1. Evaluate the expression for x $$ =3, y=4 $$, and $$ z=5 $$. SHOW YOUR WORK. $$ z+x(y+z) $$

Question

UpStudy AI · Accepted Answer

Sure, let's evaluate the expression $$ z + x(y + z) $$ step by step with the given values:
- $$ x = 3 $$
- $$ y = 4 $$
- $$ z = 5 $$

### Step 1: Substitute the Given Values into the Expression
$$
z + x(y + z) = 5 + 3(4 + 5)
$$

### Step 2: Calculate the Value Inside the Parentheses
First, compute $$ y + z $$:
$$
4 + 5 = 9
$$
Now, the expression becomes:
$$
5 + 3 \times 9
$$

### Step 3: Perform the Multiplication
Multiply $$ x $$ by the result from Step 2:
$$
3 \times 9 = 27
$$
So, the expression is now:
$$
5 + 27
$$

### Step 4: Add the Remaining Terms
Finally, add $$ z $$ to the result:
$$
5 + 27 = 32
$$

### Final Answer
$$
z + x(y + z) = 32
$$
$$ z + x(y + z) = 32 $$

1. Evaluate the expression for x \( =3, y=4 \), and \( z=5 \). SHOW YOUR WORK. \( z+x(y+z) \)