Answer:
Both functions are increasing on all intervals of x: True
Both functions have the same y intercept: True
Both functions approach the same value as x approaches infinity: True
Both functions approach negative infinity as x approaches negative infinity: True.
The functions have the same x intercept: False, they have no x intercept.
Step-by-step explanation:
f(x) is stated to be an exponetial function, hence
f(0) is given as -12, so
-12=a
f(1) is given as -4, so
-4=-12b
b=1/3
This implies that
g(x) is stated to be
Conclusion: the functions are identical.
Answer:
a) s1 is 4 km/h because it is given. t1 is 30 min. s2 is 8 km/h. d is 4 km because given
b) d2 is 2 km because he travels 30 min at 4 km/h which is 2 km
c) d2 is 2 km because he travels 30 min at 4 km/h which is 2 km and 4 km-2 km is 2 km
d) 2 km at 8 km/hour is 1/4 hour which is 15 minutes so t2 is 15 min.
e) 3:45+15 min is 4:00
Answer:
Step-by-step explanation:
Lets remember the following expression:
cos(x-a)= cos(x)*cos(a)+sin(x)*sin(a)
if a= -3 pi /2 then:
cos(x-3 pi/2)= cos(x)*cos(3pi/2) + sin(x)*sin(3pi/2)
Since cos (3pi/2) is located exactly at 'y' axis, its value=0
Moreover sin(3pi/2)= -1 because, that angle is located at 'y' axis, negative side
cos(x-3pi/2)= -sin(x)
But, we can simplify a little more since we now that tan(x)=3/4
That means that sin(x)/cos(x)= 3/4, from that expression we isolate sin(x) and we obtain that sin(x)=cos(x) * 3/4
Using the above conclusion we have that
cos(x-3pi/2)= -cos(x)*3/4
Answer:
Then the two numbers are -11 and -6.
Answer:
x = -7
Step-by-step explanation: