Answer:
a
b
c
Step-by-step explanation:
Generally the size of the sample sample space is mathematically represented as
Where N is the total number of objects available and r is the number of objects to be selected
So for a, where N = 19 and r = 8
For b Where N = 25 and r = 3
For c Where N = 23 and r = 2
No it cant because a mixed number is over one unless that mixed number is negative
Answer:
Step-by-step explanation:
First we multiply x through (y+1). This equals xy +x.
Second we take 3 through (y+1). This equals 3y+3.
Next we take xy + x through (x+2). This equals 2x squared, y + 2x squared.
Fourth we take 3y+3 through (x+2). This equals 6xy + 6x.
Answer:
x>-8
Step-by-step explanation:
7x+11>5x-5
2x+11>-5
2x>-16
x>-8
the > sign acts like an equal sign :)
X + y = 5
xy = 12
x + y = 5
y = -x + 5
xy = 12
x(-x + 5) = 12
x(-x) + x(5) = 12
-x² + 5x = 12
- 12 - 12
-x² + 5x - 12 = 0
x² - 5x + 12 = 0
x = 5 ± √25 - 48
2
x = -5 ± √-23
2
x = -5 ± 4.79i
2
x = -5 + 4.79i or x = -5 - 4.79i
2 2
x = -2.5 + 2.395i or x = -2.5 - 2.395i
y = -2.5 - 2.395i or y = -2.5 + 2.395i
The two numbers that add up to 5 and multiply to 12 is -2.5 ± 2.395i, which is -2.5 + 2.395i and -2.5 - 2.395i.
