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rjkz [21]
3 years ago
9

Solve the following system:

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0
You can rewrite the second equation because you know what y equals, so you can write it as 2x + x + 3 = 9
3x + 3 = 9
- 3
3x = 6
÷ 3
x = 2

And now you use the equation of what y equals and substitute in the value of x, so y = 2 + 3
y = 5

So your final answer is A. (2, 5). I hope this helps!
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The rate of growth of profit​ (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati
Alecsey [184]

Answer:

The function is  P(x) =  \frac{1}{2} e^{-x^2} +0.016

Step-by-step explanation:

From the question we are told that

    The rate of growth  is  P'(x) =  xe^{x} - x^2

     The total profit is P(2)  =$25,000

      The time taken to make the profit is x =  2 \ years

         

From the question

     P'(x) =  xe^{-x^2}  is the rate of growth

  Now here x represent the time taken

Now the total profit is mathematically represented as

       P(x) =  \int\limits {P'(x)} \,  =   \int\limits {xe^{-x^2}} \,

So using substitution method

   We have that

                      u =  - x^2

                      du =  2xdx

  So  

        p(x) =  \int\limits {\frac{1}{2} e^{-u}} \, du

       p(x) =  {\frac{1}{2} [ e^{-u}} +c ]

       p(x) =  {\frac{1}{2}  e^{-x^2}} + \frac{1}{2} c      recall  u =  - x^2   and  let  \frac{1}{2} c =  Z

       

At  x =  2 years  

     P(x)  =$25,000

So

       Since the profit rate is in million

    P(x)  =$25,000 = \frac{25000}{1000000} =$0.025 millon dollars

So  

       0.025 =  {\frac{1}{2}  e^{-2^2}} + Z  

=>    Z = 0.025 - {\frac{1}{2}  e^{-2^2}}  

       Z = 0.016  

So the profit function becomes

         P(x) =  \frac{1}{2} e^{-x^2} +0.016

     

       

5 0
3 years ago
Spiral Review At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75. They decide to leave
Licemer1 [7]

Answer: 4.55

Step-by-step explanation:

6.50x2 = 13 + 9.75 = 20% = 4.55

hoped this helped lol

4 0
3 years ago
Please help solve for angles Q X and Z
Iteru [2.4K]

Answer:

125

Step-by-step explanation:

Sum of Exterior Angles must add to 360 so

60 + 70 + 40 + 65 + x = 360

235 + x = 360

x = 125

6 0
3 years ago
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kkurt [141]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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What is this please help or else
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Answer:

8:45

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