Answer:
We can not see all the graphs, so i will just do a graph of the system of inequalities, and you can select the option that matches it.
We have the system:
y ≥ 2x + 1
(to represent this, we need to have a solid line y = 2x + 1, and shade all the region above this)
y ≤ 2x - 2
(to represent this, we need to have a solid line y = 2x - 2, and shade all the region below this)
The graph of this system is shown below:
Answer:
<u>Simplify both sides of the equation</u>
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<u>Subtract 2 from both sides</u>
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<u>Divide both sides by 2</u>
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The perimeter of the rectangle will be given by the equation 2(x₂-x₁)+2(y₂-y₁).
<h3>What is the perimeter?</h3>
The perimeter is defined as the sum of all the sides of the figure. Here in the question, we have the rectangle with coordinates (x₁,y₁),(x₂,y₂),(x₂,y₁)(x₂,y₂).
So by using the distance formula we will find the length and width of the rectangle.
l=x₂-x₁
Width of the rectangle is given by
w=(y₂-y₁)
Hence, the perimeter of the rectangle is given by
P=2l+2w
P=2(x₂-x₁)+2(y₂-y₁)
To know more about perimeter follow
brainly.com/question/19819849
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Answer:
The ball land 20 feet away from where it is kicked.
Step-by-step explanation:
The path of a ball kicked from the ground can be modeled by the equation:
Where x represents the ground.
Substitute y= 0
So,
So, Distance covered by ball = 22-2=20
So, The ball land 20 feet away from where it is kicked.
The volume of a rectangular box is equal to the area of its base times the vertical height. Thus,
V = Ah = 80
Since the base is a square with side x, then the area is equal to x². Hence, we can express h in terms of x.
80 = x²h
h = 80/x²
Now, each lateral side of the rectangular box is in the shape of a rectangle with a length of h and a width of w. Hence, the equation for the total cost would be:
Total Cost = Cost per area of lower base + Cost per area of upper base + 4(Cost per area of lateral side)
Total Cost = 0.45x² + 0.28x² + 4(0.10h*x)
Total Cost = 0.73x² + 0.4hx
Since h = 80/x²,
Total Cost = 0.73x² + 0.4(80/x²)(x)
Total Cost ($) = 0.73x² +32/x