If one ream of bondpaper costs (3x-4)pesos,how many reams can you buy for (6x^4-17x^3+24x^2-34x+24)
1 answer:
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Given:
Spoilage rate of fruits = 9% = 0.09
To find:
Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.
Solution:
Let the required amount of fruits you should order be x.
So, spoiled fruits = 9% of x = 0.09x
He would like to have 100 pounds of peaches to sell.
Divide both sides by 0.91.
The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.
Answer:
(a)∀ r∈ℝ, r∈ℚ, r³∈ℚ
(b)True
Step-by-step explanation:
Definition
1. A real number is said to be rational if and only if there exists two integers a and b such that where b≠0.
2. If the product of three numbers is zero, then at least one of the numbers must be zero.
Given Statement
The cube of any rational number is a rational number.
This can be rewritten as:
For all real numbers, if the number is rational then its cube is rational.
If we introduce our variable r,
For all real number r, if r is rational, then r³ is rational.
∀ r∈ℝ, r∈ℚ, r³∈ℚ
(b)The Statement is True.
To prove: The cube of any rational number is rational.
Proof:
We assume that r is a rational number and prove that its cube is a rational number.
By definition, there exists integers a and b such that:
where b≠0.
Since the cube of an integer is also an integer, a³ and b³ are also integers.
Since b is non-zero, then the zero product property tells us that its cube is also non-zero.
Conclusion:
is rational since a³ and b³ are integers and b is non-zero.