10 POINTS PLEASE ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2 answers:
Answer:
The maximum is at point 5,0
Step-by-step explanation:
These graphs are set up so that one of the intersection points is going to give you either a maximum or a minimum.
The first thing you have to do is graph the 4 constraints. I use a graphing program like desmos.
Put your 4 equations in from top to bottom. The quadrillateral defined by the intersect points I have labeled and 0,0 define the area that contains the intersect points of the 4 graphs.
Now take the intersect points and show the calculations for C
C = 6x - 4y
Point (0,0)
C = 6*0 - 4*0
C = 0
Point (0,3)
C = 6(0) - 4*3
C = - 12
Point (1.5,3.5)
C = 6*(1.5) - 4*(3.5)
C = 9 - 14
C = - 5
Point (5,0)
C = 6*(5) - 4*(0)
C = 30
The maximum is produced from point 5,0
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In the question, we are given with speed of a car and the distance it have to travel.
Given:
- Speed of the car = 40 km/hr.
- Distance to travel = 60 km
So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.
This can be easily done by using the Speed, Distance and Time formula which says:
So, let's solve by using this formula.
⇛ s = v × t
⇛ 60 km = 40 km/hr × t
⇛ t = 60 km / 40 km/hr
⇛ t = 3/2 hr.
⇛ t = 90 mins or 1 1/2 hours
So, time the car will take to travel 60 km:
And we are done !!
#CarryOnLearning....
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Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>
