Three classmates are working with three different expressionsEach classmate substitutes in the value x = 4 into their expression . Eleanor Parker Nellie 5x - 105x ^ 2 + 35 ^ x - 40 When substituting in the value x = 4 Eleanor would get a result of Parker would get a result of and Nellie would get a result of

1 answer

Let's calculate the results for each classmate's expression by substituting \( x = 4 \).

  1. Eleanor's expression: \[ 5x \] Substituting \( x = 4 \): \[ 5(4) = 20 \]

  2. Parker's expression: \[ 105x^2 \] Substituting \( x = 4 \): \[ 105(4^2) = 105(16) = 1680 \]

  3. Nellie's expression: \[ 35^x - 40 \] Substituting \( x = 4 \): \[ 35^4 - 40 \] First, we calculate \( 35^4 \): \[ 35^4 = 35 \times 35 \times 35 \times 35 \] Calculate \( 35^2 \): \[ 35^2 = 1225 \] Now, \[ 35^4 = 1225 \times 1225 = 1500625 \] Now subtract 40: \[ 1500625 - 40 = 1500585 \]

Now, let's summarize the results for each classmate:

  • Eleanor: 20
  • Parker: 1680
  • Nellie: 1500585

Thus, substituting in \( x = 4 \):

  • Eleanor would get a result of 20.
  • Parker would get a result of 1680.
  • Nellie would get a result of 1500585.