Answer:
4x^2-16x-20
Step-by-step explanation:
(x-5)(x+1)=x^2-5x+x-5=x^2-4x-5
leading coefficient=4
which means that 4(x^2-4x-5)=4x^2-16x-20 is the answer.
Answer:
28, 56
56
Step-by-step explanation:
a
To solve this, we use the combination rule.
nCk = n!/k!(n-k)! where
n is the number of options (8) k is the number of slots (2).
Assuming the order doesn't matter, then
8C2 = 8! / 2!(8-2)!
8C2 = 8! / 2! 6!
8C2 = 40320 / 2 * 720
8C2 = 40320 / 1440
8C2 = 28
If the order does matter, then we use permutation instead.
nPk = n!/(n-k!) where n = 8 and k =2 8P2 = 8! / 6!
8P2 = 40320 / 720
8P2 = 56
b
We are told that there exist 8 ways to choose a president and a vice president. This means that, after choosing a president from 8 people, there remains 7 people to choose his vice from. Thus, the number of ways to choose a president and his vice are 8 * 7 = 56
Hello!
You first make two equations
Let x stand for the price of a burger
Let y stand for the price of fries
3x + 2y = 7.15
4x + 3y = 9.93
multiply the top equation by 3 and the bottom equation by 2
9x + 6y = 21.45
8x + 6y = 19.86
You can subtract the two equations
x = 1.59
Now you can put x into one of the original equations
3(1.59) + 2y = 7.15
Combine like terms
4.77 + 2y = 7.15
Subtract 4.77 from both sides
2y = 2.38
Divide both sides by 2
y = 1.19
The answers are a burger cost $1.59 and Fries cost $1.19
Hope this helps!
yooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooootengooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
