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3 years ago

50 POINTS PLS HELP!!!

Mathematics

1 answer:

Viefleur [7K]3 years ago

7 0

Answer:

1.) 90 ways

2.) 15,600 ways

3.) 24 ways

Step-by-step explanation:

1.) Let's say we are given 2 digits not equal to each other...The number of different orderings would be 2*1 = 2, or if we wanted the number of ways to order 2 digits chosen : 10*9 = 90 ways

2.) The number of ways to arrange 3 letters from 26 letters is:

26 Permutes 3 = 26! / (26 -3)! = 26*25*24 = 15,600 ways to choose 3 letters in a certain order

3.) 4 different chores. The number of ways to do them = 4*3*2 *1 = 24 ways

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Step-by-step explanation:

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3 years ago

Q(a+1) - 2q(a) if q(x) = x²+3x+4

siniylev [52]

$q(x) = {x}^{2} + 3x + 4$

_________________________________

Step(1)

To find q(a) we just need to put a instead of x in q(x) function.

Let's do it...

$q(a) = {a}^{2} + 3a + 4$

Multiply sides by -2 :

$- 2q(a) = - 2( {a}^{2} + 3a + 4)$

$- 2q(a) = - 2 {a}^{2} - 6a - 8$

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Step (2)

To find q(a+1) we just need to put a+1 instead of x in q(x) function.

Let's do it...

$q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\$

$q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\$

$q(a + 1) = {a}^{2} + 5a + 8$

_________________________________

Step (3)

$q(a + 1) - 2q(a) =$

${a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\$

$- {a}^{2} - a = - a(a + 1)$

And we're done.

Thanks for watching buddy good luck.

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3 years ago

How much more area does a large pizza with a 12 in. diameter have than a small pizza with an 8 in. diameter? Round your answer t

ivolga24 [154]

Answer: About 63 in²

Step-by-step explanation:

Area of circle = π · r²

r = radius length
π ≈ 3.14

Area of large pizza:

$\pi *r^{2} =3.14*6^{2} =3.14*36=113.04$

Area of small pizza:

$\pi *r^{2} =3.14*4^{2} =3.14*16=50.24$

Difference in area:

$113.04-50.24=62.8$

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How many booths and tables are there altogether?

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