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Oduvanchick [21]
3 years ago
14

For f(x) = 1/x-5 and g(x)= x^2-2 find A. (fog)(x) and B. (Gof) (6)

Mathematics
1 answer:
sesenic [268]3 years ago
7 0
For part a do f(g(x)) so 1/(x^2-2)-5 and for b do g(f(6)) go (1/(6-5))-5 (u substituted 6 in for x
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A line segment is a line between its endpoints.
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3 years ago
(08.01)Consider the following system of equations:
Anika [276]

Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.

5 0
2 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
30 tens - 3 tens 3 tenths
lubasha [3.4K]
300-30.3=269.7 because you barrow from 3 in 300 because you can't round into 0 and that equalled 7 and than you do 9-0=9 and there's 009.7 than you do 9-3=6 and that's 069.7 and you do 2-0=2 and there's 269.7
4 0
3 years ago
Answer what you can please!
Fed [463]

Answer:

Something's Fishy:

Domain = Time

Range = Gallons of water remaining.

Smart Phone, but is it a Smart Deal?

Domain = Weeks passing

Range = Interest ($)!!!!

Step-by-step explanation:

Something's Fishy:

First and foremost, Candice, very gently, removes the fish from the tank and places them into a clean, healthy, temporary environment.

AKA Candice glances to check if the coast is clear before chucking the fish into the nearest toilet as fast as possible. (Stop laughing, Fish deserve equal rights too [no, but really]).

Candice then begins to empty the tank, draining 10 gallons per minute.

Again, if you know anything of physics or mathmatical graph placement, the TIME variable will 9.99999999/10x be the independent variable, this won't change. Make it a rule of thumb, get the sharpie-tat, do whatever you need to do to remember it.

From a literal perspective, we can see that the water is draining at a constant rate. The rate isn't changing, but something IS. That "something" is the water remaining IN the tank per periodic interval.

Time is independent.

Puny water is dependent and inferior.

The fish are depending upon the hope that the one gassy guy from IT doesn't get to the toilet before Candice comes back.

The fate of the fish are dependent upon hoping the guy from IT doesn't have beans and cheese for lunch. (Remember Pompeii?! Anyone? Imagine Pompeii in a 2x2 ceramic & plastic can now :). You're welcome!)

End of story.

Smart Phone, but is it a smart deal?

Your cousin is ripping you off. He knows it, his momma knows it, and the dog knows that it's hungry, and it will definitely eat the phone. Yeah, the dog knows it too.

Every week that passes, cuzzo gets double the cash from you to pocket. It's all fun and games until 30 weeks have passed and you're two-feet in the grave of debt, because you always chose McDonalds over settling debts.

Because CUZZO (that conniving worm) knew that your INTEREST was dependent upon the number of weeks it'd take you to pay cuzzo his cash back.

Hope this helps!!

(No fish were harmed in the making of this post)

8 0
3 years ago
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