Evaluate
a/z+ bw squared for a = 21, b = 3, w = 6, and z = 7.
To evaluate the expression, we substitute the values of a, b, w, and z into the expression:
a/z + bw²
= 21/7 + 3(6²)
= 3 + 3(36)
= 3 + 108
= 111
To evaluate the expression a/z + bw^2 for the given values a = 21, b = 3, w = 6, and z = 7, we substitute the values into the expression:
a/z + bw^2 = 21/7 + 3(6^2)
First, we simplify the exponent:
w^2 = 6^2 = 6 × 6 = 36
Next, we substitute the values:
21/7 + 3(36)
Now, we perform the multiplication:
21/7 + 108
To add the fractions, we need a common denominator:
21/7 + 108/1
Since 7 is the common denominator, we convert 21/7 to have a denominator of 7:
3 + 108/1
Now, we have like terms and can add the fractions:
3 + 108 = 111
Therefore, a/z + bw^2 = 111.
To evaluate the expression a/z + bw^2 for a = 21, b = 3, w = 6, and z = 7, we can substitute the given values into the expression and simplify the result.
Let's start by substituting the values:
a/z + bw^2 = 21/7 + 3(6)^2
Next, simplify the expression inside the parentheses:
a/z + bw^2 = 21/7 + 3(36)
Now, perform the multiplication:
a/z + bw^2 = 21/7 + 108
To add fractions, we need a common denominator. In this case, the denominator is already 7, so we don't need to make any adjustments.
a/z + bw^2 = 21/7 + 108/1
Now, we can add the fractions:
21/7 + 108/1 = (21 + 108) / 7
Perform the addition:
(21 + 108) / 7 = 129 / 7
The simplified expression is 129/7.