A piecewise function is a function that behaves differently in different intervals.
Here the piecewise function is:
f(x) = $2 if x < 5
f(x) = x - $3 if x ≥ 5
We know that:
"Fun park charges an entry fee of $2 for any family with less than 5 members."
"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."
If we define x as the number of members of a family, the function of the price will be:
f(x) = $2 if x < 5 (the cost is $2 if the family has less than members)
f(x) = x - $3 if x ≥ 5 (the cost if the family has 5 members or more)
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Answer:
its 10.5 cm
Step-by-step explanation:
its what I got off of khan
Answer:
<em>Their masses are 100 kg and 90 kg</em>
Step-by-step explanation:
<u>Equations</u>
We'll solve the problem by setting only one variable. Let's call:
x = weight of the heavier boxer
Since the sum of the masses of both boxers is 190 Kg:
190 - x = mass of the lighter boxer.
It's given that
of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

Operating:

Multiplying by 5:


Simplifying:


The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.
Their masses are 100 kg and 90 kg
Given that the table shows the total miles Uyen has run this week.
The image of the table is attached below.
The total distance from the table is 
The total distance this week is 1.5 times the distance that she ran last week.
We need to determine the number of miles that Uyen run last week.
<u>The number of miles Uyen run last week:</u>
Let x denote the number of miles that Uyen run last week.
Let us write the equation from the given data.
Thus, we have;

Dividing both sides by 1.5, we have;

Hence, the value of x is 14.8 miles.
Thus, Uyen ran 14.8 miles last week.