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Show that the following system of equations has an infinite number of solutions. x+y+2z = -2; 3x-y+14z=6; x+2y=-5

Substitute values of one equation into another.

(1) x+y+2z = -2; (2) 3x-y+14z=6; x+2y=-5 (3).

Substitute x in (1) and (2) from (3).

We get -y+2z=3 in (1).

Answered by Egidijus S. • Maths tutor

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When the polynomial 3x^3 +ax+ b is divided by x−2 , the remainder is 2, and when divided by x +1 , it is 5. Find the value of a and the value of b.

Insert the negative values of the divisors and put them into the polynomial. x-2 -> P(2) = 34+2a+b=2 x+1 -> P(-1)=3(-1)+(-1)a+b=5. 22+2a+b=0 -8-a+b=0, then solve the simultaneous equa...

Answered by Egidijus S. • Maths tutor

18281 Views

Name several sort algorithms of an array, their working principles and their efficency.

Bubble sort (compare two elements and switch them if one of them is higher than other, depending on ordering preference), iterate over the whole array of elements. Efficency O(n²).

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Answered by Egidijus S. • Computing tutor

2689 Views

Name the memories in the computer and rate them by the amount of space and their price. When should which be used.

Processor memory (cache), RAM (Random Access Memory), Hard memory (Hard Drive, Magnetic Tapes, Solid State drive).

Processor is fastest, ram is next, hard is slowest.

Proce...

Answered by Egidijus S. • Computing tutor

2996 Views

Add the binary numbers 100101 and 101001 and convert them to decimal (they are unsigned integers). What are possible issues when adding the numbers?

The result is 1001110, which converted is 78. The problem that can occur is overflow, since original number is 6 digit, but result is 7, which may cause to drop the most significant bit and become 14 i...

Answered by Egidijus S. • Computing tutor

3668 Views