65/13=5
6x5=30, so she has enough to build 6 more shelves with 2 left over
Based on the picture, we know that ED is equal to DB. Therefore:
2 times ED=EB
2(10)=20
EB is 20
Answer: choice C) x-y <= 2
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Explanation:
The two points (0,-2) and (2,0) are on the boundary line. The boundary line equation is y = x-2. We find this equation through the use of the slope formula to find that m = 1. The y intercept is -2 so b = -2. Therefore, y = mx+b turns into y = 1x+(-2) which simplifies to y = x-2
The equation y = x-2 can be arranged to get x-y = 2 (subtract y from both sides; add 2 to both sides)
So the answer is either x-y <= 2 OR it is x-y >= 2
The question is: which inequality has the test point (0,0) in it? We pick on the origin since 0 is the easiest number to work with.
Plug (x,y) = (0,0) into the equation for choice C
x-y <= 2
0-0 <= 2
0 <= 2
which is true. So choice C is the answer.
Choice D can be ruled out since...
x-y >= 2
0-0 >= 2
0 >= 2
which is false: 0 is not larger or equal to 2
1) From building 1 to 2: 5 - (-3) = 8
2) From 2 to 3: 4 - (-5) = 9
3) From 3 to 4: 5 - (-3) = 8
4) From 4 to 1: 4 - (-5) = 9
Total: 8 + 9 + 8 + 9 = 34 units = 34*100 feet = 3400 feet.
Answer: 3400 feet
To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20
It has to be equated to zero and the values of x are the x-intercepts. So,
4x2 – 24x + 20 = 0
The resulting equation is a quadratic equation which can be solved by different methods. The solution is
x = 5, 1
The average therefore is:
(1+5/)2 = 3
