F(x) = 5x + 4
f(-3) = 5(-3) + 4
f(-3) = -15 + 4
f(-3) = -11
g(x) = -3x³ - 2
g(-4) = -3(-4)³ - 2
g(-4) = 192 - 2
g(-4) = 190
Answer:
y=1/3x+10/3
Step-by-step explanation:
y-y1=m(x-x1)
y-5=1/3(x-5)
y=1/3x-5/3+5
y=1/3x-5/3+15/3
y=1/3x+10/3
<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.
If Ivan used all 3/4 pound of hamburger, then each patty would be 1/4 pound.