Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
- If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
- If the sign of inequality is > or <, then it represents graphically by a dashed line
- If the sign of inequality is > or ≥, then the area of the solutions should be over the line
- If the sign of inequality is < or ≤, then the area of the solutions should be below the line
Let us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
Factor out -4
-4(x^3+3x^2-2x-6
Factor out x^2
-4(x^2(x+3)-2x-6)
Factor out -2
-4(x^2(x+3)-2(x+3))
Factor out x+3
-4(x+3)(x^2-2)
Answer:
4x -12
Step-by-step explanation:
Your question answers itself: you use the distributive property to remove the parentheses.
4(x -3) = 4(x) +4(-3) = 4x -12
Answer:
the first option
Step-by-step explanation:
solution:
distance: d=1/4 lc (because is a quarter of a circle)
length of the circumference: lc=2 pi r
pi: constant=3.14
radius of the circle: r=80 feet
replacing pi and r in the formula of lc:
lc=2 pi r
lc=2 (3.14) (80 feet)
lc=502.4 feet
replacing lc in the formula of d:
d=1/4 lc
d=1/4 (502.4 feet)
d=502.4/4 feet
d=125.6 feet
Answer:
Slope of the perpendicular line: 2/3
Step-by-step explanation:
-2y = 3x - 6
y = - 3/2x - - 6/2
y = -3/2 + 3
