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Bad White [126]
3 years ago
7

HELP ASAP!!! what similarities and differences did you notice between the three types of compound inequalities?

Mathematics
2 answers:
rodikova [14]3 years ago
8 0


Similarities


Adding or subtracting a number from both sides.

Multiplying or dividing both sides by a positive number.

Applying an increasing function to both sides.

Simplifying one or both sides.

Differences


Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.


Setler79 [48]3 years ago
4 0

Answer:Double inequalities are similar to and compound inequalities, in that their solutions need to satisfy two inequalities. However, solutions to or compound inequalities can include values that are included in either one of the two solution regions.

Step-by-step explanation:

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velikii [3]

Step-by-step explanation:

Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)

By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.

Domain: {x | all real numbers}

Range: {y | y > 4}

By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.

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Range: {y | y > 0}

7 0
3 years ago
What is Pythagoras Theorem ?
Nikitich [7]
Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a<em><u /></em>²+b²=c²
However, it can also be written in the form of c²=a²+b²
In order to find the hypotenuse, you will have the length of two sides, for example, these could be 3 and 4.
As 'C' is always the hypotenuse, you have to work out the two other lengths, and you do this by squaring the numbers.
3²=9 and 4²=16.
As you're looking for C, you've got to add these together
9+16=25
As a²+b²=c², this means that the answer for C is the square root of 25.
√25= 5

Hope this has been able to help you :) 
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3 years ago
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klemol [59]

Answer:

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Answer:

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Step-by-step explanation:

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3 years ago
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