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kenny6666 [7]
3 years ago
11

H(x) = x2 + 1 k(x) = x – 2 (h – k)(3)=

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

5

Step-by-step explanation:

h(x) = x² + 1

k(x) = x - 2

(h - k)(3)

Plug x as 3.

h(3) - k(3)

3² + 1 - 3 - 2

Evaluate.

9 - 4

= 5

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12. It takes Daphne 25 minutes to assemble a model plane. During her work
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Step-by-step explanation:

7 0
2 years ago
U=(1,2,3,4,5,6,7,8),a=(1,3,5,7), b=(4,5,6) is it true statement
kvv77 [185]

<u>Answer:</u>

U=(1,2,3,4,5,6,7,8), a=(1,3,5,7), b=(4,5,6) is false statement

<u>Solution:</u>

Given, two sets are a = (1, 3, 5, 7) and b = (4, 5, 6).

And their union set is U = (1, 2, 3, 4, 5, 6, 7, 8)

We have to find that whether above sets are true or not.

We know that, union of two sets will have the all elements in the two sets except the repeated elements.

Now, according to our knowledge.

Union of a and b = (1, 3, 5, 7, 4, 6)  

Now compare the given union set with our set.

After comparison we can say that, both are not equal which means that given union set is false set.

Hence, given statement is false.

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2 years ago
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Step-by-step explanation:

6 0
3 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0
2 years ago
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