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)
If you want to learn more, you can read:
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Answer:
y = -3
Step-by-step explanation:
{y = x/2 - 4
y = 1 - 2 x
Substitute y = x/2 - 4 into the second equation:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
In the second equation, look to solve for x:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
Add 2 x + 4 to both sides:
{y = x/2 - 4
(5 x)/2 = 5
Multiply both sides by 2/5:
{y = x/2 - 4
x = 2
Substitute x = 2 into the first equation:
{y = -3
x = 2
Collect results in alphabetical order:
Answer:
{x = 2
y = -3
I get 433 divided by 8 .... 433/8
Multiply the dimensions by 3 to convert to feet.
12 x 3 = 36 ft.
15 x 3 = 45 ft.
the dimensions are 36 ft. x 45 ft.
Answer:
1
Step-by-step explanation:
The amplitude is the maximum distance away from the middle of the wave. Here we can see that the middle of the wave is the x axis and the farthest point (largest difference between the y coordinate of the x-axis, or the line y = 0, and the wave) is 1 unit away.