Condense:

Ln 40 + 2 ln 1/2 + ln x

ln(40) + 2ln(1/2) + ln(x)

First, you should take the 2 and put it back in the argument. Since it's a coefficient, when you put it back it in would be a power. That changes 2ln(1/2) to ln(1/2 ^ 2), which is ln(1/4).

ln(40) + ln(1/4) + ln(x)

Then, to add these, we just multiply the arguments, meaning we just have:

ln(40 * 1/4 * x)

Multiply and then we're done.

ln(10x)

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function