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Readme [11.4K]
3 years ago
5

If you shift the linear parent function, f(x) = x, up 6 units, what is the equation of the new function?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0
2 years late. Here is the answer for people in the future. It is D. g(x)=x-6
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(1 point) Consider the universal set U={1,2,3,4,5,6,7,8,9,10}, define the set A be the even numbers, the set B be the odd number
Sloan [31]

Answer:

a) AUC = {2,4,6,8,10}

b) BnC = {}

c) AnB = {}

d) B-C = B = {1,3,5,7,9}

Step-by-step explanation:

The set A is the even numbers, those that are divisible by two.

So A = {2,4,6,8,10}

B is the odd numbe.rs. An odd number is a number that is not divisible by two.

So B = {1,3,5,7,9}.

C = {4,5,6}, as the problem states

a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.

So AUC = {2,4,6,8,10}.

b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.

There are no elements that are in both B and C, so the intersection is an empty set

BnC = {}

c) Same explanation as b), there are no elements that are in both A and B, so another empty set.

AnB = {}

d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:

B-C = B = {1,3,5,7,9}

6 0
3 years ago
A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rat
snow_lady [41]

Your question: A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.

Answer: 1730

That's the answer mate, if you need more help or if you need to know how I got the answer.. just message me.

Good luck!

6 0
3 years ago
What is the distance between -8/5 and -3/5<br> A.-1<br> B.1<br> C.11/5<br> D. -11/5
Maurinko [17]

Answer:

1

Step-by-step explanation:

Subtract the two numbers and take the positive value  ( since distance is positive)

-8/5 - (-3/5)

-8/5 + 3/5

-5/5

-1

Taking the positive value, 1

4 0
3 years ago
Ms.Holmes decided to water her plants.She had 2 1/2 gallons of water.She gave each plant 1/4 gallon of water.Which expression co
Inessa [10]

Answer:

(1/4)x=2 1/2

Step-by-step explanation:

It is 2.5 gal. of water and 0.25 gal. of water per plant.

It could also be x=(1/4)/(2 1/2)

6 0
3 years ago
Please answer correctly see image bellow.
shepuryov [24]

Answer:

51.9 sec

Step-by-step explanation:

4 0
3 years ago
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