[ Answer ]
[ Explanation ]
4(y + 6) - 2(y - 2)
[Expand] 4(y + 6): 4y + 24
4y + 24 - 2(y - 2)
[Expand] -2(y - 2): -2y + 4
4y + 24 - 2y + 4
[Simplify] 4y + 24 - 2y + 4: 2y + 28
= 2y + 28
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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
Answer:
C
Step-by-step explanation:
If the parent function is function 
and 
then
- the graph of the function
is translated a units to the right graph of the parent function; - the graph of the function
is translated a units to the left graph of the parent function; - the graph of the function
is translated a units up graph of the parent function; - the graph of the function
is translated a units down graph of the parent function.
In your case, the grapgh of the function 
is translated 2 units up the graph of the function 
Answer: Width of canvas = 9 inches
Area left for painting after painting the border = 70 square inches.
Explanation :
Since we have given that
Area of painting = 108 square inches
Length of canvas = 12 inches
As we know that
So, breadth of canvas = 9 inches .
Now, Chloe paints a 1 inch wide blue border on the canvas.
Hence, remaining area = 70 square inches .
15% of 12 is 1.8
Hope I could help!
