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VikaD [51]
2 years ago
11

Solve -3(x+4) = 7x + 4

Mathematics
1 answer:
Nataliya [291]2 years ago
7 0

Answer:

x = -8/5

Step-by-step explanation:

-3(x+4) -> -3x-12

-3x-12=7x+4

-7x

-10x-12=4

           +12

-10x=16

16/-10 = -8/5

-8/5 = x

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17/50

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This is because you add the blue and yellow then you would always have your total of items at the bottom

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What property is 5x6x7=5x7x6
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Commutative Property

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Write a real world problem that can be represented by 10x + 40 = 100.
NISA [10]
10x + 40 = 100

A restaurant owner sells each plate of rice for 10 dollars plus an additional 40 dollars for the entrance. Mack goes to that restaurant and pays 100 dollars in total. How much plates of rice did he order?<span />
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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
Eleanor and her little sister Joanna are responsible for two chores on their family’s farm, gathering eggs and collecting milk.
iris [78.8K]

Answer:

4 dozens

Step-by-step explanation:

<em>Find Eleanor and Joanna's ratio of eggs to milk</em>

Eleanor:

<em>Dozen eggs : gallons of milk</em>

9 : 3

3 : 1

Joanna:

<em>Dozen eggs : gallons of milk</em>

2 : 2

1 : 1

<em>They gather one gallon of milk each which means Joanna has 1 dozen eggs and Eleanor has 3 dozens of eggs.</em>

Total dozen of eggs = 3 + 1 = 4

Therefore, total dozen of eggs the family have per week is 4 dozens.

4 0
3 years ago
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