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krek1111 [17]
4 years ago
9

A certain companies main source of income is a mobile app. The companies 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) which app prices will result in $0 annual profit?
Mathematics
1 answer:
kap26 [50]4 years ago
7 0

Answer:

  $3, $11

Step-by-step explanation:

The profit function P(x) will be zero when either of its factors is zero. The left factor (x-3) is zero when x=3. The right factor (x-11) is zero when x=11.

Prices of $3 or $11 will result in $0 annual profit.

_____

<em>Additional comment</em>

A price halfway between these values, at (3+11)/2 = 7, will produce maximum profit, $32 million.

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A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other leng
aalyn [17]
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8 0
3 years ago
Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati
Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

7 0
2 years ago
At Marco's school, 5/8 of the students are in the band. What percent of the students are in the band?
Harman [31]
62.5%

5/8 = 0.625 then multiply by 100% to get in terms of percent of 62.5%
7 0
3 years ago
What is the value of x:<br><br> 2 + x = 8
klio [65]
6

2+x=8
Subtract 2 on both sides
x=6
5 0
3 years ago
Read 2 more answers
Two students Stella and vladmir complete the conversion statement 12 feet 8 inches = blank inches.
yuradex [85]

Answer:

so stella is right if thats what you ae asking

Step-by-step explanation:

12 times 12 is 144 and plus 8 is 152


3 0
3 years ago
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