Factor by using the rational roots test, and find that -2 is a root.
Replace X with -2 and simplify each term.
Divide the polynomial by (x+2)
The final answer becomes x = -2 and x = -1/2 +/-√3/2i
The first choice is the correct one.
Answer:
The correct option is D.
Step-by-step explanation:
The given equation is

According to the addition property of equality
and
are equivalent equations.
Use addition property of equality, add 3x on both the sides.


Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality
and
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.


Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
Answer:
53.33% probability that one woman and one man will be chosen to be on the committee
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the members are chosen is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

What is the probability that one woman and one man will be chosen to be on the committee?
Desired outcomes:
One woman, from a set of 2, and one man, from a set of 4. So

Total outcomes:
Two members from a set of 2 + 4 = 6. So

Probability:

53.33% probability that one woman and one man will be chosen to be on the committee
Answer:
1/4 Teaspoons: 7
1/3 Cup: 20
Step-by-step explanation:
1/3 Cup:
Butter (2), Sugar (4), Coca (3), Flour(11)
1/4 Teaspoon:
Salt (3), Baking Soda (4)
Answer:
14.4 to nearest tenth.
Step-by-step explanation:
By the Pythagoras theorem:-
Distance = √ [ (y2-y1)^2 + (x2-x1)^2 ] where the 2 points are (x1,y1) and (x2,y2)
= √ [ (16-4)^2 + (9-1)^2]
= √ 208
= 14.4