In physics, the equation = is called the ideal gas law. It is used to approximate
1 answer:
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Answer:
(A)
As per the given condition.
You have 2 equations for y.
i,e y =8x and y= 2x+2
then, they will intersect at some point where y is the same for both equations.
That is why in equation y=8x you exchange y with other equation you got which is y=2x+2 once you do this you will have
8x = 2x+2 and the solution of which will satisfy both equation.
(B)
8x = 2x + 2
to find the solutions take the integer values of x between -3 and 3.
x = -3 , then
8(-3) = 2(-3) +2
-24 = -6+2
-12 = -4 False.
similarly, for x = -2
8(-2) = 2(-2)+2
-16 = -2 False
x = -1
8(-1) = 2(-1)+2
-8= 0 False
x = 0
8(0) = 2(0)+2
0= 2 False
x = 1
8(1) = 2(1)+2
8= 4 False
x = 2
8(2) = 2(2)+2
16 = 6 False
x = 3
8(3) = 2(3)+2
24 = 8 False
there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.
(C)
The equations cab be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.
The point of intersection are the values of the variables which satisfy both equations at a particular point.
you can see the graph as shown below , the point of intersection at x =0.333 and value of y = 2.667
Answer:
1.8
Step-by-step explanation:
The point of intersection of the left-side function with the right-side function is the value of x where the two functions evaluate to the same quantity. That value of x is near 1.785, as indicated on the attached graph. Rounded to the nearest tenth, the value of x is 1.8.
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<em>Refinement of the graphical solution</em>
An iteration method called Newton's Method can be used to refine the estimate to the limit of accuracy of the calculator. For that, it is convenient to define a function such as the one you get when you subtract the right side from the left side. Newton's Method is good at finding the zero(s) of such a function.
The function defined as g(x) in the attachment is the iterator for Newton's Method. It gives the next "guess" based on the guess you give it as an argument. When there is no change, the guess is as accurate as the calculator can provide. Here, that refined estimate of x is x ≈ 1.78522264685.
