years ago

1/3 of the fish in the tank are snappers. 2/9 of the fish are catfish and the rest are goldfish. There are 40 goldfish in the ta

Paraphin [41]

Find fraction of snappers and catfish:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Find fraction of goldfish:

1 - 5/9 = 4/9

4/9 = 40 goldfish

1/9 = 40 ÷ 4 = 10

9/9 = 10 x 9 = 90

Answer: 90 fish in the tank