Evaluate a over z + bw2 for a = 21, b = 3, w = 6, and z = 7.
To evaluate the expression a over z + bw^2, substitute the given values of a, b, w, and z into the expression:
(21 / 7) + (3 * 6^2)
Now simplify the expressions within parentheses first:
3 * 6^2 = 3 * 36 = 108
Now evaluate the division:
21 / 7 = 3
Finally, substitute the values into the expression:
3 + 108 = 111
Therefore, the value of the expression a over z + bw^2 is 111.
To evaluate the expression a over z + bw^2 for a = 21, b = 3, w = 6, and z = 7, follow these steps:
Step 1: Substitute the given values into the expression.
a over z + bw^2 = 21 / 7 + 3 * 6^2
Step 2: Simplify any exponentiation.
a over z + bw^2 = 21 / 7 + 3 * 36
Step 3: Perform multiplication.
a over z + bw^2 = 21 / 7 + 108
Step 4: Simplify division.
a over z + bw^2 = 3 + 108
Step 5: Perform addition.
a over z + bw^2 = 111
Therefore, the value of a over z + bw^2 for a = 21, b = 3, w = 6, and z = 7 is 111.
To evaluate the expression a over z + bw^2 for the given values of a, b, w, and z, follow these steps:
1. Substitute the values of a, b, w, and z into the expression:
a over z + bw^2
= 21 over 7 + 3(6^2)
2. Simplify the expression inside the parentheses:
= 21 over 7 + 3(36)
3. Perform the exponentiation:
= 21 over 7 + 3(36)
= 21 over 7 + 3(1296)
4. Multiply the value of w^2:
= 21 over 7 + (3 * 1296)
5. Perform the multiplication:
= 21 over 7 + 3888
6. Find a common denominator:
The common denominator for 7 and 1 is 7.
7. Convert 21 over 7 to have the common denominator:
= (21 * 1) over 7 + 3888
= 21 over 7 + 3888
8. Add the fractions:
= 21 + 3888 over 7
= 3909 over 7
Therefore, the value of a over z + bw^2 for a = 21, b = 3, w = 6, and z = 7 is 3909/7.