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krek1111 [17]
3 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]3 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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Maureen took a train from Chesterton to Riverside by way of Watertown and Salem. The train went 8 kilometers from Chesterton to
Brrunno [24]

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3 0
3 years ago
Monica spent 3/4 hours listening to tapes of Beethoven and Brahms. She spent 1/5 hours listening to Beethoven . How many hours w
ELEN [110]

Answer:

Monica spent 0.55 hours listening to Brahms.

Step-by-step explanation:

We are given the following in the question:

Amount of time spent  listening to tapes of Beethoven and Brahms =

=\dfrac{3}{4}

Amount of time spent  listening to Beethoven =

=\dfrac{1}{5}

Total time spent listening to Brahms =

Amount of time spent  listening to tapes of Beethoven and Brahms - Amount of time spent  listening to Beethoven

=\dfrac{3}{4}-\dfrac{1}{5}\\\\=\dfrac{15-4}{20}\\\\=\dfrac{11}{20}\text{ Hours}\\\\=0.55\text{ Hours}

Thus, Monica spent  \frac{11}{20}\text{ hours} listening to Brahms.

7 0
3 years ago
Read 2 more answers
5. Louis has 21 coins in his pouch, how many nickels and<br> dimes does he have if he has $1.35?
PolarNik [594]
N + d = 21
0.5n + 0.10d = 1.35
5n + 10d = 135
d = 21-n
5n + 210 - 10n = 135
-5n = -75
n = 15
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3 0
3 years ago
A rectangular piece of paper with length 35 cm and width 14 cm has two semicircles cut out of it, as shown below.
Ede4ka [16]

Answer: 336.14 cm²

Step-by-step explanation:

To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²

3 0
3 years ago
What’s the domain and range of this graph?
avanturin [10]

Given:

The graph of a downward parabola.

To find:

The domain and range of the graph.

Solution:

Domain is the set of x-values or input values and range is the set of y-values or output values.

The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.

Domain = R

Domain = (-∞,∞)

The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.

From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.

Range = All real numbers less than or equal to -4.

Range =  (-∞,-4]

Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].

3 0
2 years ago
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