Which expressions are equivalent to the one below? check all that apply ln(e^3) a. 1 b. 3 c. 3*ln e d. 3e

Option B and C.

Step-by-step explanation:

The given expression is

Using the power property of exponents we get

We know that ln is the natural log, it ln means log with base e. So ln(e)=1.

Substitute ln(e)=1 in the above equation.

The expressions 3ln(e) and 3 are equivalent to the given expression.

Therefore, the correct options are B and C.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

sorry i just need to anwers this to get points

step-by-step explanation: