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
Answer:
B = 22
C = 122
D = 36
Step-by-step explanation:
The angles of a triangle add to 180. Take the measure of each angle add them together. Set them equal to 180.
2x + x + 4 + 7x - 4 = 180
10x = 180
x = 18
To find each angle, substitute x = 18.
Angle B is 18 + 4 = 22
Angle C is 7(18) - 4 = 122
Angle D is 2(18) = 36
Answer:
x is at least -2
Step-by-step explanation:
Answer:
144 sq in
Step-by-step explanation:
Face height=9, bases=6 in
#Assume the pyramid has a square base.
First we need to calculate the perpendicular height of the pyramid:
Now to find the surface area of each pyramid:
Hence amount of construction paper needed to make each pyramid is 144 sq in
Answer:
It is a solution.
Step-by-step explanation:
Plug in (-1,2) to both equations:
Plug in -1 to see if 2 comes out:
f(x)=x^2+3x+4
y=(-1)^2+3(-1)+4
y=1-3+4
y=-2+4
y=2
(yes it works)
g(x)=2x+4
y=2(-1)+4
y=-2+4
y=2
(yes it works)