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puteri [66]
3 years ago
14

PLEASE HELP! Solve for q(x) and r(x). (4x^3-3x^2+5x-7)/(x-2) = q(x)+ r(x)/(x-2)

Mathematics
1 answer:
Lerok [7]3 years ago
7 0
Asked and answered elsewhere.
brainly.com/question/9169487
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Is a relation always a function? Is a function always a relation? Explain.
katen-ka-za [31]

A function is always a relation but relation is not always a function

<u>Solution:</u>

Given that, we have to explain Is a relation always a function and is a function always a relation

Note that both functions and relations are defined as sets of lists.  

In fact, every function is a relation. However, not every relation is a function.  A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.

That is, given an element x in X, there is only one element in Y that x is related to.

For example, consider the following sets X and Y. Let me give you a relation between them that is not a function;

X = { 1, 2, 3 }

Y = { a , b , c, d }

Relation from X to Y : { (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c

Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) }

This is a function since each element from X is related to only one element in Y. Note that it is okay for two different elements in X to be related to the same element in Y. It's still a function, it's just not a one-to-one function.

So, we can say that function is a type of relation.

Which means whatever a function occurs, it will be a relation from one set to other.

But when a relation occurs it may be a function but need not be always a function.

Hence, a function is always a relation but relation is not always a function.

8 0
2 years ago
EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell
expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0
3 years ago
When R2 is more useful than R in linear regression?
valina [46]
<span>Answer: Multiple R is the correlation between y and y^ in a regression model. It is always non-negative, but has no nice interpretation as a proportion of variance, unlike its square. I can't think of too many uses for it and only know of one stat package that routinely reports it, SPSS. Bivariate correlation only tells you about two variables at a time (though you can use partial correlation to remove other variables).</span>
6 0
2 years ago
Which expression is equivalent to sec²x - 1? A. cot²x B. tan²x C. CsC²x D. cos²x​
Andrei [34K]

Hi

Answer:

Step-by-step explanation:

3 0
1 year ago
Determine the measures of the angles of AMNO if the measures of the angles are in the ratio 2:4:6.
masha68 [24]

Answer:

60,120,180

Step-by-step explanation:

360:(2+4+6)=30

30×2=60

30×4=120

30×6=180

8 0
3 years ago
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