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kykrilka [37]
3 years ago
9

Help I will give Brainily to the one that give me the explanation and answer

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

Step-by-step explanation:

It is a vertical parabola. The equation of a vertical parabola can be written in the form y = a(x-h)² + k, where a>0 and (h,k) is the vertex.

You can eliminate G and I because the leading coefficient is negative.

The graph isn't marked with units, but both F and H say that the vertex is at (0,-2), so you know that each square on the graph is one unit.

Now look for another clue.

The x-intercepts are at (-1,0) and (1,0). Plug one of the points into F and H.

F: 0 = 2·1² - 2

H: 0 ≠ 1² - 2

So, F represents the graph.

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Given the system of constraints name all vertices. Then find the maximum value of the given objective
larisa86 [58]

Answer:

35

Step-by-step explanation:

The constraints are

The red line represents the function

y\leq \dfrac{1}{3}x+1

At y=0

0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3

At x=0

y=0+1\\\Rightarrow y=1

Two points are (-3,0),(0,1)

The blue line represents the function

5\geq y+x

at y=0

5=x

at x=0

y=5

Two points are (5,0),(0,5)

The other two constraints are x\geq 0, y\geq 0. So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

(3,2)

7x-2y=7\times 3-2\times 2=17

(5,0)

7x-2y=7\times 5-2\times 0=35

So, the maximum value of the function is 35.

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