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ollegr [7]
3 years ago
6

Which of these ordered pairs is a solution to the linear inequality 3y - 2x > 8?

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0
For this case we have the following inequality:
 3y - 2x> 8
 The first thing we should do is to graph the function.
 Then, see the set of points that are the solution of the inequality.
 The solution set is given by the shaded region.
 See attached image.
 Answer:
 
Shaded region.
 
See attached image.

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4 0
3 years ago
A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
3 years ago
Solve the value for v.
NemiM [27]

Answer:

Hey mate !!

Your answer is so simple :)

<h2>V= 9°</h2>

Go through the explanation to understand.

Step-by-step explanation:

In the given question,

We see that 105° and it's adjacent angle (i.e. 8v+3° ) forms a supplementary angle. Which means the sum of 8v+3°+105° is 180°

<h3>Therefore,</h3>

According to the question

105 + 8v + 3 = 180

=  > 105 + 8v = 180 - 3

=  > 8v =  177 - 105

=  > 8v = 72

=  > v =  \frac{72}{8}

=  > v = 9

Answer the value of v is 9° .

Hope it helps you!!

#IndianMurga ツ

3 0
3 years ago
I’m doing volume of rectangular prisms
Rom4ik [11]

sorry wait please delete my answer I realized my mistake!

5 0
3 years ago
Read 2 more answers
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