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Andreyy89
2 years ago
11

What is the cardinality of the power set B- (m,v,e,j,s,u,n,p,c,)

Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0

Answer:

jsa-ygso-fxk join here

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I Need to find the Function Operations​
Alinara [238K]

Answer:

1) (f+g)(x)=2x^2+3x-6

2) (f-g)(x)=2x^2+x

3) (f \cdot g)(x)=2x^3-4x^2-9x+9

Step-by-step explanation:

So we have the two functions:

f(x)=2x^2+2x-3\text{ and } g(x)=x-3

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

(f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)

Combine like terms:

=(2x^2)+(2x+x)+(-3-3)

Add:

=2x^2+3x-6

So:

(f+g)(x)=2x^2+3x-6

2)

(f-g)(x) is the same to f(x)-g(x). So:

(f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)

Distribute:

=(2x^2+2x-3)+(-x+3)

Combine like terms:

=(2x^2)+(2x-x)+(-3+3)

Simplify:

=2x^2+x

So:

(f-g)(x)=2x^2+x

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

(f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)

Distribute:

=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)

Distribute:

=(2x^3+2x^2-3x)+(-6x^2-6x+9)

Combine like terms:

=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)

Simplify:

=2x^3-4x^2-9x+9

So:

(f \cdot g)(x)=2x^3-4x^2-9x+9

4 0
3 years ago
Graded Assignment Unit Test, Part 2: More Math Models Answer the questions. When you have finished, submit this assignment to yo
Black_prince [1.1K]

Answer:

Y(n) = 400(2.5)^n

Y = 3,814,697 rice weevils

16.1 weeks

Step-by-step explanation:

To predict the population of rice weevil for any week after the start of the study ; wwe use an exponential function for this purpose :

y(n) = A(1 + r)^n

Where;

Y(n) = population at week n

r = growth rate ; n = number of weeks

A = initial population at the start of the study

r = 150% = 1.5

Hence, we have the equation :

Y(n) = 400(1 + 1.5)^n

Y(n) = 400(2.5)^n

B.)

Population after 10 weeks

n = 10

Y(10) = 400(2.5)^10

Y = 400 * 9536.7431640625

Y = 3814697.265625

Y = 3,814,697 rice weevils

C)

When population will reach 1,000,000,000

We have :

1,000,000,000 = 400(2.5)^n

1000000000 / 400 = 2.5^n

2500000 = 2.5^n

Take the log of both sides :

log(2500000) = nlog(2.5)

6.3979400 = n * 0.3979400

n = 6.3979400 / 0.3979400

n = 16.077649

n = 16.1 weeks approximately

5 0
2 years ago
What are the steps to convert a number from standard notation to scientific notation​
Margaret [11]

Answer:

Step-by-step explanation:

Let's take 4200 as an example.

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

3 0
2 years ago
PLZ HELP QUICK
Anvisha [2.4K]

Answer:

Step-by-step explanation:

First you have to do everything in the brackets, or [ ]. -7+-3--8 is equivalent to 8-3-7, which equals -2. After that you have to do the braces, or {}. That is -5--2, which is the same thing as 2-5, which equals -3. Finally, you can finish it out. -4--2--3 is equivalent to 3+2-4, which equals 1. Hope this helps!

3 0
2 years ago
How many strawberries will Maria need if she has three smoothies​
lora16 [44]

Answer:

how many dose she have

Step-by-step explanation:

8 0
3 years ago
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