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Evgesh-ka [11]
3 years ago
8

There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2

− 5n + 2) satisfies the property "2n2 − 5n + 2 is prime." Show that you can do this by entering appropriate values for n and 2n2 − 5n + 2.
Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

n = 0 or 3

Step-by-step explanation:

2n² - 5n + 2

2n² - 4n - n + 2

2n(n - 2) -1(n - 2)

(n - 2)(2n - 1)

Prime number is one which is divisible by itself and 1

n-2 = 1 n = 3

2n-1 = 1 n = 0

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Items in a store are marked down by 35% what is the sale price if the regular price is $3.29
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$3.29*0.65(because you're paying 65% of the original price)
$2.14(this answer is rounded up to 2.14. if you don't round, it is 2.13)
7 0
3 years ago
What is the solution to the equation 2(4-3x)+5(2x-3)= 20-5X2​
Alja [10]

Answer:

7-16x=10. I'm sorry I'm not good at math but it never hurts try, right?

Step-by-step explanation:

Multiply the parentheses first which would give you

8-6x+10x-15.

Next add 6x+10x which would give you

8-16x-15.

Then subtract 8-15 which would give you

7-16x=20-5x2. Then work the problem from there.

7-16x=20-10.

7-16x=10.

5 0
3 years ago
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant
Dvinal [7]

Answer:

y = 2x + 1

Step-by-step explanation:

Given a point and the slope, we can plug in these values into the equation to find the value of b:

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y = 2x + 1

6 0
3 years ago
Read 2 more answers
A circular swimming pool has diameter 60 feet and is centered in a fenced-in square region measuring 80 feet by 80 feet. a concr
borishaifa [10]
If I read the question correctly, the information about the 80x80 fencing and the grass region are all irrelevant information. 

In order to find the area of the side walk we are going to use the formula A=pi(r^2) where r = the radius. The diameter of the pool is 60 feet and the the sidewalk is 5 feet bigger all around meaning we had 5 feet to both sides of this 60 feet giving you an overall diameter of 70 feet (or 60 + 5*2). To find the radius take half of the diameter. 70/2 = 35. 

Now we plug in 35 to the equation. A = Pi(35^2) = 1225pi. Leave your answer like this as we are not finished and will need to round at the end for an accurate answer. This is NOT the end, that number is the area of the sidewalk AND the pool.

The sidewalk is not a full circle, just a border so we now have to find the area of the actual pool and subtract it from this 1225pi for the sidewalk's area. Same formula, Area = pi(r^2). The diameter of the pool is 60 meaning the radius is 30 (or 60/2). Plug into the equation, pi(30^2) = 900pi.

Now do 1225pi - 900pi to get 325pi. Break out your calculator and hit the approximation button. 325pi is approximately 1021.018 if rounded to 3 decimal places.

The area of the 5-foot wide sidewalk encircling the pool is approximately 1021.018 square feet. 


5 0
3 years ago
Need help don’t understand
seraphim [82]
1. 2x and 6y Because
y = 2x + 6
4 0
3 years ago
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