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Oksanka [162]
3 years ago
13

Write a function, f(x) , to represent how much money Alex collected from selling tickets

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0
Example

normally the ammmount you earn is calculated by (how many you sold) times (how much 1 costs)

so lets say each ticket costs c
he sold x tickets


f(x)=cx where c=cost per ticket and x=number of tickets sold
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A highway patrol officer is seated on a motorcycle on a curvy section of Highway 1. The posted speed limit is 45 miles per hour
Alex787 [66]

Answer:

  80.7 mph

Step-by-step explanation:

In order to catch the car at the exit, the officer must cover the distance in 30 seconds less time than the car does. The time, speed, distance relation can be used.

<h3>Time for car to reach the exit</h3>

The relation between time, speed, and distance is ...

  time = distance/speed

Here, speed is in miles per hour, and distance is in miles. That means time will be given in hours by the straightforward application of this formula.

  time = (3.6 mi)/(68 mi/h) = (3.6/68) h = 9/170 h

<h3>Time for the motorcycle to reach the exit</h3>

There are 3600 seconds in 1 hour, so 30 seconds represents this fraction of 1 hour:

  30/3600 = 1/120

The motorcycle will have this amount of time less than the time the car takes to reach the exit, so ...

  (9/170 -1/120) h = (9(120)-170)/(170×120) h = 910/20400 h = 91/2040 h

<h3>Motorcycle speed</h3>

The speed required to cover 3.6 miles in 91/2040 hours is ...

  speed = distance/time

  (3.6 mi)/(91/2040 h) = 3.6×2040/91 mph = 7344/91 mph ≈ 80.7 mph

The officer's average speed in pursuit must be 80.7 miles per hour (or faster).

__

<em>Additional comment</em>

There are other ways the problem can be worked. One of them is to consider the remaining distance the car must travel when the officer begins pursuit. That will be 3.6 mi less (1/120 h)(68 mi/h) = 17/30 miles. The ratio of the officer's speed to the car's speed will be the same as the ratio of the officer's miles to the car's miles: 3.6/(3.6 -17/30) × 68 mph ≈ 80.7 mph.

Intermediate values used in the calculations should be kept at full calculator precision. Rounding should only be done at the end. Here, the actual speed required is 80.7032967... mph, rounded down for the above result.

6 0
2 years ago
In the expression 1 o 2 o 3 o 4 each o is to be replaced be either + or x.
disa [49]
The answer is e 25 
as 2 time 3 times 4 is 24 plus the 1
7 0
3 years ago
Find an equation of the plane passing through (0 comma negative 1 comma 1 )that is orthogonal to the planes 3xplus4ynegative 3ze
galben [10]

Answer:

The equation of plane is

22x -3y+18z = 21

Step-by-step explanation:

We have to find the equation of plane passing through the point (0,-1,1) and orthogonal to the planes

n_1:3x + 4y-3z = 0\\n_2:-3x + 2y + 4z = 5

Thus, we can write:

n_1:\\n_2:

We will evaluate:

n = n_1\times n_2\\\\n = \left[\begin{array}{ccc}i&j&k\\3&4&-3\\-3&2&4\end{array}\right] \\\\n = i(16 + 6)-j(12-9) +k(6+12)\\n = 22i-3j+18k\\n =

The required plane passes through the point (0,-1,1)

Thus, the equation of plane is

n.=0\\\Rightarrow .=0\\\Rightarrow 22(x) -3(y+1) + 18(z-1) =0\\\Rightarrow 22x - 3y - 3 + 18z - 18 = 0\\\Rightarrow 22x -3y+18z = 21

is the required equation of the plane.

7 0
3 years ago
Can you please help me out with this question, Thank youu❤️
scoundrel [369]

Answer:

D

Step-by-step explanation:

D is not a correct way to label the following angle because the letter on the angle starts with w, then x, then y and not y, then x, then w...

5 0
3 years ago
Find the value of this expression if x = 5.<br> x2 – 5
BigorU [14]
The value is 5, the steps above are correct
5 0
2 years ago
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