MTH/213: Mathematics For Elementary Educators I = Homework: Wk 2 Homework
What is the greatest prime you must consider to test whether 3142 is prime?
The greatest prime to consider is

  2

Step-by-step explanation:

3142 is even, so you only need to test divisibility by 2.

Additional comment

For numbers in the neighborhood of 3142, you would usually consider testing primes up to the square root. That root is about 56, so the largest prime you'd use for testing would be 53.

In general, primes will end in odd numbers other than 5, so the numbers in the neighborhood that might be prime are 3143, 3149. (3141 has a sum of digits of 9, so you know it is divisible by 9. 3147 is 6 more, so is divisible by 3.)

The nearest primes are actually 3137 and 3163.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204