Ok so the answer is D because first I solved the equation because you can’t find which answer choice it is equivalent to if you didn’t solve it ... so I solved the equation and got x=-3/2 how I solved this is
3^-x = 3^3x+6 ... since the bases are the same, set the exponents equal
-x=3x+6..... move the variable to the left-hand side and change its side
-x-3x=6 ... collect like terms
-4x = 6..... divide both sides of the equation by -4 and I got x=-3/2
I don’t want this text to be that long so they both seem calculated the same way that’s why i got -3/2 hope that helps;-;
Answer:
132 square millimeters
Step-by-step explanation:
THe <u>lateral area</u> of a rectangular prism is the side areas. That is
all 4 sides of the rectangular prism (that are rectangles each).
So, we find each side area and add them up.
The area of a rectangle is:
Area = length * width
The left side (in gray) is 9 mm x 3mm, so area:
area = 9 * 3 = 27
The right side rectangle is same, so that would have an area of:
area = 9 * 3 = 27
Now, the front side's measurement is 3 x 13, so the area is:
Area = 3 * 13 = 39
THe back is same, so the area would be:
Area = 3 * 13 = 39
<u>Total Surface Area = 27 + 27 + 39 + 39 = 132 square millimeters</u>
Answer:
23% decrease
Step-by-step explanation:
:)
Answer:
(
h
∘
f
∘
g
)
(
x
)
is known as a composite function. Here's how composite functions work:
let's say that
x
=
1
. Your function
g
(
x
)
=
1
3
(
x
)
now produces a
y
output of
1
3
, since
g
(
1
)
=
1
3
(
1
)
. Within a composite function, the y-value of one function becomes the x-value of the next, like so:
g
(
1
)
=
1
3
⇒
f
(
1
3
)
=
17
3
⇒
h
(
17
3
)
=
17
Therefore,
(
h
∘
f
∘
g
)
(
1
)
=
17
Based on this, to find the function for
(
h
∘
f
∘
g
)
(
x
)
(combined from right to left, by the way), simply replace
x
in
f
(
x
)
with the function
g
(
x
)
, and replace
x
in
h
(
x
)
with the function of
(
f
∘
g
)
(
x
)
, to get
(
h
∘
f
∘
g
)
(
x
)
.
This, simplified, is equal to
2
x
+
15
, and therefore
(
h
∘
f
∘
g
)
(
1
)
=
2
(
1
)
+
15
=
17
Hope that helps!
Answer:
T>28
Step-by-step explanation:
Multiply 4 to both sides to get your variable alone.
