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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 :

Answer:

k = 13 ;

The smallest zero  is x = -10

Step-by-step explanation:

[tex]f(x) = x^2+3x-10[/tex]

Where;

[tex]x = x+5[/tex]

So;

[tex]f(x+5) = (x+5)^2+3(x+5)-10[/tex]

[tex]f(x+5) = x^2+10x+25+3x+15-10[/tex]

[tex]f(x+5) = x^2+13x+30[/tex]

We all know that :   [tex]x^2+kx+30[/tex]

where k is synonymous with 13

[tex]x^2+13x+30 = 0[/tex]

solving this quadratic equation ; we have;

[tex](x+10)(x+3) = 0[/tex]

[tex]x+10 = 0\ \ \ or \ \ \ x+3 = 0[/tex]

[tex]x = -10 \ \ \ or \ \ \ x = -3[/tex]

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

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