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brilliants [131]
3 years ago
11

How can you determine whether a rational number will have a terminating or a repeating decimal

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

You can determine this by putting the rational numbers in decimal form.

Step-by-step explanation:

A rational number like 1/2 will have a terminating decimal answer = 0.5

A rational number like 7/11 will have a terminating decimal answer = 0.636 where 36 is repeating.

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Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)
Savatey [412]

For this case we must factor the following expression:

x ^ 2-7x-10

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}

Where:

a = 1\\b = -7\\c = -10

We replace:

x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}

So, the roots are:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

Answer:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

6 0
3 years ago
What is the value of x?
kykrilka [37]

Answer:

82

Step-by-step explanation:

triangle adds upto 180 degrees

180 - (53+45) = 98

Then two lines adapt to 180 degrees

therefore, 180 -98 = 82

4 0
2 years ago
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What is the value of 7r​
lara31 [8.8K]
Is there an image so I can see
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3 years ago
Victor is ordering pizzas for a party. He would like to have 1/4 of a pizza for each guest. He can only order whole pizzas, not
sertanlavr [38]
7 pizzas, because you would divide 27 by 4 and get 6.75 and then round it up to 7.

Hope this helped :)
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3 years ago
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The more frequently heroin is used, the greater the risk of permanent damage of addiction or dependence.
gulaghasi [49]
Answer...... True

Explanation:
heroin is a addictive substance and the more you take it the greater risk of developing short and long term effects
4 0
3 years ago
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