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enot [183]
3 years ago
14

True or false, an equation with an integer coefficient will always have an integer solution.

Mathematics
2 answers:
Naily [24]3 years ago
6 0
False wanna know why?

x^2 - 2 = 2

has integer coefficients 
but the solutions are not integers
Sonja [21]3 years ago
5 0

Answer:

The statement is false.

Step-by-step explanation:

Consider the provided statement.

An equation with an integer coefficient will always have an integer solution.

Let's understand this with the help of an example:

x^2-3=0

Here the coefficient of x is an integer.

Now find the solution as shown.

x^2=3

x=\pm \sqrt{3}

Hence the solution for the equation is ±√3.

As we know √3 is an irrational number and it is not an integer,

Therefore, the above statement is false.

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timofeeve [1]
A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.

The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.
3 0
3 years ago
Every morning, Lillian collects eggs from the hens on her family's farm. She puts the eggs in cartons of 16. On Monday, Lillian
Mars2501 [29]
Answer- D)11
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5 0
3 years ago
In the data set below, what is the mean absolute deviation?
lbvjy [14]

Add the numbers and divide by 5 to get a mean of 6.4

8 - 6.4 = 1.6

4 - 6.4 = -2.4

7 - 6.4 = 0.6

8 - 6.4 = 1.6

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Add the absolute value of each: 1.6 + 2.4 + 0.6 + 1.6 + 1.4 = 7.6

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3 0
2 years ago
11 less than the product of a number and -4
denpristay [2]

Answer:

-4n - 11

Step-by-step explanation:

Step 1:  Convert words into an expression

11 less than the product of a number and -4

(n * -4) - 11

<em>-4n - 11</em>

<em />

Answer:  -4n - 11

<u>If needed solve</u>

-4n - 11 + 11 = 0 + 11

-4n / -4 = 11 / -4

<em>n = -2.75</em>

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3 years ago
At the hardware store, you purchased a box of nails for 17 dollar. You had a coupon that took off 20% from the nails. Sales tax
Vikentia [17]
(17-.2(17))+(17+.06(17))

5 0
3 years ago
Read 2 more answers
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