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pishuonlain [190]
3 years ago
9

Suppose demand d for a company's product at cost x is predicted by the

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

Answer:

0.36x ² + 815.04x + 11,340

Step-by-step explanation:

Revenue = price × quantity

p(x) = x+14

d(x) = 0.36x + 810

Revenue = price × quantity

= (x + 14) * (0.36x + 810)

= 0.36x² + 810x + 5.04x + 11,340

= 0.36x ² + 815.04x + 11,340

Company's revenue = 0.36x ² + 815.04x + 11,340

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The perimeter of the rectangle is 146 units. What is the length of the longer side?
NeTakaya

we know that

the perimeter of the rectangle is equal to

P=2W+2L

where

P is the perimeter of the rectangle

W is the width of the rectangle

L s the length of the rectangle

In this problem

P=146\ units \\ W=2x\\ L=3x+3

Substitute the values in the formula above

P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units

W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units

therefore

the answer is

the length of the longer side of the rectangle is equal to 45\ units

7 0
2 years ago
Read 2 more answers
What is the factorise 3m-6
cupoosta [38]

The answer is:      "  3(m − 2)  "  .

__________________________________

  →  The "factorized version" of the binomial expression, " 3m − 6 " ,  is:

__________________________________

                →   "  3(m − 2) " .

__________________________________

Explanation:

To solve:

__________________________________

<u>Note</u>:  We are given the expression:  " 3m − 6 " ;

and we are asked to "factorize" this expression.

Note that this expression is a "binomial expression" — which means there are two (2) terms — in this case:   "3m" and "6" .

Since only one (1) of these 2 (two) terms has a variable, and the remaining terms is a "constant" (non-zero integer), write these 2 (two) terms as:

 1)  the coefficient of the variable given in the term shown with a "coefficient" :

       →   that is:  "3"  ;  and:

 2)  the other term:  "6" .

→  With the numbers:  "3 and 6" , we can factor out a "3" ;  

          →  {since:  " 6 ÷ 3 = 2 "} ;

 →   So;  given:  

               " 3m − 6 " ;  

 →   We can "factor out" a "3" ; as follows:

           →   Take the first term:  " 3m " :

                    " 3m  =  3 * m " ;

__________________________________

           →   Take the second term:  "  6 " :

                    "  6 = 3 * (what value?) ;

                 → divide each of this equation by "3" ;

    to isolate the "missing value" on one side of the equation; & to solve for the "missing value" ; as follows:

        →           "  6 / 3 = [ 3 * (what value?) ] / 3  ;

                    →  to get:  " 2  =  "(the missing value)"  ;

    →   So;    "  6 = 3 * (what value?) ;

           →     " 6 = 3 * 2 " .  

           →   Take the second term:  "  6 " :

           →     " 6 = 3 * 2 " .

__________________________________

So:    " 3m − 6 "  =  (3 * m) − (3 * 2) " .  

Factor out a "3" ;  as follows:

__________________________________

    →  " 3m − 6 "  =  (3 * m) − (3 * 2) " ;

                           =   " 3(m − 2)  "

__________________________________

Let us check our answer:

__________________________________

Note the "distributive property of multiplication"  :

__________________________________

        a(b + c) = ab +  ac ;  

        a(b − c) = ab −  ac ;

__________________________________

So:  Take our answer:  " 3(m − 2) " .

__________________________________

" 3(m − 2)  = ?  (3*m)  −  (3*2)  " ??  ;

__________________________________

Let us substitute "4" for "m" ;  in both sides of the equation;

              →  to see if the equation holds true;  i.e. to see if both sides of the equation are equal when:  " m = 4 " ;

__________________________________

 We have:

__________________________________

     →  " 3(m − 2)  = ?  (3*m)  −  (3*2)  " ??  ;

First let us rewrite this equation;  substitute "4" for "m" ; as follows:

     →   " 3(4 − 2)  = ?  (3*4)  −  (3*2)  " ??  ;

__________________________________

And calculate;  to see if each side of the equation is equal ; i.e. to see if the equation holds true; as follows:

     →   " 3(2)  = ?  (12)  −  (6)  " ??  ;

     →   "  6  = ?  (6)  " ??  ;

     →   "  6 = 6 " !  Yes!  The equation holds true!

__________________________________

Hope this answer was helpful!

Best wishes!

__________________________________

8 0
3 years ago
Can someone answer these question pls
Firdavs [7]
Y= 12 because anything to the 0 power is 1 so 4*1=4 * 3=12
6 0
3 years ago
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What is 58.8 in word form
Taya2010 [7]

Answer:

It fifty-eight and eight tenths

Step-by-step explanation:

4 0
2 years ago
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D is the same as 359 more than the product of 344 and d<br>write the sentence as an equation ​
nignag [31]

Answer:

d = 359 + 344d

Step-by-step explanation:

d = 359 + 344d

7 0
2 years ago
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