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Let’s check out your problem:
f
(
t
)
=
−
3
t
+
4
f
(
□
)
=
19
\begin{array}{l}f(t)=-3 t+4 \\ f(\square)=19\end{array}
f
(
t
)
=
−
3
t
+
4
f
(
□
)
=
19
View step-by-step help
Home
Math Problems
Grade 6
Multiply two decimals: where does the decimal point go?
Full solution
Q.
f
(
t
)
=
−
3
t
+
4
f
(
□
)
=
19
\begin{array}{l}f(t)=-3 t+4 \\ f(\square)=19\end{array}
f
(
t
)
=
−
3
t
+
4
f
(
□
)
=
19
Given equation:
Write down the equation given by the function for
f
(
t
)
=
19
f(t) = 19
f
(
t
)
=
19
.
f
(
t
)
=
−
3
t
+
4
f(t) = -3t + 4
f
(
t
)
=
−
3
t
+
4
f
(
t
)
=
19
f(t) = 19
f
(
t
)
=
19
So, we have
−
3
t
+
4
=
19
-3t + 4 = 19
−
3
t
+
4
=
19
Isolating terms with 't':
Subtract
4
4
4
from both sides of the equation to isolate terms with 't'.
\newline
−
3
t
+
4
−
4
=
19
−
4
-3t + 4 - 4 = 19 - 4
−
3
t
+
4
−
4
=
19
−
4
\newline
−
3
t
=
15
-3t = 15
−
3
t
=
15
Solving for 't':
Divide both sides of the equation by
−
3
-3
−
3
to solve for 't'.
\newline
−
3
t
−
3
=
15
−
3
\frac{-3t}{-3} = \frac{15}{-3}
−
3
−
3
t
=
−
3
15
\newline
t
=
−
5
t = -5
t
=
−
5
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\newline
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