Answer:
Either (3,b) or (3,e) must be removed to form the above relation to be function.
Step-by-step explanation:
Given the relation between the elements of domain and range. we have to remove the link between two elements so that relation becomes a function.
A function is a relation in which each element in domain set maps into only one element of range set i.e one element can never have two images in range set.
Here, the element 3 in domain set maps into two element b and e in range set. Therefore, to form a function one link must be removed either
f(3)=b or f(3)=e
Hence, either (3,b) or (3,e) must be removed to form the above relation to be function.
Read more on Brainly.com - brainly.com/question/5314192#readmore
Answer:
1584 cu in.
Step-by-step explanation:
Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation
28 = 2^2(7)k = 28k
k = 1
Now V = r^2h
V = (12)^2(11) = 144(11) = 1584 cu in.
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
_____
<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
Answer: 7, 2 in order.
Step-by-step explanation:
We can combine like terms.
5 - 4 + 1 = 2.
Therefore, 5 - 4 + 7x +1 = 7x + 2.
Thus, the blanks are 7, 2 in order.
