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kiruha [24]
3 years ago
11

Prove this conjecture

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Consider the natural number n(n+1)(n+2).

If n is the natural number, then n+1, \ n+2 are next two natural numbers, so numbers n,\ n+1 and n+2 are three consecutive numbers.

Given three consecutive natural numbers, one of them is always even number and one of them is always multiple of 3, so the product

n(n+1)(n+2)

is divisible by 6.

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If the original cost of a TV is 1250.00 but decreases by 4.5% each week, how many weeks before the TV will cost 800.00?
NeX [460]
This is exponential growth/decay type problem...

F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case I=1250 and r=(1-.045)=0.955 so

F=1250(.955)^t  and we want to find t for when F=800 

800=1250(.955)^t

.64=.955^t  take the natural log of both sides...

ln.64=t ln.955

t=(ln.64)/ln.995

t≈9.69 weeks

t≈9.69 weeks (to nearest hundredth of a week)
4 0
3 years ago
Read 2 more answers
Callie bought 2 gallons of juice for $2.58 per gallon. She sold the juice in 1 cup servings for 75 cents each. Each servings is
Kryger [21]
Yes she got her money back. To be exact she made a profit of $6.84!

2.58+2.58=5.16 This is how much she has to make to make a profit.
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She made $12 in total :]

6 0
3 years ago
I need help with #2 and 3, any help?
Setler [38]
2) y=mx+b
y=-1/2x-2
b=-2 & m= -1/2 down negative one, right two (+)
6 0
3 years ago
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MAY SOMEONE HELP PLZ!!!
serious [3.7K]

#1

(-2,0)(0,1)

slope = (1-0)/(0+2) = 1/2

passing point (3,5)

y = mx + b

5 = 1/2(3) + b

5 = 3/2 + b

5 - 3/2 = b

7/2 = b or b = 7/2


equation

y = 1/2x + 7/2


8 0
3 years ago
Temperatures this cold are rare.
zhannawk [14.2K]

Answer:

-32°F

Step-by-step explanation:

8°F - 40°F

=> 32°F

3 0
3 years ago
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