<em>a</em> = 8 - a train arrives at the station once every 8 minutes, so for any given 8 minute interval, a randomly selected train has uniform probability of arriving at the station at some point in this time.
<em>f(x)</em> = 1/8 - the area under the graph of <em>f(x)</em> must be equal to 1. This area corresponds to a rectangle with length <em>a</em> = 8 and height <em>x</em> such that 8<em>x</em> = 1. Solving for <em>x</em> gives 1/8.
<em>P</em> = 5/8 - this is equal to the area under the graph over the interval [0, 5], which is the area of a rectangle with length 5 and height 1/8.
Answer:
−2w−14
You have to collect like terms and simplify
Answer:
Step-by-step explanation:
Relations are only functions if they do not share any x values at all! The 2 graphs there that do not have any of the same x values are graphs A and D. Notice that on graph B, there are several y values that share the x value of 2; on graph C, there are several y values that share the x value of 2.
To write
1
3
1
3
as a fraction with a common denominator, multiply by
3
3
3
3
.
−
2
9
−
1
3
⋅
3
3
-
2
9
-
1
3
⋅
3
3
Write each expression with a common denominator of
9
9
, by multiplying each by an appropriate factor of
1
1
.
Tap for more steps...
−
2
9
−
1
⋅
3
9
-
2
9
-
1
⋅
3
9
Combine the numerators over the common denominator.
−
2
−
1
⋅
3
9
-
2
-
1
⋅
3
9
Simplify the numerator.
−
5
9
-
5
9
Move the negative in front of the fraction.
-5/9 is the answer