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Alika [10]
2 years ago
11

HELP FAST

Mathematics
1 answer:
belka [17]2 years ago
7 0

Answer: 1)

y < 0

x >= 0

2)

3x - 4y < 1

3x - 4y < 8

3) 4x + y > 4

8x + 2y < -5

4)

3x - y > 1

6x - 2y < 20

Step-by-step explanation:

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A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he
Nina [5.8K]

The maximum units is 200 and , Total revenue is $8,000

<u>Step-by-step explanation:</u>

Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:

We have following function as R(x)=80x-0.2x^ 2 . Let's differentiate this and equate it to zero to find value of x for which the function is maximum!

⇒ R(x)=80x-0.2x^ 2

⇒ \frac{d(R(x))}{dx}=\frac{d(80x-0.2x^ 2)}{dx}

⇒ \frac{d(R(x))}{dx}=\frac{d(80x)}{dx}-\frac{d(0.2x^ 2)}{dx}}

⇒ 0=80-2x(0.2)

⇒ \frac{80}{0.4}=x

⇒ x=200

Now , Value of function at x=200 is :

⇒ R(200)=80(200)-0.2(200)^ 2

⇒ R(200)=16000-8000

⇒ R(200)=8000

Therefore , The maximum units is 200 and , Total revenue is $8,000

7 0
3 years ago
Write an equation of a line that passes through the point (3,2) and is parallel to the line y=3x-4
disa [49]
Parallel lines should have the same slope. Therefore, you know which point it passes through and the slope. Plug in the points and slop into slope-intercept form to find b. Please refer to the picture.

8 0
3 years ago
5/7 divided by 20/5 <br> then simply it completely
Pavlova-9 [17]

Answer:

5 / 28

Step-by-step explanation:

5/7 ÷ 20/5

= 5/7 x  5/20

= (5 x 5) / (7 x 20)

= 25 / 140    (divide numerator and denominator by 5)

= 5 / 28

5 0
3 years ago
Negative plus positive equals
julia-pushkina [17]
A negative plus a positive equals a negative

5 0
3 years ago
Read 2 more answers
Use the rule provided to generate the first five terms of the sequence. The rule<br> is 4n + 5.
lesya692 [45]

Answer:

9, 13, 17, 21,25

Step-by-step explanation:

n=1, 4×1+5=9

n=2, 4×2 +5=13

::

:

n=5, 4×5 + 5= 25

4 0
3 years ago
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