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vagabundo [1.1K]
3 years ago
15

Is a integer a rational number

Mathematics
2 answers:
Anna [14]3 years ago
4 0
Yes, it is. Integers, whole numbers, and natural numbers are all rational numbers. 
mel-nik [20]3 years ago
3 0
Yes. it is. a rational number includes whole,natural and integers
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Twenty students are members of the school debate team. Five
harkovskaia [24]

Answer:

75%

Step-by-step explanation:

\frac{15}{20} as a percent = 75%, or 0.75 in decimal form.

8 0
2 years ago
If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Lelechka [254]

Answer:

\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)

So we can say that

a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab

and we can notice that

a^2+b^2=(a+b)^2-2ab so

(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab

it comes

x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}

multiply by 3

3x^2-20x+2*16+5=3x^2-20x+37

4 0
3 years ago
Peter is the owner of a hotel. He has found that when he charges the nightly cost of $139, the average occupancy is 275. In addi
zimovet [89]

Answer:

Without price increase, Cost/night = $119

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Cost/night = $119 + 15x Occupancy = 372 - 25x

Answer:

The nightly cost with x $15 price increases is $119 + 15x.

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2 years ago
Select the function that represents a geometric sequence.
jeka57 [31]

Answer:

A.

A(n) = P(1 + i)^n-1, where n is a positive integer

6 0
3 years ago
Read 2 more answers
What are some steps you might take after coming to a solution? Check all
Paraphin [41]

Answer:

A and B and E

Step-by-step explanation:

because u always double check

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2 years ago
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