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cricket20 [7]
3 years ago
7

The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an a

nnual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?
neither Grace nor Roger
only Grace
only Roger
both Grace and Roger
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:

Roger

Step-by-step explanation:

Since he is attending more shows, he will benefit. He will save a net amount of $40

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Answer:

Part 1) In the procedure

Part 2) In the procedure

Step-by-step explanation:

Part 1) Observing the graph

The roots are x=-1/2 and x=4

Remember that, the roots are the x-values when the value of y is equal to zero (the x-intercepts)

That's why Sheldon immediately realizes Howard's solution is incorrect

Part 2) we have

y=2x^{2}-7x-4

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

equate the equation to zero

2x^{2}-7x-4=0  

so

a=2\\b=-7\\c=-4

substitute

x=\frac{-(-7)(+/-)\sqrt{-7^{2}-4(2)(-4)}} {2(2)}

x=\frac{7(+/-)\sqrt{49+32}} {4}

Howard's error is in this step, is wrong with the sign of the number 7, is positive instead of negative

x=\frac{7(+/-)\sqrt{81}}{4}

x=\frac{7(+/-)9}{4}

x=\frac{7(+)9}{4}=4

x=\frac{7(-)9}{4}=-1/2

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Evgesh-ka [11]
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Answer:

Step-by-step explanation:

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5 0
3 years ago
A-t shirt cost $4 a sweter cost 4 times as much as the t-s
slava [35]
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