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Lelu [443]
3 years ago
8

Please help I have a quiz soon

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

Answer:

The option that no represent a linear function is f(x)=3^x

Step-by-step explanation:

we know that

The graph of a linear function is a straight line

The equation of a linear function in slope intercept form is equal to

f(x)=mx+b

where

m is the slope

b is the y-intercept

<u><em>Verify each case</em></u>

option 1) we have

f(x)=3x-2

This option represent a linear function

where

m=3

b=-2

option 2) we have

f(x)=x

This option represent a linear function

where

m=1

b=0

This option represent a linear direct variation function

option 3) we have

f(x)=3^x

This option not represent a linear function

This option represent a exponential function

option 4) we have

f(x)=3x

This option represent a linear function

where

m=3

b=0

This option represent a linear direct variation function

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Find the area of a trapezium whose parallel sides are 28.7 cm and 22.3 cm and distance between parallel sides is 16 cm.
puteri [66]

Given:

The parallel sides of a trapezium are 28.7 cm and 22.3 cm.

The distance between parallel sides is 16 cm.

To find:

The area of a trapezium.

Solution:

The area of the trapezium is:

A=\dfrac{a+b}{2}h

Where, a,b are parallel sides and h is the vertical distance between the parallel sides.

Putting a=28.7, b=22.3,h=16 in the above formula, we get

A=\dfrac{28.7+22.3}{2}\times(16)

A=\dfrac{51}{2}\times 16

A=51\times 8

A=408

Therefore, the area of the trapezium is 408 square cm.

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3 years ago
How to verify 15^3 - 4^3 - 11^3 using identities​
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Answer:

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Step-by-step explanation:

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3 years ago
A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is tak
sveta [45]

Complete question:

A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is taken of 100 shoppers at this store. Of these 100, 73 are women. The shoppers The data is summarized below. we grouped in three age categories, under 30, 30 up to 50 and 50 and over. Women under 30 are 30, Men under 30 are 8 Women 30 to 50 are 25 and Men are 14 Women 50 and over are 18 and Men are 5.

Let W be the event that a randomly selected shopper is a woman. Let A be the event that a randomly selected shopper is under 30. a.) Find the probability of W. W (women Shoppers) = Find the probability of A. b.) Find the probability of A and W. c.) P (A and W) (Shoppers) d.) Find the probability of A or W. P(A or W) (Shoppers) e.) Find the probability of A given W

Answer:

A) P(W) = 73/100; B) P(A) = 38/ 100 C) 30 / 100

D) 81/100 E) 30/73

Step-by-step explanation:

- - - - - - - - Women Men Total

Under 30 - - - 30 - - - 8 - - 38

30 to 50 - - - - 25 - - 14 - - 39

50 & over - - - 18 - - - 5 - - -23

Totals - - - - - - 73 - - -27 - - 100

Recall:

Probability : P= (required outcome / Total possible outcomes)

A) probability of women shoppers: P(W)

Number of women shoppers = 73; total shoppers = 100

P(W) = 73/100

B) Probability of under 30: P(A)

= number of shoppers under 30 = 38

Tital number of shoppers = 100

P(A) = 38/ 100

C) probability of A and W; This is the probability that the selected person is a woman and under 30.

(W n A) = 30

= 30 / 100

D) probability of A or W:

P(A) + P(W) - P(A n W) :

(38 / 100 + 73 / 100 - 30 / 100) = (38+73-30) /100

= 81/100

E) probability of A given W:

P(A n W) / P(W) = 30/73

5 0
3 years ago
The states C and D spend a total of ​$56.6 million for tourism. The state C spends ​$2.6 million more than the state D. Find the
igomit [66]

Answer:

State C : $30.9 Million       State D : $25.7 Million

Step-by-step explanation:

It may help to just forget about the word "million" and focus on the decimal number part,so one you get the deciaml number you can just put the word million after it as your answer.

First do 56.6 divided by 2, which equals 28.3. Since it said that State C spends 2.6 million more, you hvae to add 28.3 and 2.6 together, which also equals 30.9. So now you know State C spends $30.9 million total. In order to find out how much money State D sends, you have to do 56.6 - 30.9,which comes up to 25.7. So finnaly you know that State C spends 30.9 million dollars and State D spends 25.7 million dollars.

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Answer:

B) The exponential function will eventually exceed the linear function.

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