9514 1404 393
Answer:
a) x≥5; y≥10; x+y≤30; 3x+y≤54
b) see attached
c) i. 14 buses; ii. 25 minibuses
Step-by-step explanation:
a. The given restrictions are ...
x ≥ 5 . . . . . . . . . minimum number of buses
y ≥ 10 . . . . . . . . minimum number of minibuses
x + y ≤ 30 . . . . .maximum number of vehicles
3x +y ≤ 54 . . . . maximum number of parking units
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b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.
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c. The second attachment shows the maximum numbers of each.
i. maximum buses: 14 (and 12 minibuses)
ii. maximum minibuses: 25 (and 5 buses)
Answer:
512cm^2
Step-by-step explanation:
Let's imagine cutting the square down that diagonal. Now, we have two isosceles right triangles with a hypotenuse with length 32cm. Let's take one of those triangles for now and focus on it. Let's give the one of the legs of a triangle some length x. Since both legs are the same length, by the Pythagorean theorem:
Since this leg makes up one side of the square, we can use it to calculate the area of the square, which is just the side length squared:
<span>Roster form is a set of members placed between brackets, with each of the individual elements are separated by commas.
For example :
</span><span> {2, 4, 6, 8, 10, 12, ...}.</span>
Step-by-step explanation:
Hence according to ,
So,
Answer:
y = 11x
Step-by-step explanation:
We have two points so we can find the slope
(1,11) and (2,22)
m = (y2-y1)/ (x2-x1)
= (22-11)/(2-1)
= 11/1
The slope is 11
We can use the point slope form to get an equation
y-y1 = m(x-x1)
y-11 = 11(x-1)
Distribute the 11
y-11=11x -11
Add 11 to each side
y-11+11 = 11x-11+11
y = 11x
