Answer:
y- intercept = 
Step-by-step explanation:
Given
f(x) =

To find the y- intercept let x = 0 , then
f(0) =
[
= 1 ]
=
× 1 =
← y- intercept
Answer:
3
Step-by-step explanation:
The f^-1 notation indicates you need to find the inverse of the function
y=2x+1
x=2y+1
Exchange the x & y variables. Note this is what accomplishes that reflection across the line y = x
7=2y+1
-2y=1-7
-2y=-6
Divide both side of the equation by -2
negative divide negative is positive so
y=3
We need to determinate who doesn't use anything, so first we must know the real number of who are practising: a person can do more things.
For doing this, is better use a three-circles graphic, but we try to do without it.
So
- 16 pool + gym + track, and this number is sure
- 38 gym + pool, but this number includes the people of 1st point. We must know who do only gym + pool: 38 - 16 = 22
- 31 pool + track, this number also includes people of 1st point, so: only pool + track 31 - 16 = 15
- 33 gym + track, this number also includes people of 1st point, so: only gym + track 33 - 16 = 17
now:
- 67 gym, we must know who use only gym: 67 - 16 (gym + pool + track) - 22 (gym + pool) - 17 (gym + track) = 12
- 62 pool, we must know who use only pool: 62 - 16 (gym + pool + track) - 22 (gym + pool) - 15 (pool + track) = 9
- 56 track, we must know who use only track: 56 - 16 (gym + pool + track) - 15 (pool + track) - 17 (gym + track) = 8
now we must now who do some facility: let's sum all
16 + 22 + 15 + 17 + 12 + 9 + 8 = 99
99/100 practise something
So only 1/100 doesn't use nothing
The probability is 1%
Answer: Van = 198 students
bus = 672 students
Step-by-step explanation:
Let x represent the number of students in the vans and y represent the number of students in the buses, then from the first statement , we have
11x + 4y = 289 ................. equation 1
From the second statement, we also have
7x + 12y = 581 ............... equation 2
Combining the two equations together and solving simultaneously , we have
x = 11 and y = 42
therefore the number of students vans can carry will be'
11x + 7x
= 11(11) + 7 (11)
= 121 + 77
= 198
The number of students buses will carry will be
4y + 12y
= 4(42) + 12(42)
= 168 + 504
= 672
Answer:
x = 30 degrees
Step-by-step explanation:
Okay so we start by noticing that the two pointed out vertices = 180 degrees. So we have the following equation.
(x + 12) + (3x + 48) = 180
If you combine them you get:
4x + 60 = 180
Subtract 60 from both sides..
4x = 120
Divide both sides by 4..
x = 30
And there's your answer!