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WARRIOR [948]
2 years ago
10

This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games: .

What is the average cost per game if James bowls 4 games?
Mathematics
1 answer:
koban [17]2 years ago
4 0

Answer:

$4.75

Step-by-step explanation:

The expression given for then average cost is :

(3n + 7 / n)

If the number of games, n = 4

The average cost becomes :

(3n + 7) / n

Put n = 4 in the equation

(3(4) + 7) / 4

(12 + 7) / 4

19 / 4

= 4 3/4

= $4.75

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What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

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