Answer:
x = -2
Step-by-step explanation:
6 - 2(x + 6) = 3x +4
6 -2x - 12 = 3x + 4
6 - 12 - 2x = 3x + 4
-6 -2x = 3x +4
-6 - 4 - 2x = 3x + 4 - 4
-10 -2x = 3x
-10 -2x + 2x = 3x + 2x
-10 = 5x
-10 / 5 = 5x/5
x = -2
I hope this helps!!
Answer:
Option D.
Step-by-step explanation:
The vertex form of an absolute function is
where, a is a constant, (h,k) is vertex.
It is given that, vertex of an absolute function is (2,3). So, h=2 and k=3.
...(1)
It crosses the x-axis at (5,0). So put x=5 and y=0 to find the value of a.
Put a=-1 in (1).
Now, put y=0, to find the equation for this absolute value function when y=0.
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
To find the y- intercept, let x = 0 in the equation
Given
f(x) = -
- 1, then
f(0) = -
- 1 = -
- 1 ← y- intercept,
(0, -
- 1 ) ← coordinates of y- intercept
Answer: 11113200
Step-by-step explanation:
We know that , the number of combination of choosing r things from n things is given by :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-
Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-


∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200
Answer:
216 min
3 hours and 36 min or 3.6 hours
Step-by-step explanation:
1/9+1/6
6+9/54
15/54
5/18
18/5
60*18/5
1080/5
/= fraction sign
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = 1/9
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = 1/6
They can do a part of work together in 1 hour = 1/9+1/6
= 5/18
Now they can do 5/18} part of work in hour = 1
So, they can do whole work in hours = 1/5/18
= 3.6
Hence it will take 3.6 hours to paint the room if they work together.