By equating both quadratic equations, Brian can determine the point of intersection of both equations. Upon graphing he was able to identify that both share the same vertex but of opposite opening. Based on this, he can say that both equations are equations of parabolas with same vertex but open on different directions.
AB=BC=CD together with the fact the horizontal lines are parallel implies that HG=GF=FE (can be proved using triangle similarity). So knowing FE=5.1 implies FG=5.1
Since we now know that the horizontal lines are equidistant, it means that ML=LK=KJ (same argument as above). Therefore KL=7.6.
Let me know if you have questions!
Answer:
7y = 20
Step-by-step explanation:
A. x = 25 - 4 / 1.5
B. x = 25 - 4 / 1.5
x = 21 / 1.5
x = 14
Daniel can go on 14 rides. He originally has $25 to spend. He pays $4 just to get in, leaving him with $21. Each ride costs $1.50, so divide $21 by $1.50 to find how many rides he can afford.
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