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Daniel [21]
3 years ago
11

Find the number a such that the line x = a divides the region bounded by the curves x = (y^2) − 1 and the y-axis into 2 regions

with equal area. Give your answer correct to 3 decimal places.
Mathematics
1 answer:
pshichka [43]3 years ago
4 0
The graph of x= y^2 - 1 is a sideways parabola with its vertex at (-1, 0) and 
y-intercepts at (0,1) and (0,1).

This means that the line x= 0, meaning a=0, splits the graph in half, with equal area above and below the x-axis.

The answer is a=0
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6. The revenue function for a production by a theatre group is
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Answer:

When the ticket price is $3 or $4 the production will be in break even

Step-by-step explanation:

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

The revenue function for a production by a theatre group is R(t) = -50t^2 + 300t where t is the ticket price in dollars. The cost function for the production is C(t) = 600-50t. Determine the ticket price that will allow the production to break even

we know that

Break even is when the profit is equal to zero

That means

The cost is equal to the revenue

we have

R(t)=-50t^2+300t

C(x)=600-50t

Equate the cost and the revenue

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solve for t

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Solve the quadratic equation by graphing

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see the attached figure

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