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nordsb [41]
3 years ago
6

When does the graph of a quadratic function open upward of downward

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
It opens upward when X is an even power. It would be for X squared or X raised to the 4th power.

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A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11, the average attendance has been 27
sasho [114]

Answer:

$15.625

Step-by-step explanation:

Let the revenue collected be R and price per spectator be p then the number of spectators be N. Therefore

R=Np

Using equation of slope of y=mx +c where m is gradient and c is y-intercept

When p=$11, N=27000 and when p=$8, N=31000

The gradient, m will be

m=\frac {31000-27000}{8-11}= -1333.33

To get the y-intercept

N=-1333.33p+c

When spectator number n is 27000, the price p is $11

27000=-1333.33(11)+c hence we solve c

c=27000+(11*1333.33)= 41666.67

Therefore, the linear equation is

N=-1333.33p+ 41666.67

Substituting the linear equation into R=Np we obtain

R=p(-1333.33p+41666.67)

R=-1333.33p^{2}+41666.67p

To obtain maximum revenue, we differentiate the above with respect to price hence obtain

0=2*-1333.33p+41666.67

p=-\frac {41666.67}{2(-1333.33)}= 15.625

Therefore, the price that maximizes revenue is $15.625

4 0
3 years ago
On Monday, Avi walked from his home to the school track and walked 4 laps around the track for a total of 3.5 miles. On Saturday
anyanavicka [17]

Answer:

3.5 = x + 4*y

4 = 2x + 2*y

Step-by-step explanation:

The total distance ran by Avi is the sum of the distance from his house to the track, and the total distance ran in the tracks (that is, the distance of one lap times the number of laps Avi ran).

If we call 'd' the total distance and 'k' the number of laps, we have the equation:

d = x + k*y

So with the data given, we can have the following system:

3.5 = x + 4*y

4 = 2x + 2*y

In the second equation, we have 2x because Avi ran from his home to the track, and in the end ran back home, so Avi ran the distance x two times.

4 0
3 years ago
HELP ASAP! GIVING BRAINLIEST
Effectus [21]

Answer:

Step-by-step explanation: The Answer Would Be D

8 0
3 years ago
Read 2 more answers
What is the volume of a cone with a radius of 2 and a height of 19?
kykrilka [37]

Remember that the cone volume formula is V=\pi r^2\frac{h}{3} , with r = radius and h = height. Using our information, we can form our equation as such: V=\pi 2^2\frac{19}{3} (I'll be keeping the answer in pi form.)

Firstly, solve the exponents:V=\pi 4\frac{19}{3}

Next, multiply 4 and 19/3 together and your answer should be (rounded to the hundreths): V = 25.33π un^3

5 0
3 years ago
Read 2 more answers
Helphelphelphelphelphelphelphelp
solniwko [45]

Answer:

Step-by-step explanation:

the areas are the same, the outer squares of Q are the ones missing in the center

7 0
1 year ago
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