Answer: The probability of choosing a green marble is
.
Step-by-step explanation:
- 4 + 5 + 3 = 12 marbles <em>total.</em>
- Since there are 4 green marbles, the probability of choosing one is
.
simplified is
.
Answer:
is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Step-by-step explanation:
Given the function

As the highest power of the x-variable is 3 with the leading coefficients of 1.
- So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.
solving to get the zeros

∵ 
as

so
Using the zero factor principle
if 


Therefore, the zeros of the function are:

is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Therefore, the last option is true.
Answer:
12. 11/18-1/6=4/9
13. 2/7+2/5=24/35
14. 3/4-3/10=9/20
Step-by-step explanation:
12. 11/18-1/6
11/18-1/6=11/18-(1/6)*(3/3)
11/18-1/6=11/18-(1*3)/(6*3)
11/18-1/6=11/18-3/18
11/18-1/6=(11-3)/18
11/18-1/6=8/18
Dividing the numerator and denominator of the fraction on the right side of the equation by 2:
11/18-1/6=(8/2)/(18/2)
11/18-1/6=4/9
13. 2/7+2/5
2/7+2/5=(2/7)*(5/5)+(2/5)*(7/7)
2/7+2/5=(2*5)/(7*5)+(2*7)/(5*7)
2/7+2/5=10/35+14/35
2/7+2/5=(10+14)/35
2/7+2/5=24/35
14. 3/4-3/10
3/4-3/10=(3/4)*(5/5)-(3/10)*(2/2)
3/4-3/10=(3*5)/(4*5)-(3*2)/(10*2)
3/4-3/10=15/20-6/20
3/4-3/10=(15-6)/20
3/4-3/10=9/20
The answer to the questions