Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = 
= 
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = 
x - 2 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
= , so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
Step-by-step explanation:
Starting with f(x)
f(x)
f(-x) ...... reflection in the y - axis
f(-x+2) ..... horizontal translation by 2 units in the negative x-direction
f(-x+2) + 6 ...... vertical translation by 6 units in the positive y-direction
4f(-x+2) + 6 ..... scaling (or dilation) by a factor of 4
-4f(-x+2) + 6 ..... reflection in the x-axis
Answer:
x = 3
Step-by-step explanation:
8.4 ÷ 6 = 1.4
4.2 ÷ 1.4 = 3
Price of DVD player ≥ $150
Saved = $80
Amount needed = $150 - $80 = $70
Saving per week = $10
Let x be the number of weeks needed:
80 + 10x ≥ 150
10x ≥ 150 - 80
10x ≥ 70
x ≥ 70 ÷ 10
x ≥ 7
Answer: She needs to save for for at least 7 weeks.
