Answer:
see attached
Step-by-step explanation:
In the attached, the feasible region is white, and all excluded regions are shaded. When there are so many inequalities, it is easier to see the solution (feasible region) this way. The boundary lines are dashed because they are not excluded. That is, each boundary line is part of the feasible region.
The vertices of the feasible region are shown to aid in any optimization you might want to do. We have shown the values that would apply if there were a constraint y ≥ 0, which is not on your list. (We assume pounds of Brussels sprouts will not be negative.)
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If you actually do the shading required by the problem statement, you will be shading on the opposite side of each of the lines shown, and you would draw the lines as solid.
<span>The proper sequence John would use to find the measure he wants.is given as follows:
Step 1: </span><span>John drives a stake opposite the tree to establish a line between two points.
Step 2: </span><span>John uses a compass to walk away from the stake at a right angle.
Step 3: </span><span>On the path John walks until he finds a line of sight to the tree that equals 60 degrees.
Step 4: </span><span>John drives a second stake in the ground.
Step 5: </span><span>John measures the distance between the two stakes.
Step 6: </span><span>John multiplies the distance between the two stakes by 1.7 to find the distance.</span>
Answer: d
The two smallest sides have to add up to the largest one
Question not well presented
Point S is on line segment RT . Given RS = 4x − 10, ST=2x−10, and RT=4x−4, determine the numerical length of RS
Answer:
The numerical length of RS is 22
Step-by-step explanation:
Given that
RS = 4x − 10
ST=2x−10
RT=4x−4
From the question above:
Point S lies on |RT|
So, RT = RS + ST
Substitute values for each in the above equation to solve for x
4x - 4 = 4x - 10 + 2x - 10 --- collect like terms
4x - 4 = 4x + 2x - 10 - 10
4x - 4 = 6x - 20--- collect like terms
6x - 4x = 20 - 4
2x = 16 --- divide through by 2
2x/2 = 16/2
x = 8
Since, RS = 4x − 10
RS = 4*8 - 10
RS = 32 - 10
RS = 22
Hence, the numerical length of RS is calculated as 22
Given functions are


The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).





Taking 2 as common, we get

Hence The total number of ducks and swans in the lake after n months is