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mars1129 [50]
3 years ago
15

Find the equation of the line.

Mathematics
1 answer:
Stells [14]3 years ago
4 0

To find the equation of the line, we need to figure out the slope and y-intercept.

To find the y-intercept, look at the number where the line intersects the y-axis. The number is 5. The equation so far is y = ?x + 5.

We still didn't figure out the slope yet. To figure out the slope, pick two points. Use the rise over run method. It is in the image below. The line is going up to the left, so the slope will be negative. Now we know the slope is -1/3. The equation now that we figured out the slope is y = -1/3x + 5.

I hope this helps you! Let me know if I got something wrong.

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A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket price set at , average attendance
Goshia [24]

Answer:

Ticket price 11,5 $  

R(max)  =  132750 $

Step-by-step explanation:INCOMPLETE QUESTION

The ticket price is missing

We will assume 12 $

Let call x the decreasing number of the ticket price

The revenue is

R =  ticket price * numbers of spectator

R(x) =  (  12 - x ) *  ( 11000 + 1000*x )   for all   0 ≤ x  ≤ 4   ( the seating capacity is 15000 )

R(x) =  132000 + 12000*x  - 11000*x - 1000*x²

R(x) =  132000 + 1000*x  - 1000*x²

Taking derivatives on both sides of the equatio we get:

R´(x)  =  1000  -  2000x

R´(x)  = 0    ⇒    1000  -  2000x  =  0

x  =  1000/2000    ⇒  x = 0,5 $

We notice that R´´(x)  < 0    then we have a maximum for  x = 0,5

and the price is 12 - 0,5  = 11,5 $ for ticket

and the R(max) is

R(max) = 132000 + 1000*0,5  + 1000* (0,5)²

R(max) = 132000 + 500 + 250

R(max) = 132750 $

7 0
3 years ago
What is the realationship between the area of the scales ⚖️ used in pictures ?
dlinn [17]
<h2>Explanation:</h2>

As I understand, you need to know the relationship between the area of similar figures. Two shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling, so this means we can make one shape bigger or smaller.

From math, if we call k the scaling factor, then the area of one figure (A_{1}) divided by the area of another similar figure (A_{2}) will be equal to the scaling factor squared. In other words:

\frac{A_{1}}{A_{2}}=k^2

3 0
3 years ago
How to solve the rational equation? (Please include steps not just the answer)
SVETLANKA909090 [29]

1/3 + 1/2 = 1/x

2 and 1/5

    or

3 and 1/4

7 0
3 years ago
Read 2 more answers
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

Z = \frac{X - \mu}{\sigma}

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
Glenn invested $22,000 at 7% interest compounded annually.   How much interest will Glenn earn in 3 years?
Eva8 [605]
$26,950.95 would be the answer.........
7 0
3 years ago
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