Answer:
Option D
Step-by-step explanation:
<h2>Distance between two points</h2>
The y-value of the two points is unchanged. So, the line is parralel to x-axis.
The distance will be the diffrence between the x-co ordinates.
Complete question is;
Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a "lucky" number to play, but maybe some numbers are luckier than others. Let's use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be picked, but for this exercise, pick 1 as the lucky number. What proportion of the time do you win?
Answer:
10%
Step-by-step explanation:
We are told that To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number.
This means the total number of single digits that could possibly be a winning one is 10.
Since we are told that only 1 can be picked, thus;
Probability of winning is; 1/10 = 0.1 or 10%
Rewrite 15 1/4% as 15.25%. To obtain the desired fraction, divide this 15.25% by 100%:
0.1525
This could be reduced to 61/400, which was obtained by first writing 0.1525 as 1525/10000.
Answer:
option 4
Step-by-step explanation:
(f*g)(x) =(x² + x+ 1)*(x² - x -1)
= x²*(x² - x -1) + x(x² - x -1) + 1*( x² - x -1)
= x²*x² - x²*x -x²*1 + x*x² - x*x -x*1 + x² - x -1
= x⁴ - x³ - x² +x³ - x² - x + x² - x -1
= x⁴ - x³ + x³ - x² - x² + x² - x - x - 1
= x⁴ - x² - 2x - 1
Answer:
2x^2+4x-16
Step-by-step explanation:
The quadratic can be written as
f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots
f(x) = a (x-2)(x- -4)
a is the leading coefficient
f(x) = 2(x-2)(x+4)
= 2(x^2 -2x+4x-8)
= 2(x^2 +2x-8)
= 2x^2 +4x-16
