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:
a = ln 35
Step-by-step explanation:
Given e^a = 35, take the natural log of both sides, obtaining:
ln e^a = ln 35. Recall that ln e^x = x, which means that ln e^a = a.
Then a = ln 35.
Next time, please share the answer choices!
Answer:
1484/25 is 59.36 as a fraction
Answer:
$1.90
Step-by-step explanation:
Represent the numbers of nickels, dimes and quarters by n, d and q.
Then: d + q = 9, or q = 9 - d.
Also, n + d = 10
Lastly, n + d + q = 15.
Let's substitute 9 - d for q in the equation immediately above:
n + d + (9 - d) = 15, or n + 9 = 15. Then n must be 6.
In summary, Jim has 6 nickels, (10 - 6) dimes and (9 - 4) quarters, or:
6 nickels, 4 dimes and 5 quarters
Thus, he has 5($0.05) + 4($0.10) + 5($0.25), or
$0.25 + $0.40 + $1.25, or $1.90
ANSWER
F (2,3)
EXPLANATION
The coordinates are ordered pairs.
So the x-coordinate comes first and the y-coordinate second.
In other words the coordinate on the horizontal axis comes first and that of the vertical axis comes second.
The coordinates of the ranger station are:
(2,3),(2,4),(3,3),(3,4)
The correct choice is F.
