Answer:
70
Step-by-step explanation:
Chem : Phy = 3: 2
Since we have 105 pupils studying Chem and let's say we have x students stuyding Phy.
We have :
x=70
Which solid figure has a base that is a polygon and triangular faces that meet
2 answers:
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Answer:
(2,-3) and (-2,5)
Step-by-step explanation:
Let us graph the two equations one by one.
1.
If we compare this equation with the slope intercept form of a line which is given as
we see that m = -1 and c =1
Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .
Let us find another point by putting x = 1 and solving it for y
Let us find another point by putting x = 2 and solving it for y
Hence the another point will be (2,-3)
Let us find another point by putting x = -2 and solving it for y
Hence the another point will be (-2,5)
Now we have two points (0,1) ,(1,-1) , (2,-3) and (-2,5) we joint them on line to obtain our line
2.
It represents the parabola opening upward with vertices (1,-4)
Let us mark few coordinates so that we may graph the parabola.
i) x=0 ; ; (0,-3)
ii)x=-1 ; ; (-1,0)
iii) x=2 ; ;(2,-3)
iii) x=1 ; ;(1,-4)
iii) x=-2 ; ;(-2,5)
Now we plot them on coordinate axis and line them to form our parabola
When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.
We can let x and y represent cups of lemonade and numbers of lemon bars, respectively. Then the constraints are ...
- x ≥ 150
- y ≥ 0
- 2x +1.5y ≥ 500
- 0.25x +0.20y ≤ 100
A graph is shown in the attachment, with the ordered pairs plotted. It is not feasible to sell half cups of lemonade or half lemon bars, so the second and third choices must be excluded. The point (160, 110) falls outside the feasible region, so is not a correct choice.
The correct choices are ...
- (150, 200)
- (180, 100)
