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zhannawk [14.2K]
3 years ago
6

The Music Express is going to buy music bundles from a company that is going out of business. The company charges different amou

nts for bundles of pop and rock music:
Cost for each pop music bundle is $1200
Cost for each rock music bundle is $950
One - time fee for rights to the pop music is $300
One - time fee for rights to the rock music is $250.
Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for rock music bundles. Identify the variables in the equations.
Mathematics
2 answers:
Aneli [31]3 years ago
8 0

Answer:

Pop equation:1200C + 300 = D

Rock equation:950A + 250 = B

Step-by-step explanation:

coldgirl [10]3 years ago
5 0

Answer:

Rock bundles:

950R+250

pop bundles:

1200P+300

Step-by-step explanation:

R=amount of rock bundles

P=amount of pop bundles

Rock bundles:

950R+250

pop bundles:

1200P+300

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Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
barxatty [35]

Answer:

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx

If f(x) = 7 +10\cdot x - 9\cdot x^{2}, a = 0, b = b and \bar f = 8, then:

\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8

\frac{7}{b}\int\limits^b_0 \, dx  + \frac{10}{b}  \int\limits^b_0 {x}\, dx - \frac{9}{b}  \int\limits^b_0 {x^{2}}\, dx = 8

\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8

7 + 5\cdot b - 3\cdot b^{2} = 8

3\cdot b^{2}-5\cdot b +1 = 0

The roots of this polynomial are determined by the Quadratic Formula:

b_{1} \approx 1.434 and b_{2} \approx 0.232.

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

7 0
4 years ago
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irina [24]
I mean, I don't know how to explain a generic way to solve this. Ask me about the specific train of thought if you are interested:

7 * 18 + 45 / 3 - 2 = 139
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6 0
3 years ago
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Igoryamba

Answer:

Angle A = 30.8

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Step-by-step explanation:

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I just plugged in numbers until it worked.

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