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tatuchka [14]
3 years ago
13

A function that can be used to model the cost of producing x t-shirts is c(x)= 10 + 7x, and the function that can be used to mod

el the amount of money to be made from selling x t-shirts is m(x) = 20x.
Write a function p(x) to represent the total profit of selling x number of shirts.
Mathematics
2 answers:
diamong [38]3 years ago
7 0

Hey!

Hope this helps....

~~~~~~~~~~~~~~~~~~~~~~~~

f(x) = 20x - (10 + 7x)

f(x) = 13x - 10


This is because we want to take the Selling Price minus the Production Price, which will allow us to get the Profit...

Hope this Helps!

Ahat [919]3 years ago
4 0
P(x) = amount made - cost
p(x) = 20x-7x-10
p(x) = 13x -10
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3 0
3 years ago
Read 2 more answers
Factor: x(3y-5)+3(3y-15)
alina1380 [7]

3xy-5x+9y-45

Step-by-step explanation:

Step by Step Solution

STEP1:STEP2:Pulling out like terms

 2.1     Pull out like factors :

   3y - 15  =   3 • (y - 5) 

Equation at the end of step2: (x • (3y - 5)) + 9 • (y - 5) STEP3:Equation at the end of step 3 x • (3y - 5) + 9 • (y - 5) STEP4:Trying to factor a multi variable polynomial

 4.1       Split       3xy-5x+9y-45 

 4.1       Split       3xy-5x+9y-45 

             into two 2-term polynomials

             -5x+3xy   and    +9y-45

             This partition did not result in a factorization. We'll try another one:

             3xy-5x   and    +9y-45

             This partition did not result in a factorization. We'll try another one:

             3xy+9y   and    -5x-45

             This partition did not result in a factorization. We'll try another one:

             3xy-45   and    +9y-5x

             This partition did not result in a factorization. We'll try another one:

             -45+3xy   and    +9y-5x

             This partition did not result in a factorization. We'll try 

8 0
1 year ago
Given: △ABC; AB=BC, m∠BDA = 60°, BD=4 cm, BD ⊥ BA . Find: DC, AC.
vekshin1

Answer:

DC = 10.93 cm ,  AC = 9.8 cm

Step-by-step explanation:

From trigonometry;

⇒ Tan 60 = AB/BD

⇒AB = BD Tan 60 ( where BD = 4 cm )

⇒ AB = 6.93 cm

Also, AB=BC , therefore;

⇒ BC = 6.93 cm

⇒ Cos 60 = BD/AD

⇒ AD = BD/ Cos 60 = 4/Cos 60

⇒ AD = 8 cm

From Pythagoras theorem;

⇒ AC^{2} = AB^{2} + BC^{2} = (6.93)^{2} + (6.93)^{2}

⇒ AC = \sqrt{96.05} = 9.80 cm

⇒ DC = BD + BC = 4 + 6.93

⇒ DC = 10.93 cm

8 0
3 years ago
3+2x+x-1=2x+x-2<br> answer?
konstantin123 [22]
It’d be 2=-2 ... but then subtract two from both side and the answer is a null set. Also known as “no solution”..

Best of luck in your studies :)
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8 0
3 years ago
What Numbers Go Into The Venn Diagram
antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

    greater than 9 is  10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the  sum greater or equal to 9 and is

     also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or,   S   =   {2,3,4,5,6,7,8,9,10,11,12}

(a)  The number of ordered pairs where sum is  9 or greater than 9

    = { sum is 9  ,  Sum is 10 ,  Sum is 11,   Sum is 12}

    = {(6,3)(3,6),(4,5)(5,4) ,   (5,5), (6,4),(4,6)  , (6,5)(5,6),   (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is  10

(b)  The number of ordered pairs where sum is odd.

    = { Sum is 3 ,  Sum is 5,   Sum is 7, Sum is 9, Sum is 11}

    = {(1,2)(2,1),   (4,1)(1,4),(2,3)(3,2) ,   (6,1), (1,6),(5,2),(2,5),(4,3)(3,4)  ,

        (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 18

Hence total number of outcomes where the sum is odd = 18

(c) Intersection point refers the outcomes which have sum greater or equal to 9 and is odd

Here, the possible outcomes are  = { Sum is 9 ,  Sum is 11}

                                            ={ (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 6

Hence total number of outcomes where the  sum greater or equal to 9 and is also odd = 6

6 0
3 years ago
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