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Aleks04 [339]
3 years ago
7

Find a counterexample for the statement. If p is prime, then p2 + 4 is prime.

Mathematics
1 answer:
uysha [10]3 years ago
7 0
P=2 then 2^2+4=8
P=11 then 11^2+4=125
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Solve the equation 8x-12=5+15
Anika [276]
8x-12 = 5+15
8x-12 = 20 
     8x = 32      +12 
       x = 4        ÷8

7 0
3 years ago
Read 2 more answers
Louise has only 5 cent, 10 cent, and 20 cent coins in her purse. She has 30 coins in total, and she has two more 10 cent coins t
Hoochie [10]
Let x =  number of 5 cent coins.
Then there are (x+2) 10 cent coins.
Let y = 20 cent coins.
Total coins: x+(x+2)+y = 30
2x+y=28       
y = 28-2x                             (1)
Total value: 0.05x + 0.1(x+2) + 0.2y = 3.80
0.15x + 0.2y + 0.2 = 3.80
0.15x + 0.2y = 3.60             (2)
Substitute (1) into (2).
0.15x + 0.2(28-2x) = 3.60
-0.25x + 5.60 = 3.60
2.00 = 0.25x
8 = x

From (1), obtain y = 28 - 2(8) = 12
Answer: (x+2) = 8+2 = 10 
Louise has 10 10-cent coins
3 0
3 years ago
there were 12 puppies but the number of puppies decreased by 25% when some were adopted. how many puppies remain?
Anni [7]

Answer:

9 puppies

Step-by-step explanation:

12*0.75=9

75% remains

3 0
3 years ago
Read 2 more answers
Four friends ate brunch together. They each paid the same amount.
Scilla [17]

sorry testing if my brainy works it hasn't been working right lately

5 0
3 years ago
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x2 − 1)3, [−1, 2]
Alja [10]

Given :

F(x)=3(x^2-1)

To Find :

the absolute minimum and absolute maximum values of f on the given interval

[-1,2] .

Solution :

Now , getting first order differential equation and equating its equal to zero.

\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0

So , x=0 is critical point .

Now , coefficient of x^2 is positive .

Therefore , it is increasing function after  x=0 .

So , min value will be at , x=0.

Min = (0^2-1)\times 3=-3

And maximum value will be the maximum at the x=2 because it is increasing function .

Max=(2^2-1)\times 3=9

Therefore , max and min value is 9 and -3 respectively .

Hence , this is the required solution .

3 0
3 years ago
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