Given:
The graph of f(x).
To find:
The interval where f(x)>0.
Solution:
From the given graph it is clear that the graph of f(x) lies above the axis for the intervals (-4,-1) and (1,∞), so f(x)>0 for and .
The graph of f(x) lies below the axis for the intervals (-∞,-4) and (-1,1), so f(x)<0 for and .
Form the given options, interval is the only interval for which the function lies above the x-axis.
Therefore, the correct option is A.
Answer:
X= A (Where A is a constant)
Step-by-step explanation:
Equation of y axis is X=0
Here it means that each point on y axis will have the same abcissa which is 0.
Now if you move parallel to the y axis the line will have an equation
X= A ; here A is an constant ( Can be both negative and positive depending on where the line is respect to the y axis)
here it means that each point on that line will have the same abcissa which is equal to a constant.
= 5x + 35 = -3
- 35 = -35
5x = -38
/ 5 = / 5
x = -7.6
Answer:
The perimeter of the rectangle is 27n + 1 feet
Step-by-step explanation:
The formula of the perimeter of the rectangle is P = 2(L + W), where
- L is the length of the rectangle
- W is the width of the rectangle
∵ The width of a rectangle is 7n - 6.5 feet
∴ W = 7n - 6.5 feet
∵ The length of the rectangle is 6.5n + 7 feet
∴ L = 6.5n + 7 feet
→ Substitute W and L in the formula of the perimeter above
∵ P = 2[6.5n + 7 + 7n - 6.5]
→ Add the like terms
∴ P = 2[(6.5n + 7n) + (7 - 6.5)]
∴ P = 2[13.5n + 0.5]
→ Multiply the terms in the bracket by 2
∴ P = 27n + 1
∴ The perimeter of the rectangle is (27n + 1) feet