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Brums [2.3K]
3 years ago
14

Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sp

orts period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.
Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

Step-by-step explanation:

The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.

Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is

0 ≤ x ≤ 9460

Where x represents number of people.

For the range, the lowest total sales is 0 × 45.5 = $0

The highest total sales is

9460 × 45.5 = $430430

The range is

0 ≤ y ≤ 430430

Where y represents total sales

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5 kilograms of coffee are going to be shared equally among 4 people.
kherson [118]

Step-by-step explanation:

I'm not sure if this will help but to find out how much coffee 4 people would need you would have to divide 4 into 5 which is 1 1/5

EQUATION-- 4/5= X

I chose that because / means divide 5 into 4 would give you x we don't know what x is until we actually do the problem

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2 years ago
Ava and Sara both started getting an allowance 12 weeks ago, and they haven't spent a cent! They get $1 for each year of their a
4vir4ik [10]

Answer:

Ava is 10 years old

Step-by-step explanation:

Sara is 8

Sara=$8 per week for 12 weeks

$8×12 weeks=$96

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3 years ago
Which are the solutions of x2 = –7x – 8?
vovangra [49]

Answer:

The solutions are:

x_1=\frac{-7+\sqrt{17}}{2}     x_2=\frac{-7-\sqrt{17}}{2}

Step-by-step explanation:

We have the following quadratic equation

x^2 = -7x - 8

We can rewrite the equation as follows

x^2+7x + 8=0

Now we use the quadratic formula to solve the equation

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case:

a=1,\ b=7,\ c=8

Then:

x=\frac{-7\±\sqrt{7^2-4(1)(8)}}{2(1)}

x=\frac{-7\±\sqrt{49-32}}{2}

x=\frac{-7\±\sqrt{17}}{2}

x_1=\frac{-7+\sqrt{17}}{2}

x_2=\frac{-7-\sqrt{17}}{2}

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