Answer:
Hope it helps!
Step-by-step explanation:
The graphs of quadratic functions are called parabolas. Here are some examples of parabolas. All parabolas are vaguely “U” shaped and they will have a highest or lowest point that is called the vertex. Parabolas may open up or down and may or may not have x -intercepts and they will always have a single y -intercept.
The graph of a quadratic function is a U-shaped curve called a parabola. The sign on the coefficient a of the quadratic function affects whether the graph opens up or down. If a<0 , the graph makes a frown (opens down) and if a>0 then the graph makes a smile (opens up).
Credits:
Graphs of Quadratic Functions | Boundless Algebra - Lumen Learning
Algebra - Parabolas - Pauls Online Math Notes
Answer:
-5
Step-by-step explanation:
Dude there is no graph to see how are we supposed to answer
Answer:
73 cups of coffee are needed for lethal dose.
Step-by-step explanation:
A pound equals 0.453 kilograms. Then, the weight of the person is 54.431 kilograms. The total quantity of caffeine needed for such weight is determined by this simple rule of three:
![x = \frac{200\,mg}{1\,kg}\times 54.431\,kg](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B200%5C%2Cmg%7D%7B1%5C%2Ckg%7D%5Ctimes%2054.431%5C%2Ckg)
![x = 10886.2\,mg](https://tex.z-dn.net/?f=x%20%3D%2010886.2%5C%2Cmg)
And the number of cups of coffee is:
![n = \frac{10886.2\,mg}{150\,mg}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B10886.2%5C%2Cmg%7D%7B150%5C%2Cmg%7D)
![n = 72.575](https://tex.z-dn.net/?f=n%20%3D%2072.575)
73 cups of coffee are needed for lethal dose.
It would take exactly 4 years for these trees to be the same height.
Step-by-step explanation:
Given,
Height of Tree A = 9 feet
1 feet = 12 inches
9 feet = 9*12 = 108 inches
Growth rate = 2 inches per year
Let,
y be the number of years.
A(y)= 108 + 2y
Height of Tree B = 8 feet
8 feet = 8*12 = 96 inches
Growth rate = 5 inches per year
B(y)=96+5y
In case of same height;
A(y)=B(y)
![108+2y=96+5y\\108-96=5y-2y\\12=3y\\3y=12](https://tex.z-dn.net/?f=108%2B2y%3D96%2B5y%5C%5C108-96%3D5y-2y%5C%5C12%3D3y%5C%5C3y%3D12)
Dividing both sides by 3
![\frac{3y}{3}=\frac{12}{3}\\y=4](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%3D%5Cfrac%7B12%7D%7B3%7D%5C%5Cy%3D4)
It would take exactly 4 years for these trees to be the same height.
Keywords: functions, division
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