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astra-53 [7]
3 years ago
9

iTunes and Amazon each have plans for downloading music. iTunes charges $5.00 to join and $0.75 per song. Amazon has no fee to j

oin and charges $1.00 per song. How many songs would you have to download (same number of downloads for each company) so that the prices are the same? Show all work.
Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer:

20 songs.

Step-by-step explanation:

we are given that,  iTunes charges $5.00 to join and $0.75 per song.

Amazon has no fee to join and charges $1.00 per song.

Let x songs would you have to download (same number of downloads for each company) so that the prices are the same.

Then we can write

5+0.75x=1x\\\text{take like terms together by adding -0.75x on both the sides}\\5+0.75x-0.75x=1x-0.75x\\5=0.25x\\\text{Divide both the sides by 0.25}\\x=20

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Answer:

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Just count the squares like you would normally do to a rectangle and do the area like you would normally do with a rectangle

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3 years ago
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Is the binomial a factor of the polynomial nominal function?
Sedbober [7]

The factors for given equation f(x)=x^{3} +3x^{2} -25x-75.

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<u>Step-by-step explanation:</u>

The given equation is f(x)=x^{3} +3x^{2} -25x-75 .

Add 0 at the end of the equation.

x^{3} +3x^{2} -25x-75 = 0.

Let us group the given equation,

(x^{3} +3x^{2}) -(25x-75) =0.

⇒ Group 1: x^{3} +3x^{2} .

Group 2: - 25x +75 .

Pull out factor from each group,

⇒ Group 1: (x+3)(x^{2}).

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

(x+3)(x^{2} -25) =0.

One of the factor is (x+3).

Other factors are solved by the formula, a^{2}-b^{2} = (a+b) (a-b) .

(x+3)(x^{2} -25) = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

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Answer:

(c)=81°, a=9.1, b=12.

Step-by-step explanation:

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m<C=180-(40+59)=81

c=14

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The system shown at the right has no solution, as the grahs never intersect.
On the other hand, the line and the parab. at the left do intersect, and the points of intersection are (-3,0) and (6,6).
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