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shutvik [7]
3 years ago
12

-24 - (2x + 7) - 11 - 3x

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
The answer should be -42-5x
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Which equation represents a parabola with a focus of (0, 5) and a directrix of y=-1?
Anika [276]

Answer:

x^2 = 12 (y - 2)

Step-by-step explanation:

how to explian

7 0
3 years ago
Eliana has 40$. she plans to save $25 every week to buy a plane ticket that costs $365. how many weeks will it take her to save
SpyIntel [72]

Answer:

c. 13 weeks

Step-by-step explanation:

365-40=325 (to find what she needs to make)

325/25=13 (how long the amount she makes a week will take to finish the cost of the ticket.)

6 0
2 years ago
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If 62% of 80 classmates like hip-hop, but 70% of 60 relatives like hip-hop, which one is more?
SIZIF [17.4K]

62 percent of 80 is more

Step-by-step explanation:

the 62 percent of 80 comes out to 49.6 people and the other one comes out to 42 people

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8 0
2 years ago
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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
A quarter back is sacked for a loss of 5 yards. On the next play, his team loses 15 yards. Then the team gains 12 yards on the t
Romashka [77]

The final amount of yards the team has is 8 yards.

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3 years ago
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