Let's match each value to the correct expression step-by-step. The given expressions are:
1. [tex]\( 4 + 8 \left(\frac{1}{4} + 2\right) \)[/tex]
2. [tex]\( 1 + 5 \cdot 2 + (1 + 3)^2 \)[/tex]
3. [tex]\( 0.25 \cdot 4^3 - 1 \)[/tex]
Working through each expression:
1. Expression: [tex]\( 4 + 8 \left(\frac{1}{4} + 2\right) \)[/tex]
This expression resolves to 22.
So, the first match is:
[tex]\( 4 + 8 \left( \frac{1}{4} + 2 \right) = 22 \)[/tex]
2. Expression: [tex]\( 1 + 5 \cdot 2 + (1 + 3)^2 \)[/tex]
This expression resolves to 27.
So, the second match is:
[tex]\( 1 + 5 \cdot 2 + (1 + 3)^2 = 27 \)[/tex]
3. Expression: [tex]\( 0.25 \cdot 4^3 - 1 \)[/tex]
This expression resolves to 15.
So, the third match is:
[tex]\( 0.25 \cdot 4^3 - 1 = 15 \)[/tex]
Putting it all together, we assign the values to the expressions as follows:
[tex]\[
4 + 8 \left(\frac{1}{4} + 2\right) \rightarrow 22
\][/tex]
[tex]\[
1 + 5 \cdot 2 + (1 + 3)^2 \rightarrow 27
\][/tex]
[tex]\[
0.25 \cdot 4^3 - 1 \rightarrow 15
\][/tex]
Thus, the pairs are:
[tex]\[
4 + 8 \left(\frac{1}{4} + 2\right) \quad 22
\][/tex]
[tex]\[
1 + 5 \cdot 2 + (1 + 3)^2 \quad 27
\][/tex]
[tex]\[
0.25 \cdot 4^3 - 1 \quad 15
\][/tex]
