Two possible equations are:
Answer:
the blank =24x
Step-by-step explanation:
Assuming the expression is x^2 - ________x +144,
you can tell that this is in the form of a^2 +2ab+b^2.
If the "a" is squared, you would get x^2. And if the "b" was squared then you would get b^2.
So as the result, the expression is
(x-12)^2= x^2-24x+144
Answer:
1. x = 4 and y = 1
2. x= 5 and y = 3
Use the examples below to complete 3 and 4.
Step-by-step explanation:
To solve each system of equations, use elimination.
1. Stack the equations and subtract to perform elimination.
2x + 2y = 10
- x + 2y = 6
-------------------------
x = 4
Substitute x = 4 into an equation to solve for y.
2(4) + 2y = 10
8 + 2y = 10
2y = 2
y = 1
2. Stack the equations and subtract to perform elimination.
3x + y = 18
- 2x + y = 13
-------------------------
x = 5
Substitute x = 5 into an equation to solve for y.
3(5) + y = 18
15 + y = 18
y = 3
Continue the same method for numbers 3 and 4.
a.
b.
c. By the law of total probability,
According to the inclusion/exclusion principle,
but by DeMorgan's law,
So
and from there we find
d. The event of having at most two of these defects is complementary to the event that all three defects occur simultaneously:
Answer:
B I believe I'm a little rusty on math
Step-by-step explanation:
