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Vaselesa [24]
3 years ago
7

The product of three consecutive integers is -1716. what is the greatest of the three integers?

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

-11

Step-by-step explanation:

If we call x the least integer, then x + 1 is the next integer, and x + 2 is the greatest integer.

x (x + 1) (x + 2) = -1716

x (x² + 3x + 2) = -1716

x³ + 3x² + 2x = -1716

x³ + 3x² + 2x + 1716 = 0

That's not an easy equation to factor.  We could use rational root test, but that would take a long time.  However, we can narrow down the options logically.  The three integers are relatively close together, so if we approximated the product as x³:

x³ ≈ -1716

x ≈ -11.9

So let's see if x = -12 is a solution:

(-12)³ + 3(-12)² + 2(-12) + 1716 = 396

Nope.  Let's try x = -11:

(-11)³ + 3(-11)² + 2(-11) + 1716 = 726

Not that either.  Let's go the other direction, x = -13:

(-13)³ + 3(-13)² + 2(-13) + 1716 = 0

Aha!  x = -13.  So x + 1 = -12, and x + 2 = -11.

-11 × -12 × -13 = -1716

The greatest integer is -11.

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yaroslaw [1]
The answer is 9.5 ( rounded, answer is 9.486833)
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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
please help me with this question! i will give 40 points and brainliest! please help with answer and explanation. thanks you so
riadik2000 [5.3K]

Answer:

to find the sale price, you need to find what 34% of 82 is.

82 x 0.34 = 27.88

subtract that from the original price

82 - 27.88 = $54.12

you could also multiply 82 by (1 - .34) to get the same answer

82 x (.66) = $54.12

sale price is $54.12

hope this helps:)

Step-by-step explanation:

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3 years ago
What is 24/36 simplified?
zhuklara [117]
Did it the longer way but i hope it helps you out.... Answer: 2/3

4 0
3 years ago
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Bcc Medical Radiography program had 139 graduates. There were 25 more females than males. How many females and males graduated?
NISA [10]
F=m+25

m+f=139, using f from above we have:

m+(m+25)=139

2m+25=139

2m=114

m=57, and since f=m+25

f=82

So there are 57 males and 82 females.
8 0
4 years ago
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