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yawa3891 [41]
3 years ago
11

Represent -5/3 and 5/3 on a number line.​

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

Answer

hope this helps

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Zander wants to find out what the most popular sporting event is in the district’s high schools. He surveys a sample of the popu
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Answer:

Surveying a sample would be valid if the population contains a diverse group of people.

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3 years ago
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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
Which equation requires the division property of equality to be solved?
Ymorist [56]

Answer:

A. 201.6 = 11.2f

Step-by-step explanation:

we solve for each unknown to verify which equality will require the division property:

#A. 201.6 = 11.2f

201.6=11.2f\\\\f=\frac{201.6}{11.2}=201.6\div 11.2\\\\=18

Hence, division property used.

#B. 35.4=Z ÷ 3.1

35.4=Z\div 3.1\\\\35.4=\frac{Z}{3.1}\\\\Z=35.4\times 3.1\\\\=109.74

Hence, multiplication property used.

#C. t/3.2=15.1

\frac{t}{3.2}=15.1\\\\t=15.1\times 3.2\\\\=48.32

Hence, multiplication property used.

#D. 201.6 = 11.2+c

201.6=11.2+c\\\\201.6-11.2=c\\\\c=190.4

Hence, subtractionproperty used.

5 0
3 years ago
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Prove the converse of the Pythagorean theorem using similar triangles. The converse of the Pythagorean theorem states that when
Whitepunk [10]

Answer:

I don't how to exactly put the explanation in words I hope this helps you

Step-by-step explanation:

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Eric wants to double protect his flower bed with a regular hexagonal shaped fence surrounded by a rectangular fence. How many fe
kati45 [8]

Answer:

78 feet

Step-by-step explanation:

<em>COmplete Question is in attached image.</em>

<em />

Eric will want to buy fencing that is sum of perimeter of the square border outside and hexagon inside.

Perimeter is the sum of all sides.

Perimeter of hexagon is sum of 6 sides.

Each side is 5, so

Perimeter of Hexagon = 5 + 5 + 5 + 5 +5 +5 = 30

Now,

Perimeter of Square is sum of all 4 sides measuring 12 each, so

Perimeter of Square = 12 + 12 + 12 + 12 = 48

Total amount of fencing needed = 30 + 48 = 78

4 0
3 years ago
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