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blagie [28]
3 years ago
11

Find two numbers a and b such that a+b=0 and ab=36

Mathematics
1 answer:
PolarNik [594]3 years ago
4 0

Answer:

b = 6i   then a = -6i

b = -6i   then a = 6i

Step-by-step explanation:

a+b=0

ab=36

a = -b

a(b) = 36

-b * b = 36

- b^2 = 36

b^2 = -36

Take the square root of each side

sqrt(b^2) = sqrt(-36)

b =± 6i

a = - (± 6i)

so b = 6i   then a = -6i

b = -6i   then a = 6i

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What is the product of 3a + 5 and 2a2 + 4a – 2?
Triss [41]

Answer:

6a^3+ 22a^4+ 14a-10

Step-by-step explanation:

6a^3 10a^2 12a^2 20a -6a -10

7 0
3 years ago
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

5 0
3 years ago
Can someone explain to me what this means
prisoha [69]

Answer:

2*2*2*3*5

Step-by-step explanation:

It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.

3 0
2 years ago
Read 2 more answers
Bonds from the city of tavel gorge worth $1,000 each are selling at 110.611. if sean wishes to purchase three such bonds, how mu
umka2103 [35]

The amount that will be expected to be paid for the bonds that are bought will be C. $3,318.33

<h3>How to calculate the amount of bonds?</h3>

From the information given, the bonds from the city of tavel gorge worth $1,000 each are selling at 110.611 and Sean wishes to purchase three such bonds.

Therefore, the amount for the bonds will be:

= 1110.611 × 3

= 3,318.33

In conclusion, the correct option is C.

Learn more about bonds on:

brainly.com/question/2775110

#SPJ4

8 0
2 years ago
The ten's digit of a two digit number is 1 more than 4 times the units' digit. if 63 is subtracted from the number, the order of
ser-zykov [4K]
Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1

<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63

x = 4y + 1 ------------ (1)
9x - 9y = 63  ---------- (2)

Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)

x = 4(2) + 1 = 9

x = 9, y = 2
The number is 92

3 0
3 years ago
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