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Lynna [10]
2 years ago
8

Match each polynomial with its degree

Mathematics
1 answer:
slega [8]2 years ago
5 0

Answer:

d

b

a

c

Step-by-step explanation:

degree 1 -  5x+5  -  d.

degree 2-    3x^2-2x+4-  b.

degree  3 -  1/2x^3+8x^2-3-    a.

degree 4 -  x^4+(x+4)^2- c

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Simplify and write the complex number in standard form 4i(7+6i)+2i(5-2i)
Bezzdna [24]

Answer:

20i² + 38i

Step-by-step explanation:

4i(7+6i)+2i(5-2i)

28i + 24i² + 10i - 4i²

24i² - 4i² + 28i + 10i

20i² + 38i

3 0
2 years ago
Read 2 more answers
A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the
dangina [55]

Answer:

the number of miles is 160

Step-by-step explanation:

The computation is given below:

Let us assume the miles be x

For company A

y = $100 + $0.40x

And, for company B

y = $20 + $0.90x

In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost

SO,

$20 + $0.90x > $100 + $0.40x

Subtract $20 from both sides

0.90x > 80 + 0.40x

Now subtract 0.40x from both sides

0.50x >80

x>160

So the number of miles is 160

6 0
3 years ago
Given the function f(x) = 2x, find the value of f−1(32). (1 point) f−1(32) = 0 f−1(32) = 1 f−1(32) = 5 f−1(32) = 16
lara31 [8.8K]

The value of the inverse function at x = 32 will be 16. Then the correct option is D.

<h3>What is a function?</h3>

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = 2x

Then the inverse function of the f(x) will be

2f⁻¹(x) = x

 f⁻¹(x) = x / 2

Then the value of the inverse function at x = 32 will be

f⁻¹(32) = 32 / 2

 f⁻¹(x) = 16

Then the correct option is D.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

3 0
2 years ago
A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs
sergey [27]

Answer:

(A) 0.0244

(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive

Step-by-step explanation:

The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).

(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.

The accurate probability is gotten when 50 is divided by 2048

50÷2048 = 0.0244

(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;

- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.

- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).

- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.

5 0
3 years ago
Simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)​
Umnica [9.8K]

Answer:

  \dfrac{5}{x^3-12x^2+47x-60}

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  \dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

6 0
2 years ago
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