Answer:
ayyy im on de same ?
Step-by-step explanation:
ayyyyyy!
The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and
6 days give the following step function;
![\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Df%28x%29%20%3D%2070%5E%7B%5Ccirc%20%7D%20%20%26%20%5Ctext%7B%20if%20%7D%200%20%5Cleq%20x%20%5Cleq%203%20%5C%5Cf%28x%29%20%3D%2050%5E%7B%5Ccirc%7D%20%26%20%5Ctext%7B%20if%20%7D%203%20%3C%20x%20%5Cleq%206%20%5C%5C%20f%28x%29%20%3D%2035%5E%7B%5Ccirc%20%7D%26%20%5Ctext%7B%20if%20%7D%206%20%3C%20x%20%5Cleq%2012%20%5Cend%7Bcases%7D)
- Please find attached the graph of the step function?
<h3>How can the step function be written?</h3>
The temperature at it is fermented in the first three days = 70 °F
From day 3 to 6 the temperature = 50 °F
From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F
The step function is therefore;
![\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Df%28x%29%20%3D%2070%5E%7B%5Ccirc%20%7D%20%20%26%20%5Ctext%7B%20if%20%7D%200%20%5Cleq%20x%20%5Cleq%203%20%5C%5Cf%28x%29%20%3D%2050%5E%7B%5Ccirc%7D%20%26%20%5Ctext%7B%20if%20%7D%203%20%3C%20x%20%5Cleq%206%20%5C%5C%20f%28x%29%20%3D%2035%5E%7B%5Ccirc%20%7D%26%20%5Ctext%7B%20if%20%7D%206%20%3C%20x%20%5Cleq%2012%20%5Cend%7Bcases%7D)
The graph of the above function created with MS Excel is attached
Learn more about step functions here:
brainly.com/question/2509505
A is <em>on</em> the line x=3, so it goes nowhere when reflected across that line.
A' = (3, 2)
It doesn’t include the number it just stops there
Answer:
Equation: 1.50x + 10
34
Amount of rides Dan can go on: 16 rides
Step-by-step explanation:
We can represent this situation using this equation:
1.50x + 10
34
The $10 Dan has to pay as admission is the fixed number because it doesn't vary and always remains the same, so no x goes next to 10.
Each ride costs $1.50 so this is the variable number as it changes with how many rides Dan goes on, therefore an x will go next to 1.50 to represent the amount of rides Dan goes on.
Lastly, Dan has $34 to spare, so the amount spent has to be less than or equal 34.
Solve the equation for x to find the greatest amount of rides Dan can go on:
1.50x + 10
34 Subtract 10 from 34
1.50x
24 Divide 24 by 1.50
x
16
So, Dan has enough money to go on 16 rides or less.
Let's check this answer:
1.50(16) + 10
34 Multiply 1.50 by 16
24 + 10
34 Add 24 and 10
34
34
Hope this helps! Good luck and if you have any questions let me know in the comments!