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Let’s check out your problem:
g
(
r
)
=
−
5
r
+
13
g
(
3
)
=
□
\begin{array}{l}g(r)=-5 r+13 \\ g(3)=\square\end{array}
g
(
r
)
=
−
5
r
+
13
g
(
3
)
=
□
View step-by-step help
Home
Math Problems
Grade 6
Multiply using the distributive property
Full solution
Q.
g
(
r
)
=
−
5
r
+
13
g
(
3
)
=
□
\begin{array}{l}g(r)=-5 r+13 \\ g(3)=\square\end{array}
g
(
r
)
=
−
5
r
+
13
g
(
3
)
=
□
Identify Function and Input:
Identify the function and the input value.
\newline
We are given the function
g
(
r
)
=
−
5
r
+
13
g(r) = -5r + 13
g
(
r
)
=
−
5
r
+
13
and we need to find the value of
g
(
3
)
g(3)
g
(
3
)
.
Substitute Input into Function:
Substitute the input value into the function.
\newline
Replace
r
r
r
with
3
3
3
in the function
g
(
r
)
g(r)
g
(
r
)
.
\newline
g
(
3
)
=
−
5
(
3
)
+
13
g(3) = -5(3) + 13
g
(
3
)
=
−
5
(
3
)
+
13
Perform Multiplication:
Perform the multiplication.
\newline
Multiply
−
5
-5
−
5
by
3
3
3
.
\newline
−
5
×
3
=
−
15
-5 \times 3 = -15
−
5
×
3
=
−
15
Add to Constant Term:
Add the result to the constant term in the function.
\newline
Add
−
15
-15
−
15
to
13
13
13
.
\newline
−
15
+
13
=
−
2
-15 + 13 = -2
−
15
+
13
=
−
2
Write Final Answer:
Write the final answer.
\newline
The value of
g
(
3
)
g(3)
g
(
3
)
is
−
2
-2
−
2
.
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