9514 1404 393
Answer:
y = 6^x -3
Step-by-step explanation:
The graph is that of an exponential function that has been translated downward. We notice the horizontal asymptote is -3, and a couple of points on the graph are (0, -2) and (1, 3).
The shifted parent function will look like ...
y = a·b^x +c
where c is the horizontal asymptote. Using the two points we found, we have ...
-2 = a·b^0 -3 . . . . . using (x, y) = (0, -2)
1 = a . . . . . . . . . . add 3 and simplify
Then using (x, y) = (1, 3), we have ...
3 = b^1 -3
6 = b . . . . . . . . . add 3 and simplify
So, the equation is ...
y = 6^x -3
It’s X=-0.5 because it’s on the x axis
Answer:869.25
Step-by-step explanation:
960×.20=192-960=828$
828×.05=41.25+828=869.25
Answer:
The area under the curve y = tsin(t-1), x = ㏑(t) from x = 0 to x = ㏑(
+ 1) is 2 square units
Step-by-step explanation:
y = tsin(t-1)
x = ㏑(t)
⇒dx =
dt
x = 0 ⇒ t = 1 and x = ㏑(
+1) ⇒ t =
+1
Area under the curve from x = 0 to x = ㏑(
+1) or from t = 1 to t =
+1 is
with limits : t from 1 to
+1
= 
= 
Using the substitution t = k + 1 :
dt = dk
when t = 1, k = 0 and when t =
+1, k = 
The integral is now modified as :

= -(cos(
)-cos(0))
= -(-1-1)
= -(-2)
= <u>2 square units.</u>
Circumfrance 37.68
Diameter of 16 meters
Radius of 7 meters
Diameter of 8 meters. That is ur order