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mixer [17]
2 years ago
5

5(x + 3) - (9x - 4)

Mathematics
1 answer:
DerKrebs [107]2 years ago
5 0

Answer:

-4x + 11

Step-by-step explanation:

Distribute and then Simplify

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Use the graph of f(x) below to estimate the value of f '(3):
Vikki [24]

Answer:

is it an abc or what??

Step-by-step explanation:

4 0
2 years ago
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
What single decimal multiplier would you use to increase by 18% followed by a<br> 12% decrease?
ValentinkaMS [17]

Answer:

The single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

Step-by-step explanation:

Let 'x' be the number

As first the number has to be increased by 18%

so

Step 1: write the percentage '18%' in decimal form

18% = 0.18    

Step 2: For percentage increases: add the decimal to 1

1 + 0.18 = 1.18    

Step 3: Multiply the number x by the multiplier, found in Step 2

x × 1.18 = 1.18x

<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>

Apply the same method but with a number 1.18x

  • Write the percentage '12%' in decimal form

12% = 0.12

  • For percentage decreases: subtract the decimal to 1

1 - 0.18 = 0.18

  • Multiply the number 1.18x by the multiplier, found in Previous step

1.18x × 0.18 = 0.21x

Therefore, the single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

7 0
2 years ago
imagine that you are in an argument with a friend about the size of the slice of pizza you were both served. your friend says th
Helga [31]

Answer:

how long it is

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help, please......................................................
natima [27]

Answer:

36

4×4=16

8×2=16

4×2=8/2= 4

16+16+4=36

5 0
3 years ago
Read 2 more answers
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