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Leno4ka [110]
3 years ago
8

Calculate the average rate of change of the function f(x) = 3x2 over the interval 1 ≤ x ≤ 5.

Mathematics
1 answer:
rewona [7]3 years ago
8 0
Average rate of change is delta y / delta x

(f(5)-f(1))/(5-1)

(75-3)/4

72/4

18
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Let S be the universal set, where:
kolezko [41]

A' = {7,8,10}

B' = {1,3,59}

Given,

Let S be the universal set, where:

S = {1,2,3,4,5,6,7,8,9,10}

Let sets A and B be subsets of S, where:

Set A = {1,2,3,4,5,6,9}

Set B = {2,4,6,7,8,10}

We need to find the elements in the set (A') and (B)'

<h3>What is a complement of a set?</h3>

A compliment of a set D is denoted by D' or D bar.

It means the set contains all elements in the universal set U other than the elements in set D.

Example:

U = {1,2,3,4,5,6,7,8,9}

D = {1,2,3,4,5}

D' = {6,7,8,9}

Find A' and B'

S = {1,2,3,4,5,6,7,8,9,10}

A =  {1,2,3,4,5,6,9}

B = {2,4,6,7,8,10}

A' = {7,8,10}

B' = {1,3,59}

Thus,

A' = {7,8,10}

B' = {1,3,59}

Learn more about the complement of sets here:

brainly.com/question/20319548

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3 0
2 years ago
The chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the num
Free_Kalibri [48]

Answer:

you should play the game with the probability of winning is one tenth

Step-by-step explanation:

If the probability of winning an instant prize game is one tenth, <u>then the odds in the game can be described as 1:9</u> . The odds are clearly better than the game with odds 1:10.

In other words,

If the odds of winning a instant prize game are​ 1:10, <u>then the probability of winning the game is one eleventh</u>. This is a lower probability than the game which has the probability of winning one tenth.

3 0
3 years ago
The expression (x - 0.35x) represents 35% off the cost of item x. How is this equivalent to multiplying x by 0.65?
myrzilka [38]

Answer:

It is equivalent.

Step-by-step explanation:

(x-0.35x) is (Total price-0.35 × the original price)=0.65×

7 0
3 years ago
Plot the numbers -1 1/2 on the number line below. ​
UkoKoshka [18]

Answer:

____|__♡__|___|_____________

0

where the heart is go left one and a half point

6 0
2 years ago
I can't figure it out. <br>2x+2y=2<br>-4x+4y=12<br>​
koban [17]

Answer:

how to solve 2x+2y=2 , -4x+4y=12

this is  solving equations using substitution .... i have ALOT more but i juss dnt get this stuff

2x + 2y = 2      -4x + 4y = 12

x + y = 1

x = 1 - y

-4x + 4y = 12

-4(1 - y) + 4y = 12

(-4 + 4y) + 4y = 12

-4 + 8y = 12

8y = 16

y = 2

2x + 2y = 2

2x + 2(2) = 2

2x + 4 = 2

2x = -2

x = -1

Check.

-4x + 4y = 12

-4(-1) + 4(2) = 12

4 + 8 = 12

Answer: x = -1 and y = 2

Step-by-step explanation:

6 0
2 years ago
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