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TEA [102]
2 years ago
7

A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of

the app's price (in dollars) is modeled by P(x)=-2(x-3)(x-11)P(x)=−2(x−3)(x−11) Which app prices will result in \$0$0 annual profit? Enter the lower price first.
Mathematics
2 answers:
vladimir1956 [14]2 years ago
8 0

Answer: -66 Million Dollars

Step-by-step explanation:

1. The company's profit if the app price is 0 dollars is given by P(0).

2. P(0)=−2(0−3)(0−11)

     =−2(−3)(−11)

     =−66

​3. In conclusion, the company will have a profit of -66 million dollars if the app price is 0 dollars.

In other words, the company would lose 66 million dollars.

(I Hope This Explanation Helps You And Many Others Have A Better Understanding On How To Solve These Kinds Of Problems. Don't Be Afraid To Write This Step By Step Explanation Down In Your Note Book. May God Be With You Always.)

liberstina [14]2 years ago
7 0

Answer:

x = $3, or x = $11


Step-by-step explanation:

The equation given is P(x)=-2(x-3)(x-11)

where

  • P(x) is the profit, and
  • x is the app price

<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>

P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)

<em>It means (x-3) = 0  OR  (x-11) = 0</em>

So, x = 3, or 11

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2.8 meters linen divided into 45 cm pieces = # of pieces and waste
pogonyaev
2.8 meter= 2800cms

To solve this, we can create a simple algebraic equation:
45x=2800
Divide both sides by 45.
(45x)/45=(2800)/45
x=62.222

You can make 62 full pieces.

To find the waste, multiply the numbers of pieces by the length of each.
62*45
=2790
2800-<span>2790
=10 centimeters

There would be 10 centimeters of wasted linen.

Hope this helps!
-Benjamin</span>
6 0
2 years ago
A friend of mine is giving a dinner party. His current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabe
Vlada [557]

Answer:

a) 720, b) 475020, c) 69300, d) 0.146, e) 0.001

Step-by-step explanation:

It is given that my friend has 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet.

a)

If he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways is

10\times 9\times 8=720

Therefore if he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways are 720.

b)

The total number of bottles is

10+8+11=29

Combination is defined as

^nC_r=\frac{n!}{r!(n-r)!}

where, n is total possible outcomes and r is selected outcomes.

we have to select 6 bottles out of 29. so,

^{29}C_{6}=475020

Therefore ff 6 bottles of wine are to be randomly selected from the 29 for serving, then the total number of ways are 475020.

c)

If we want to select 2 bottles of each variety, then total number of ways are

^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}=69300

Therefore if 6 bottles are randomly selected with two bottles of each variety, then the total possible ways are 69300.

d)

Probability is defined as

P=\frac{\text{Total outcomes}}{\text{Favorable outcomes}}

\frac{^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}}{^{29}C_{6}}=\frac{69300}{475020}\approx 0.146

Therefore the probability that two bottles of each variety being chosen is 0.146.

e)

If 6 bottles are randomly selected, then the probability that all of them are the same variety is

\frac{^{10}C_{6}+^{8}C_{6}+^{11}C_{6}}{^{29}C_{6}}=\frac{700}{475020}\approx 0.001

Therefore if 6 bottles are randomly selected, then the probability that all of them are the same variety is 0.001.

7 0
2 years ago
Dan is helping to build a stage for a concert.
Fudgin [204]
1,512 meters squared
4 0
2 years ago
A line contains (34,12) and (32,48) what is the slope of the line in simplified form? HELP ASAPl
Tcecarenko [31]

Answer:

m=-18

Step-by-step explanation:

1. The line contains the points (34,12) and (32,48). Then, you need to use the slope formula, which is:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

2. When you substitute values into the formula, you obtain:

y_{2}=48\\y_{1}=12\\x_{2}=32\\x_{1}=34

m=\frac{48-12}{32-34}\\m=\frac{36}{-2}\\m=-18


4 0
2 years ago
A cake manufacturer boxes Swiss chocolate and German chocolate cakes at one site. A box of Swiss chocolate cake contains 0.55 lb
Kobotan [32]

Answer:

2,500 German chocolate cake boxes.

1,500 Swiss chocolate cake boxes.

Step-by-step explanation:

Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:

0.55*S +0.59*G = 2,300\\0.45*S+0.41*G = 1,700

Solving the linear system above:

(0.55 *S +0.59*G)- \frac{0.55}{0.45} (0.45*S+0.41*G)= 2,300-\frac{0.55}{0.45}*1,700*\\0.088888*G = 222.222\\G=2,500\\S =\frac{2,300-2,500*0.59}{0.55}\\S=1500

2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.

6 0
2 years ago
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