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vekshin1
3 years ago
14

Prove that the product of a nonzero rational number together with an irrational number is an irrational number.

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
Each time they assume the sum<span> is </span>rational<span>; however, upon rearranging the terms of their equation, they get a contradiction (that an </span>irrational number<span> is equal to a </span>rational number<span>). Since the assumption that the </span>sum of a rational<span> and </span>irrational number<span> is </span>rational<span>leads to a contradiction, the </span>sum<span> must be </span>irrational<span>.</span>
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What is the degree of <br>f (x) = -5x <br>it is a linear function?<br>What is the m and b?​
IRINA_888 [86]

Answer:

The degree is 1

It is a linear function

m = -5 and b = 0

Step-by-step explanation:

Here, we want to get the degree of the equation

As we can see, it is a linear function with the highest power of as 1

That means it is of degree 1

Comparing with the general form;

y = mx + b

m = -5

b = 0

3 0
3 years ago
Suppose a city with population 200,000 has been grown a rate of 4%.If the rate continues,find the population of this city in 19
FrozenT [24]
200000times0.04=8000
8000times19=152000
8 0
3 years ago
Tom saved $13 by buying a used car. He paid $5 less than half the price of a new car. How much did tom pay for the used car?
NeTakaya
The answer is $1.50. 

Reason being is because $13/$2 is $6.5 

Then after you divide you have to subtract $5 

Which will give you $1.50 
4 0
3 years ago
A box of marbles can be shared equally among 6, 7, or 8 students with 4 marbles left over each time. What is the least possible
kati45 [8]
Let n is the number of marbles.
when marbles are equally shared among 6, 7 or 8 students, each time 4 marbles left over.
To find the least number of marbles, first we find out what is the smallest number that can be divided to 6, 7 and 8.
Now you see that 6 and 8 are divisible by 2 but 7 is non- divisible.
if we take LCM of 6, 7 and 8 and find the smallest number.
2 I6,7,8
   -------
    3,7,4
Now multiply 2,3,7 and 4
2 x 3 x7 x 4 = 168
each time 4 marbles left so
least possible number of marbles in the box = 168 + 4 = 172
4 0
3 years ago
20 people paid 20 per person for food and only 30% was used how much money is left over
Alexxandr [17]

Answer:

280

Step-by-step explanation:

First determine how much was paid for food

20 dollars times 20 people

20*20 = 400

We used 30% of that

400 *30%

Change to decimal form

400 *.30

120 was used

How much was left

400-120 = 280

280 was left

7 0
3 years ago
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