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juin [17]
2 years ago
5

The constraints of a problem are listed below. What are the vertices of the feasible region?

Mathematics
1 answer:
castortr0y [4]2 years ago
6 0
We will draw the graph according to the given
constraints
NOTE: when we draw the graph from
constraints inequalities becomes equalities just
to draw the graph
Given constraints are:
Ar + 34 ≤ 12
20 + 64 <15
Now we draw the graph of given constraints
using graphing calculator. Please see the
attachment for the graph. Shaded region is the
feasible region
You might be interested in
A sector with a radius of 15 cm has a central angle measure of 8π/5 what is the area of the sector
Inessa05 [86]

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360   × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm  and angle Ф = 8π/5

area of sector = 1/2 × r² × Ф  

                         =1/2 × 15² ×  8π/5

                         =1/2 ×225 × 8π/5

                          =360π cm²

area of the sector = 360π cm²

8 0
3 years ago
Solve the following equation by identifying all of its roots including any imaginary numbers and multiple roots.
Advocard [28]
I think it equals 4
7 0
3 years ago
Read 2 more answers
-5+13=k<br><img src="https://tex.z-dn.net/?f=%20-%205%20%2B%2013%20%3D%20k" id="TexFormula1" title=" - 5 + 13 = k" alt=" - 5 + 1
Vikentia [17]
Use the communicative property of addition to switch to order and you get
13 - 5, so the answer is 8, or k = 8

OR

-5 + 13 = k
Combine like terms
8 = k
or
k = 8<span />
5 0
3 years ago
Find −2310+425. Write your answer as a mixed number in simplest form.
Kamila [148]
Answer: -1885/1

Explanation: The solution to -2310 added to 425 is -1885. And in order to make this whole number a fraction, you must add a 1 as the denominator.
3 0
2 years ago
-8 ( y + 4 ) = 10y + 4
maks197457 [2]
Let's solve your equation step-by-step.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4

</span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4

</span></span><span>Simplify: </span><span><span><span><span>(<span>−8</span>)</span><span>(y)</span></span>+<span><span>(<span>−8</span>)</span><span>(4)</span></span></span>=<span><span>10y</span>+4</span></span>(Distribute)<span><span><span><span>−<span>8y</span></span>+</span>−32</span>=<span><span>10y</span>+4</span></span><span><span><span>−<span>8y</span></span>−32</span>=<span><span>10y</span>+4

</span></span>Step 2: Subtract 10y from both sides.<span><span><span><span>−<span>8y</span></span>−32</span>−<span>10y</span></span>=<span><span><span>10y</span>+4</span>−<span>10y</span></span></span><span><span><span>−<span>18y</span></span>−32</span>=4

</span>Step 3: Add 32 to both sides.<span><span><span><span>−<span>18y</span></span>−32</span>+32</span>=<span>4+32</span></span><span><span>−<span>18y</span></span>=36

</span>Step 4: Divide both sides by -18.<span><span><span>−<span>18y</span></span><span>−18</span></span>=<span>36<span>−18</span></span></span><span>y=<span>−2

</span></span>Answer:<span>y=<span>−<span>2

Good luck mate :P
</span></span></span>
7 0
3 years ago
Read 2 more answers
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