Answer:
d.
Step-by-step explanation:
The given functions are
and
We want to find the composition of the f and g.
We substitute into to obtain;
This simplifies to;
Hence the correct choice is d.
Answer: 1430
Step-by-step explanation: x + y + z = 2680
x = 2z - 100
y = 3z + 80
x + y = 5z - 20
6z - 20 = 2680
z = 450
y = 1430
Solution:
x = 800, y = 1430, z = 450
Given
d(t)=-16t^2-4t+382
1. times at which rock is 310 from ground
solve d(t)=310=-16t^2-4t+382
=>
16t^2+4t-72=0
t=(-4+/-sqrt(4^2+4*16*72)/(2*16)
=> t=-9/4 or t=2
Reject negative root from context, so
time=2 seconds.
2.
maximum is when d'(t)=0, or
-32t-4=0 => t=-1/8
Therefore rock was descending since t=0 (can also see from -4t, i.e. initial velocity is -4 ft/s)
Rock reaches ground when d(t)=0, i.e.
-16t^2-4t+382=0
t=-5.01 or t=4.763 seconds. reject negative root.
Therefore, domain, t=0 to 4.763 seconds
range = 0 to 382 ft
Answer:
(1/3)/(1/3)=3/3=1
(1/3)/(1/3)=3/3=1ms-1
u get the speed or velocity by dividing the y axis(metres) over x axis(seconds)
which is metres (m)/seconds (s)= ms-1
so
take from the graph the differences of y axis divided by that of the x axis
1/1=1ms-1
Remove parentheses
-2x + 12 - 9 = 2 + 9 + 2x
Simplify -2x + 12 -9 to -2x + 3
-2x + 3 = 2 + 9 + 2x
Simplify 2 + 9 + 2x to 2x + 11
-2x + 3 = 2x + 11
Add 2x to both sides
3 = 2x + 11 + 2x
Simplify 2x + 11 +2x to 4x + 11
3 = 4x + 11
Subtract 11 from both sides
3 - 11 = 4x
Simplify 3 - 11 to - 8
-8 = 4x
Divide both sides by 4
-8/4 = x
Simplify 8/4 to 2
-2 = x
Switch sides
x = -2