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Fantom [35]
3 years ago
8

1.) Explain how u can use absolute value to tell whether the sum of two integers is positive or negative?

Mathematics
2 answers:
stealth61 [152]3 years ago
6 0

Answer:

To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.

UkoKoshka [18]3 years ago
3 0

Answer with explanation:

Absolute value of any number=Always Positive

⇒Suppose,a and b are two integers.Then

→|a|-|b|

--If a> b, then |a|-|b|=a-b, will be Positive.

--If, a<b, then |a|-|b|=a-b, will be Negative.

→If we calculate

  |a|+|b|=a+b

it will be always positive.

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Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
zloy xaker [14]
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.

"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4

Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

[15, ∞)

In set builder notation it would look something like this:

{x | x ∈ R, x ≤ 15}

It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
7 0
3 years ago
Find the equation of the line that contains the point (4,-2) and is perpendicular to the line y = – 2x + 5
velikii [3]

Answer:

--2

Step-by-step explanation:

hope this helps if not sorry

3 0
3 years ago
What is 3 examples of a rate?
atroni [7]

Answer:

Step-by-step explanation: For example, if a 12 ounce can of corn costs 55 cents the rate is 55 cents for 12 ounces. The first term in ratio is measured in cents the second term in ounces

5 0
2 years ago
There are several peaches on a plate. Mary took c peaches from the plate, Andrew took the remaining y peaches. How many peaches
Karolina [17]

Answer:

c+y peaches

Step-by-step explanation:

since the questions does not mention any peaches that are left over even after Andrew took the y peaches, the c amount and y amount are all that were on the plate.

8 0
3 years ago
Find the 44th term in the following<br> arithmetic sequence :<br> 2, 3, 4, 5, ...
Aleonysh [2.5K]

Answer:

45

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 - 2 = 1, thus

a_{44} = 2 + (43 × 1) = 2 + 43 = 45

4 0
3 years ago
Read 2 more answers
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