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soldi70 [24.7K]
3 years ago
13

HELP ME PLEASE!!!!!!!

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0
It’s the first answer

He can’t just decided what x is he has to solve for it
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4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
3 years ago
Choose the equation below that represents the line passing through the point (2, - 5) with a slope of −3.
ad-work [718]

Answer:

the equation of the line is y=-3x+1

have a great day! hope this helped :D

8 0
3 years ago
Bucket with 20 chips. The chips in the bucket
vesna_86 [32]

Answer:

8 blue chips and 12 red

Step-by-step explanation:

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2 years ago
Which words in the sentence are the indirect objects?
Ann [662]
A. Gloria because Gloria isn't being showed something shes the one showing something to someone else.
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
boyakko [2]

Answer:

Step-by-step explanation:

y=59(0.59)ˣ

As the number under the exponent is less than 1, this is a decay function.

Value of y will be decreased by (1.00 - 0.59)100 =  41% for each unit increase in x.

3 0
3 years ago
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