Answer:
(13 x + 6) (x - 2)
Step-by-step explanation:
Factor the following:
13 x^2 - 20 x - 12
Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):
x (13 x + 6) - 2 (13 x + 6)
Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):
Answer: (13 x + 6) (x - 2)
1 and 1/8 miles
2 3/4 - 1 5/8
2 6/8 - 1 5/8= 1 1/8
Answer:
x = 3
Step-by-step explanation:
These angles are vertical angles. Vertical angles equals to on another but on the opposite side. Since they equal to another you do:
(10x + 1) = (12x - 5)
Add 5 on both sides:
10x + 6 = 12x
Subtract 10x on both sides:
6 = 2x
Divide 2 on both sides:
3 = x
Answer:
a.) 13 students
b.) 53 members
Step-by-step explanation:
a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.
b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.
Answer:
4, 11, 4/11
Step-by-step explanation:
there are 5 white marbles, 4 yellow marbles, and 2 green marbles.
there are 11 marbles in total, and 4 yellow marbles
the probability of her selecting a yellow marble is 4/11
