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vampirchik [111]
3 years ago
13

the slopes of two lines are 2 and -2. because of this we can conclude these two lines are which of the following?

Mathematics
1 answer:
Darya [45]3 years ago
3 0
Intersecting, as they would have one solution.
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Prove that there are infinitely many primes of the form 4k + 3, where k is a non-negative integer. [Hint: Suppose that there are
Simora [160]

Answer:

The prove is as given below

Step-by-step explanation:

Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.

Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.

Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.

So this indicates that there are infinite prime numbers of the form 4k+3.

6 0
3 years ago
Read 2 more answers
5. (05.02 MC)
IgorLugansk [536]

Answer:

what class is this for

please answer now

8 0
3 years ago
2. The cost for x gallons of heating oil can be represented by the function f (x) = 4x + 6. In the context
alisha [4.7K]
What do you mean I’m confused
3 0
3 years ago
Leah has two savings accounts with balances totaling $8,000. She withdrew 15% from one and
DedPeter [7]

Answer:930 Hope this Helps :D

Step-by-step explanation:

For the given problem:

Let the balances of the saving accounts be (x) and (y)

Leah has two savings accounts with balances totaling $8,000

so,

x+y=8000 (1)

She withdrew 15% from one and 40% from the other. If she has $6,350 remaining in the accounts

So, The remaining from the accounts will be (1 - 15%) and ( 1 - 40%)

that will give the decimals: 0.85 and 0.6

so, we can write the following equation:

0.85x+0.6y=6350 (2)

Now, solve the equations (1) and (2) to find (x) and (y)

From equation (1)

y=8000-x (3)

Substitute with (y) from equation (3) into equation (2)

0.85x+0.6*(8000)-x =6350

Now solve the equation

0.85x+0.6*8000-0.6x=6350

0.85x-0.6+4800+6350

0.25x=6350-4800

0.25x=1550

x=6200

Substitute with (x) into equation (3) to find (y)

y=8000-6200=1800

So, the larger account = x = 6200

and the smaller account = y = 1800



Now, we will answer the question, how much money did she withdraw from the account with the larger balance?

so, the answer will be: 15% of x = 0.15 * 6200 = 930



So, the answer will be $930

6 0
2 years ago
Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weigh of
viva [34]
Jennifer will get 7 kilograms of carrots.

To solve this, simply divide 28 by 4, which is the total number of people sharing the carrots altogether. You wouldn’t divide the number of carrots, 3, by 4, because that is additional info that is out there to throw you off track. Instead, to find the weight of the carrots that Jennifer would get, you would divide the total weight of the carrots by the people sharing them to get 7 kg.
4 0
2 years ago
Read 2 more answers
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