The slope formula:
m - a slopeb - y-intercept
We have:
and point
Substitute:
Answer: A.
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:
We know the are of the square is 7x as that squared would =49x^2 making the perimeter 28x so the last side of the triangle has to be 21x-4
Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:
Then subtract 3 from both sides of the equation.
The divide both sides by 2.
Another solution is possible because of the absolute value.
If 
Then 
<em>Thus we can solve the second solution:</em>
Isolate P again by subtracting both sides by 3
Then divide both sides by 2:
