Someone plz asap

which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x + 6)?

the graph of y = f(x) will shift up 6 units.
the graph of y = f(x) will shift down 6 units.
the graph of y = f(x) will shift left 6 units.
the graph of y = f(x) will shift right 6 units.

answer:

the graph of y = f(x) will shift left 6 units.

step-by-step explanation:

y = f(x) will be at the origin of (0,0). y = f(x + 6) will shift it left because of the plus/addition sign. if it's plus a number, you go that many times to the left. if it's subtracting a number, it goes that many times to the right.

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

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