Ralph is sewing panels of fabric together to make a drape for the set of theatre production .The lengths of panels are 1.9 meter
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The number of $0.50 increases to maximize the profit is X = 1.
First of all, we need to write the linear function which represents the price of the ticket for each increase of $0.50:
P - Price of each ticket.
x - number of increases.
We know that the current price is $5.00, so:
After that, let's build a linear function which shows the number of tickets sold <u>for each</u> price increase:
T - number of tickets.
x - number of increases.
With all this done, we can finally build the quadratic function which represents the money earned:
M - money earned
Now, to finish, we only have to <u>calculate the value of X</u>(number of increases) which can give us the maximum value of this function:
the X coordinate for the maximum value of a quadratic is expressed by:
In our equation, b = 100 and a = - 50 :
Thus, the number of increases which <u>maximizes</u> the profit is 1.
Learn more about linear and quadratic functions in: brainly.com/question/4119784
<h3>Answer: Choice A, 29 degrees</h3>
Central angle CBA is a right angle, so it is 90 degrees. This means the arc measure from A to C, following the shortest path on the curve, is 90 degrees. This is minor arc CA. A minor arc is one that is less than 180 degrees in measure.
We want to find the measure of minor arc DE. This is the last piece of the puzzle, so to speak, that forms the entire arc ACD. This arc is 180 degrees because AD is a diameter.
So,
(minor arc DE) + (minor arc EC) + (minor arc CA) = arc ACD
x + 61 + 90 = 180
x + 151 = 180
x + 151 - 151 = 180 - 151 .... subtract 151 from both sides
x = 29
Minor arc DE is 29 degrees.
Check out the attached image below if you're still stuck. Hopefully the image clears any confusion you may have.