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3 years ago

Perform the indicated operation. (-9 + 21) - (-12 + 4) =

Mathematics

1 answer:

Trava [24]3 years ago

6 0

Answer:

Step-by-step explanation:

-9+21= 21

-12+4=-8

21-(-8)=29

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Z^m-n (z^m+ z^m+n + z^n)

rusak2 [61]

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

8 0

3 years ago

39. You need to rent a car for a trip. Wrecko'mend charges $. 10 a mile plus a $30 flat fee. Rent a Wreck

Wewaii [24]

i think this is a systems of equations

putting this on a graph we have to equations:

y = 10x + 30

y = 20x

graph and find the intersection.

it has to be more than or equal to 3 miles i think for wreckomend

5 0

3 years ago

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

$\frac{3.5}{x} = \frac{14}{18}$

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0

3 years ago

J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

DENIUS [597]

Answer:

The n th of the given sequence is $t_{n} = 26-6 n$

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is $d = second term- first term = 14-20=-6$

now the nth term of given sequence is

by using formula $t_{n}=a+(n-1)d$

$t_{n}= 20+(n-1)(-6)$

$t_{n}= 20-6 n+6$

final answer:-

$t_{n} = 26-6 n$

<u>verification</u>:-

$t_{n} = 26-6 n$

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

$t_{n} = 26-6 n$

3 0

3 years ago

Natalie buys a basketball for $25.57 and an air pump for $15.61. How much change will she receive if she pays for both items wit

DaniilM [7]

Answer:

8.82

Step-by-step explanation:

Add the basketball and airpump together and subtract from 50

3 0

3 years ago

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