Question

Elena is programming a video game. She needs to simulate the power-up that the player gets when they reach a certain level. The computer can run a program to return a random integer between 1 and 100. Elena wants the best power-up to be rewarded 15% of the time. Explain how Elena could use the computer to simulate the player getting the best power-up at least 2 out of 3 times.

Answer 1

k = 13 ;

The smallest zero is x = -10

Explanation:

`f(x) = x^2+3x-10`

Where;

`x = x+5`

So;

`f(x+5) = (x+5)^2+3(x+5)-10`

`f(x+5) = x^2+10x+25+3x+15-10`

`f(x+5) = x^2+13x+30`

We all know that :
`x^2+kx+30`

where k is synonymous with 13

`x^2+13x+30 = 0`

solving this quadratic equation ; we have;

`(x+10)(x+3) = 0`

`x+10 = 0\ \ \ or \ \ \ x+3 = 0`

`x = -10 \ \ \ or \ \ \ x = -3`

Hence; The smallest zero is x = -10 as it is the least value on a number line.