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Tatiana [17]
2 years ago
12

Can anyone help with my homework it would be greatly appreciated.

Mathematics
1 answer:
choli [55]2 years ago
3 0
63.5 if u want working out let me know
You might be interested in
Please someone do this for me
nlexa [21]

Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

y=2x-8

x = -2

y=2(-2)-8=-4-8=-12

A = -12

x = 0

y = 2 (0)-8=-8

B = -8

x = 2

y = 2 (2) -8 = 4-8 = -4

C = -4

Hope this helps

8 0
2 years ago
7) PG & E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many
BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

============================================================

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>
5 0
2 years ago
The depth of a swimming pool is 8.5 meters. what is half of the depth in millimeters
nydimaria [60]
Half of 8.5 is 4.25

4.25*100=4250
5 0
3 years ago
Read 2 more answers
At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum colle
anygoal [31]

Answer:

x + y = 330  and 9x + 16y = 4650

Step-by-step explanation:

At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum collects in admissions for the day is $4959. The total number of visitors is 319.

x = number of children

y = number of adults

x + y = 330

9x + 16y = 4650

4 0
3 years ago
You walk 1/5 miles to a music store. Then you walk another 1/3 miles to a shoe store. How many miles have you walked in all?
Ksivusya [100]
6 miles is my awnser

3 0
3 years ago
Read 2 more answers
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