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nikklg [1K]
3 years ago
7

The local high school is having a talent show. On Monday they sale 5 children tickets and 3 adult tickets for $25 On Tuesday the

y sale 4 children tickets and 4 adult tickets for $28. How much does a child's ticket cost?
Mathematics
1 answer:
Lunna [17]3 years ago
4 0
The adult tickets cost $5 and the child tickets cost $2

Monday
5 x ($2) + 3 x ($5) = $25

Tuesday
4 x ($2) + 4 x ($5) = $28
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F(x)=7x-17/x^2+6x+9 <br>solve using fractional decomposition
Kazeer [188]

Answer:

f(x) = 7/(x+3) -38/(x+3)²

Step-by-step explanation:

The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.

You can start with the form ...

... f(x) = B/(x+3) + A/(x+3)²

and write this sum as ...

... f(x) = (Bx +3B +A)/(x+3)²

Equating coefficients gives ...

... Bx = 7x . . . . . B = 7

... 3B +A = -17 . . . . the constant term

... 21 +A = -17 . . . . filling in the value of B

... A = -38 . . . . . . . subtract 21 to find A

Now, we know ...

... f(x) = 7/(x+3) -38/(x+3)²

8 0
3 years ago
Rationalize the denominator !!!
satela [25.4K]

Answer:

\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\

1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}

\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13

= \frac{4+\sqrt{3}}{13}

x = 4

y = 3

z = 13

4 0
1 year ago
Read 2 more answers
What is the full number of pie
IgorC [24]
The first 10 and 50 digits of Pi:
3.14159265 35897932384626433832795028841971693993751
4 0
3 years ago
Read 2 more answers
Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4
Nady [450]

Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Average rate of 6.4 per 30 minutes.

This means that \mu = 6.4

What is the probability that three or four customers will arrive during the next 30 minutes?

P = P(X = 3) + P(X = 4)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726

P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162

P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888

18.88% probability that three or four customers will arrive during the next 30 minutes

4 0
3 years ago
Is this number a monomial, binomial, or trinomial?
gayaneshka [121]
The answer is B. Binomial. :)
7 0
3 years ago
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