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ANEK [815]
2 years ago
8

What is the range of the function?

Mathematics
1 answer:
alukav5142 [94]2 years ago
7 0

Answer:

all real numbers greater than or equal to 11

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By what percent will a fraction change if its numerator is decreased by 20% and its denominator is decreased by 60%?
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Answer:

The fraction will increase by 100%

Step-by-step explanation:

Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):

= \frac{0.8x}{0.4y}\\= 2 (\frac {x}{y})

You can see that by applying these changes, the new fraction is actually double the old fraction (i.e. will increase by 100%).

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3 years ago
Can someone help me with this
Brrunno [24]

Answer:

Step-by-step explanation:

8.) For a triangles sides to make sense, you must be able to add up two values of the triangle, and the result should be more than the third side. Add the lowest values and see if the result is greater than the biggest number:

4.2+7.9=12.1

12.1 is less than the given side, 13.3, so a triangle cannot have the lengths.

10.) 6<x<22

To find the range for the third side of the triangle, you need to find how small x can be (the missing side) and you need to see how large it can be.

You need to see how small it can be because any two sides have to be greater than the third side. You also need to see how big it can be because, if it's too big, the other two sides will be less than the third side, which would make an open shape (see picture).

To find the range, first see how small. Subtract the known sides:

22-6=16

So, x has to be greater than 16.

x > 16

Now add the known sides:

22+6=28

x needs to be less than 28 for the other two sides to be greater than x:

x < 28

Insert the inequalities into a single inequality:

16 < x <28

X has to be greater than x, but less than 28.

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