All categories

2 years ago

Which graph best represents the feasibility region for the system shown below?

Mathematics

2 answers:

krek1111 [17]2 years ago

8 0

<h3>Answer: Correct option is 3rd option. </h3>

Step-by-step explanation: Given inequalities

x≥ 0

y≤ 8

y ≥ x and

y ≥ $-\frac{1}{2}x +6$ .

Let us graph the lines on the calculators first.

x≥ 0 : First inequality line would be a solid line and we would shade right side of y-axis because we have greater than or equal to symbol.

y≤ 8 : Second inequality line would be a solid line and we would shade down the line because we have less than or equal to symbol.

y ≥ x : Third inequality line would be a solid line and we would shade up of the line because we have greater than or equal to symbol.

y ≥ $-\frac{1}{2}x +6$ : Fourth inequality line would be a solid line and we would shade up of the line because we have greater than or equal to symbol.

From the graph we can see that middle portion is the common feasible region.

<h3>Therefore, correct option is 3rd option. </h3>

Vadim26 [7]2 years ago

5 0

The second graph has the right picture

You might be interested in

Write this equation in vertex form.<br> y = x^2 -12x +20

kotegsom [21]

Answer:

$y = (x-6) ^ 2 -16$

Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

$y = (x-h) ^ 2 + k$

Where the vertice of the equation is the point (h, k)

To transform the equation $y = x ^ 2 -12x +20$ in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

$ax ^ 2 + bx + c$

Where a, b and c are real numbers, then the vertex of the equation will be:

$x = - \frac{b}{2a}$

For the given equation:

$b = -12\\a = 1$

Therefore the vertice is:

$x = - \frac{-12}{2(1)}\\\\x = 6$

Now we substitute x = 6 into the equation and find the value of k.

$y = (6) ^ 2 -12 (6) +20\\\\y = -16 = k$

Therefore the vertice is: (6, -16)

And the equation is:

$y = (x-6) ^ 2 -16$

8 0

2 years ago

Read 2 more answers

Find the 12th term of the arithmetic sequence given a3=116 and a7=180<br>

SOVA2 [1]

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ; a + 2d = 116 ---------(i)

a7 = 180; a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

a + 2d = 116 ---------(i)

(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}

- 4d = -64

d = -64/-4

d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

a = 116 - 32

a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

5 0

3 years ago

Tristán wants to build a square garden in his backyard if the garden is going to be 64 ft2 how many feet of material will he nee

Alex777 [14]

Answer:

Tristan will need 32 feet of material for the perimeter of the garden.

Step-by-step explanation:

Given that

Area of square garden = A = 64 square feet

Perimeter = P = ?

We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.

So,

$Area = A = s^2$