Question

How do the expressions 5f²−2e and 6(e+f)/f compare when e=7 and f=2? Drag a symbol into the box to correctly complete the statement.

Answer 1

After substituting e=7 and f=2 into the expressions 5f²-2e and 6(e+f)/f, we evaluate these to find that 5(2)² - 2(7) equals 6 and 6(7+2)/2 equals 27. Therefore, when e=7 and f=2, the expression 5f²-2e is less than 6(e+f)/f.

Step-by-step explanation:

To compare the expressions 5f²-2e and 6(e+f)/f when e=7 and f=2, we first substitute the given values into each expression.

For the first expression, 5f²-2e:

• 5(2)² - 2(7) = 5(4) - 14 = 20 - 14 = 6.

For the second expression, 6(e+f)/f:

• 6(7+2)/2 = 6(9)/2 = 54/2 = 27.

After evaluating both expressions, we compare the results and find:

5f² - 2e < 6(e+f)/f

Therefore, 6 is less than 27.